Journal of Double Star Observations - JDSO.org
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Vol. 8 No. 2 April 1, 2012<br />
University <strong>of</strong> South Alabama<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
<strong>Journal</strong> <strong>of</strong><br />
<strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page<br />
VOLUME 8 NUMBER 2 April 1, 2012<br />
Inside this issue:<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Carlos E. López, Florencia Calandra, Martín Chalela, Cecilia López, Luis Pereyra, Emanuel Sillero,<br />
Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
E. O. Wiley<br />
Observation Report for the Year 2009, Humacao University Observatory<br />
R. J. Muller, J.C. Cersosimo, D. Centeno, L. Rivera-Rivera, E. Franco, V. Maldonado, M. De Jesus, R.A.<br />
Rodriguez, A.J. Sosa, M. Rosario, M. Diaz<br />
CCD Measurements <strong>of</strong> Espin’s Neglected <strong>Double</strong> <strong>Star</strong>s: First in a Series<br />
Juan-Luis González Carballo<br />
<strong>Observations</strong>, Analysis, and Orbital Calculation <strong>of</strong> the Visual <strong>Double</strong> <strong>Star</strong><br />
STTA 123 AB<br />
Nicholas J. Brashear, Angel J. Camama, Miles A. Drake, Miranda E. Smith, Jolyon M. Johnson, Dave<br />
Arnold, Rebecca Chamberlain<br />
73<br />
81<br />
92<br />
97<br />
122<br />
Orbital Elements for BU 741 AB, STF 333 AB, BU 920, and R 207<br />
Francisco Rica<br />
Astrometric Observation <strong>of</strong> Delta Cepheus<br />
Naomi Warren, Betsie Wilson, Chris Estrada, Kim Crisafi, Jackie King, Stephany Jones, Akash Salam,<br />
Glenn Warren, S. Jananne Collins, Russell Genet<br />
Astrometric Measurements <strong>of</strong> Selected Visual <strong>Double</strong> <strong>Star</strong>s<br />
Jonathan Boyd, Anthony Brokaw, Jackie Deventer, Monica Garcia’, Mario Gastelum, Yvelisse Guerrero,<br />
Joy Hallett, Kelli Heape, Margarita Ibarra, Richard Langston, Dawn Maddux, Jack Moreland, Randall<br />
Mozzillo, Jason Overholts, Kevin Perez, Valorie Randle, Samantha Savard, Mike Stewart, Lajeana West,<br />
Angela McClure, Douglas Walker<br />
Measurements <strong>of</strong> Beta Lyrae at the Pine Mountain Observatory Summer<br />
Workshop 2011<br />
Joseph Carro, Rebecca Chamberlain, Marisa Schuler, Timothy Varney, Robert Ewing, Russell Genet<br />
Visual Astrometry <strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Beta Lyrae<br />
S. Jananne Collins, Kyle M. Berlin, Clare E. Cardoza, Chris D. Jordano, Tatum A. Waymire, Doug P. 153<br />
Shore, John Baxter, Robert Johnson, Joseph Carro, Russell M. Genet<br />
<strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Nu Draco<br />
Jordan Fluitt, Everett Heath, Bobby Johnson, Grayson Ortiz, Hollie Charles, Reed Estrada, Russell Genet 157<br />
127<br />
140<br />
142<br />
150<br />
Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor<br />
Constellations<br />
Francisco Rica Romero<br />
Study <strong>of</strong> a New CPM Pair 2Mass 01300483-2705191<br />
Israel Tejera Falcón<br />
160<br />
168
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 73<br />
Common Proper Motion Pairs<br />
in the LSPM-North Catalog<br />
Carlos E. López<br />
Observatorio Astronómico Félix Aguilar<br />
Universidad Nacional de San Juan, Argentina<br />
celopez@speedy.com.ar<br />
Florencia Calandra, Martín Chalela, Cecilia López, Luis Pereyra,<br />
Emanuel Sillero, and Matías Vera<br />
Departamento de Ge<strong>of</strong>ísica y Astronomía<br />
Universidad Nacional de San Juan, Argentina<br />
Abstract: We report the identification <strong>of</strong> 96 Common Proper Motion Pairs (CPMP) detected<br />
among the stars listed in the Lepine – Shara Proper Motion (LSPM)-North Catalogue.<br />
The separations <strong>of</strong> these pairs range from about 5 seconds <strong>of</strong> arc up to almost 170<br />
seconds <strong>of</strong> arc.<br />
Introduction<br />
For the past three years, we have been conducting<br />
a data mining search in order to provide improved<br />
coordinates, separations, position angles and<br />
proper motions for some <strong>of</strong> the double stars listed in<br />
the Washington <strong>Double</strong> <strong>Star</strong> (WDS) Catalog. Attention<br />
has been especially focused on LDS systems for<br />
which we identified some differences between the<br />
values quoted in various astrometric databases and<br />
those included in the WDS. We have also isolated<br />
those CPMP that - prima facie - were not found in<br />
the WDS.<br />
In general the project serves a tw<strong>of</strong>old purpose.<br />
On the one hand, it is aimed at searching for additional<br />
astrometric information about double stars<br />
and identifying new pairs. On the other hand, it<br />
seeks to introduce undergraduate students to the use<br />
<strong>of</strong> large databases through the tools proposed in<br />
some <strong>of</strong> the Virtual Observatory initiatives.<br />
The databases we are currently searching include,<br />
among others, SuperCosmos (Hambly et al.<br />
2001), UCAC3 (Zacharias et al. 2010), USNO B1.0<br />
(Monet et al. 2003), SPM4 (Girard et al. 2011) and<br />
LSPM-North (Lepine and Shara, 2005).<br />
Search and Results<br />
In order to identify potential CPMP among the<br />
LSPM-North stars, we have followed a very simple<br />
process, namely, the proper motion comparison <strong>of</strong><br />
each <strong>of</strong> the stars listed in the database (see López<br />
2008 for preliminary results). This approach has<br />
proven to be very useful as it has allowed many authors<br />
to identify hundreds <strong>of</strong> new, previously unreported<br />
CPMP that are now included in the WDS. As<br />
an example, we can mention the searches performed<br />
by Greaves (2004, 2005), Caballero (2010), and Caballero<br />
et al. (2010). Another important search was<br />
that made by Halbwachs (1986) using the data <strong>of</strong> the<br />
AGK2/3. This search involved the development <strong>of</strong><br />
specific criteria to decide when a pair <strong>of</strong> stars could<br />
be referred to as a CPMP, which led to the identification<br />
<strong>of</strong> a number <strong>of</strong> new pairs.<br />
The first step in our Data Mining was to compile<br />
a preliminary list <strong>of</strong> CPMP, which was then crossidentified<br />
with the WDS we downloaded on July 27,<br />
2011. As we found that many <strong>of</strong> the pairs in our list<br />
were already included in the WDS, all the stars in
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 74<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
common were deleted. We also deleted from our preliminary<br />
list some very close pairs which could not be<br />
confirmed by using other astrometric and nonastrometric<br />
compilations (such as 2MASS). The components<br />
<strong>of</strong> many <strong>of</strong> these very close pairs, although<br />
listed as two individual stars with different LSPM<br />
numbers in the LSPM-North Catalog, are identified<br />
as a single star in most <strong>of</strong> the databases checked.<br />
These pairs have been set apart for later analysis.<br />
The next step in the process was to analyze which<br />
<strong>of</strong> the systems have real chances <strong>of</strong> being physical<br />
pairs and which ones should be regarded as optical<br />
systems. This problem has been addressed by Poveda<br />
et al. (1982), and Halbwachs (1986), among many others<br />
(see Benavides et al. 2010 for a summary <strong>of</strong> different<br />
methods). For our purposes, we adopted<br />
Halbwachs’ (1986). Finally, in order to double check<br />
the nature <strong>of</strong> the CPMP found, we relied on the tools<br />
provided by Aladin to superimpose POSS1 and<br />
POSS2 images, as well as on some <strong>of</strong> the databases<br />
currently being used in our study. Having followed all<br />
these steps, we completed the identification <strong>of</strong> the 96<br />
objects reported in this note.<br />
Our results are presented in Table 1. With the<br />
exception <strong>of</strong> the last two columns, the data have been<br />
directly taken from the LSPM-North Catalog. RA and<br />
Dec are in degrees and proper motions in seconds <strong>of</strong><br />
arc per year. Position angles and separations (epoch<br />
2000.0) were computed from the corresponding RA<br />
and Dec given.<br />
To our best knowledge, the CPMP herein reported<br />
are not included in the Washington <strong>Double</strong> <strong>Star</strong> Catalog<br />
(review made on September 28, 2011).<br />
Acknowledgements<br />
This research has made use <strong>of</strong> the Washington<br />
<strong>Double</strong> <strong>Star</strong> Catalog maintained at the U.S. Naval<br />
Observatory and the Aladin facilities.<br />
This publication makes use <strong>of</strong> data products from<br />
the Two Micron All Sky Survey, which is a joint project<br />
<strong>of</strong> the University <strong>of</strong> Massachusetts and the Infrared<br />
Processing and Analysis Center/California Institute<br />
<strong>of</strong> Technology, funded by the National Aeronautics<br />
and Space Administration and the National Science<br />
Foundation.<br />
References:<br />
Benavides, R., Rica, F., Reina, E., et al., 2010, <strong>JDSO</strong>,<br />
6, 30.<br />
Caballero, R., 2010, <strong>JDSO</strong>, 6, 160.<br />
Caballero, R., Collado-Iglesias, B., Pozuelo-González,<br />
S., et al., 2010, <strong>JDSO</strong>, 6, 206.<br />
Greaves, J., 2004, MNRAS 355, 585.<br />
Greaves, J., 2005, <strong>JDSO</strong>, 1, 41.<br />
Halbwachs, J. L., 1986, A&ASS 66, 131.<br />
Hambly, N., MacGillivray, H., Read, M., et al., 2001,<br />
MNRAS 326, 1279.<br />
Lepine, S, and Shara, M., 2005, AJ 129, 1483 (Online<br />
VizieR Catalogue I/298).<br />
López, C. E., 2008, RMxAA (Serie de Conferencias)<br />
34, 123.<br />
Monet D.G., Levine S.E., Casian B., et al., 2003, AJ,<br />
125, 984 (Online VizieR Catalogue I/284).<br />
Poveda, A., Allen, C., and Parrao, L., 1982, ApJ, 258,<br />
589.<br />
Zacharias, N., Finch C., Girard T., et al., 2010, AJ,<br />
139, 2184 (Online VizieR Catalogue I/315).<br />
Carlos E. López teaches an introductory course <strong>of</strong> astronomy for undergraduate<br />
students at the National University <strong>of</strong> San Juan, Argentina.<br />
Florencia Calandra, Martín Chalela, Cecilia López, Luis Pereyra, Emanuel<br />
Sillero and Matías Vera are astronomy undergraduate students at the<br />
Universidad Nacional de San Juan, Argentina.
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 75<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Table 1: Identification and Astrometric Data<br />
LSPM 2MASS RA Dec pmRA pmDec Ve PA Sep<br />
A 0008+1633 2.223711 16.565207 0.158 -0.119 20.07 325 13.8<br />
B 0008+1634 2.221412 16.568356 0.158 -0.119 20.47<br />
A 0111+4248 01115514+4248024 17.979815 42.800587 0.126 -0.170 11.23 215 115.1<br />
B 0111+4246 01114909+4246283 17.954638 42.774498 0.128 -0.182 15.00<br />
A 0122+2758 01221631+2758005 20.568094 27.966770 0.141 -0.081 19.17 108 5.0<br />
B 0122+2757 01221667+2757590 20.569574 27.966341 0.141 -0.081 19.30<br />
A 0201+0218 02011509+0218257 30.312868 2.307160 0.217 -0.033 17.44 151 63.8<br />
B 0201+0217 02011713+0217296 30.321337 2.291575 0.217 -0.033 18.87<br />
A 0316+0618 03165886+0618086 49.245281 6.302413 0.181 -0.122 19.50 210 75.9<br />
B 0316+0617 03165635+0617027 49.234798 6.284081 0.181 -0.122 19.74<br />
A 0323+1506 03232730+1506520 50.863747 15.114393 -0.061 -0.152 14.73 185 67.9<br />
B 0323+1505 03232686+1505444 50.861935 15.095627 -0.061 -0.152 16.13<br />
A 0329+7556 03292257+7556596 52.344208 75.949875 0.160 -0.129 17.37 302 36.9<br />
B 0329+7557 03291399+7557193 52.308468 75.955353 0.160 -0.129 19.79<br />
A 0331+0749 03312821+0749469 52.867573 7.829704 0.163 -0.039 12.42 355 17.2<br />
B 0331+0750 03312812+0750040 52.867180 7.834460 0.163 -0.039 18.72<br />
A 0339+5632 03391532+5632058 54.813854 56.534962 0.192 -0.058 15.20 166 24.3<br />
B 0339+5631 03391602+5631422 54.816757 56.528400 0.192 -0.058 19.46<br />
A 0433+0013 04331784+0013595 68.324326 0.233273 -0.060 -0.151 11.43 41 18.9<br />
B 0433+0014 04331867+0014140 68.327789 0.237227 -0.062 -0.149 16.85<br />
A 0449+4048 04493734+4048017 72.405609 40.800407 0.027 -0.213 14.02 205 6.5<br />
B 0449+4047 04493709+4047557 72.404587 40.798763 0.027 -0.213 15.04<br />
A 0509+1038 05094259+1038438 77.427460 10.645508 -0.036 -0.177 15.15 317 45.4<br />
B 0509+1039 05094048+1039170 77.418686 10.654724 -0.036 -0.177 18.99<br />
A 0524+0315 05244976+0315154 81.207329 3.254313 0.271 -0.127 10.71 246 48.2<br />
B 0524+0314 05244682+0314557 81.195084 3.248834 0.253 -0.120 14.94<br />
A 0535+0824 05351532+0824193 83.813843 8.405370 0.141 -0.067 11.14 349 140.0<br />
B 0535+0826 05351350+0826367 83.806290 8.443538 0.141 -0.062 17.20<br />
A 0546+1306 05461292+1306098 86.553902 13.102634 0.085 -0.146 12.03 170 34.2<br />
B 0546+1305 86.555527 13.093266 0.085 -0.146 18.32<br />
A 0546+1116 05461726+1116466 86.571915 11.279618 -0.124 -0.155 16.50 207 53.8<br />
B 0546+1115 05461559+1115587 86.564980 11.266311 -0.124 -0.155 18.21<br />
A 0550+0939 05501174+0939492 87.548943 9.663702 0.258 0.235 16.01 317 16.2<br />
B 0550+0940 05501099+0940011 87.545845 9.667006 0.258 0.235 17.75<br />
A 0551+5051 05515028+5051566 87.959549 50.865734 -0.127 -0.084 10.34 336 6.2<br />
B 0551+5052 05515002+5052022 87.958458 50.867302 -0.127 -0.084 99.90<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 76<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Table 1 (continued): Identification and Astrometric Data<br />
LSPM 2MASS RA Dec pmRA pmDec Ve PA Sep<br />
A 0610+2802 06102564+2802236 92.606796 28.039850 -0.100 -0.143 10.80 171 161.0<br />
B 0610+2759 06102756+2759447 92.614799 27.995678 -0.097 -0.144 13.53<br />
A 0610+4439 06104398+4439498 92.683350 44.663815 0.193 -0.143 16.73 39 142.0<br />
B 0610+4441 06105244+4441395 92.718620 44.694263 0.179 -0.140 17.93<br />
A 0625+1634 06253267+1634050 96.386032 16.567974 -0.203 -0.156 15.83 116 52.7<br />
B 0625+1633 96.399773 16.561554 -0.203 -0.156 18.23<br />
A 0628+2829 06282826+2829230 97.117722 28.489660 -0.115 -0.152 16.03 148 100.2<br />
B 0628+2827 06283227+2827578 97.134407 28.465990 -0.115 -0.152 17.59<br />
A 0649+2942 06495322+2942038 102.471741 29.701172 -0.028 0.189 14.13 182 34.2<br />
B 0649+2941 06495313+2941296 102.471397 29.691668 -0.028 0.189 16.08<br />
A 0653+3026 06531618+3026039 103.317375 30.434402 -0.132 -0.087 15.93 187 7.3<br />
B 0653+3025 06531611+3025567 103.317078 30.432396 -0.132 -0.087 16.29<br />
A 0705+4129 07053254+4129100 106.385712 41.486076 0.138 -0.094 14.05 135 87.2<br />
B 0705+4128 07053804+4128084 106.408615 41.468975 0.138 -0.094 14.47<br />
A 0720+3657 07203806+3657475 110.158623 36.963203 -0.015 -0.160 12.28 5 12.6<br />
B 0720+3658 07203816+3658000 110.159035 36.966675 -0.015 -0.160 15.44<br />
A 0727+4228 07275077+4228198 111.961609 42.472118 0.060 -0.155 16.33 173 32.1<br />
B 0727+4227 07275114+4227480 111.963135 42.463280 0.060 -0.155 18.17<br />
A 0749+2435 07495456+2435131 117.477325 24.586933 -0.014 -0.178 11.89 342 96.9<br />
B 0749+2436 07495237+2436454 117.468231 24.612555 -0.014 -0.178 15.26<br />
A 0750+0429 07505800+0429003 117.741684 4.483431 -0.165 -0.052 16.50 189 5.0<br />
B 0750+0428 07505795+0428553 117.741463 4.482053 -0.165 -0.052 99.90<br />
A 0802+1326 08022370+1326239 120.598778 13.439995 -0.102 -0.141 14.58 142 73.3<br />
B 0802+1325 08022677+1325259 120.611588 13.423889 -0.102 -0.141 19.54<br />
A 0802+2851 08024181+2851062 120.674217 28.851751 -0.135 -0.154 14.90 149 87.4<br />
B 0802+2849 08024523+2849513 120.688492 28.830944 -0.135 -0.154 20.50<br />
A 0802+0019 08025006+0019091 120.708595 0.319218 -0.119 -0.141 13.37 115 78.7<br />
B 0802+0018 08025481+0018359 120.728416 0.309999 -0.119 -0.141 16.83<br />
A 0813+1527 08133754+1527150 123.406326 15.454165 -0.152 -0.017 12.16 296 148.0<br />
B 0813+1528 08132832+1528193 123.367905 15.472042 -0.155 -0.017 18.44<br />
A 0822+1145 08223314+1145055 125.638107 11.751541 -0.205 -0.045 12.92 148 7.6<br />
B 0822+1144 08223341+1144590 125.639244 11.749749 -0.205 -0.045 99.90<br />
A 0840+6144 08400461+6144444 130.019257 61.745708 -0.075 -0.228 18.36 75 84.7<br />
B 0840+6145 08401613+6145065 130.067261 61.751823 -0.075 -0.228 19.07<br />
A 0855+3732 08555987+3732108 133.999359 37.536369 -0.174 0.038 14.30 125 80.2<br />
B 0856+3731 08560536+3731242 134.022247 37.523430 -0.174 0.038 17.04<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 77<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Table 1 (continued): Identification and Astrometric Data<br />
LSPM 2MASS RA Dec pmRA pmDec Ve PA Sep<br />
A 0900+0643 09005207+0643315 135.216965 6.725435 -0.154 0.053 13.91 199 44.7<br />
B 0900+0642 09005111+0642491 135.212997 6.713663 -0.154 0.053 16.71<br />
A 0902+0600 09025127+0600280 135.713638 6.007769 -0.149 0.111 9.80 16 105.6<br />
B 0902+0602 09025320+0602095 135.721680 6.035985 -0.144 0.107 14.71<br />
A 0906+7226 09065614+7226093 136.734039 72.435852 0.175 -0.465 16.03 74 24.5<br />
B 0907+7226 09070133+7226162 136.755661 72.437744 0.175 -0.465 17.93<br />
A 0929+0350 09290981+0350079 142.290894 3.835543 -0.119 -0.167 15.83 228 37.8<br />
B 0929+0349 09290794+0349424 142.283096 3.828474 -0.119 -0.167 16.13<br />
A 1100+0100 11005917+0100076 165.246567 1.002118 -0.320 -0.084 13.20 150 41.5<br />
B 1101+0059 11010055+0059316 165.252304 0.992129 -0.320 -0.084 19.25<br />
A 1102+2353 11020198+2353085 165.508163 23.885649 -0.157 -0.100 14.55 119 97.7<br />
B 1102+2352 11020821+2352211 165.534134 23.872486 -0.157 -0.100 16.95<br />
A 1118+6048 11182861+6048015 169.619308 60.800423 0.137 -0.058 17.78 184 23.8<br />
B 1118+6047 169.618286 60.793842 0.137 -0.058 20.42<br />
A 1135+3109 11351194+3109267 173.799683 31.157419 -0.161 -0.046 16.63 351 131.3<br />
B 1135+3111 11351029+3111363 173.792801 31.193417 -0.157 -0.042 18.28<br />
A 1147+1640 11471686+1640074 176.820114 16.668682 -0.294 -0.090 16.57 154 8.4<br />
B 1147+1639 11471712+1639599 176.821182 16.666594 -0.294 -0.090 16.63<br />
A 1148+0018 11485156+0018038 177.214844 0.301060 -0.176 -0.003 14.82 155 4.6<br />
B 1148+0017 11485169+0017596 177.215378 0.299896 -0.176 -0.003 99.90<br />
A 1149+4022 11493844+4022063 177.410156 40.368320 -0.077 -0.260 15.38 130 21.3<br />
B 1149+4021 177.416107 40.364502 -0.077 -0.260 21.71<br />
A 1206+1218 12060212+1218190 181.508850 12.305192 -0.006 -0.182 13.29 269 38.1<br />
B 1205+1218 12055952+1218187 181.498032 12.305099 -0.006 -0.182 16.57<br />
A 1209+2818 12094182+2818088 182.424179 28.302420 -0.168 -0.055 18.83 194 13.4<br />
B 1209+2817 12094158+2817557 182.423172 28.298798 -0.168 -0.055 19.36<br />
A 1223+0625 12234348+0625103 185.931183 6.419538 -0.183 -0.029 14.06 159 23.4<br />
B 1223+0624 12234403+0624483 185.933487 6.413444 -0.183 -0.029 18.52<br />
A 1233+0824 188.306030 8.401087 -0.172 0.132 18.46 147 111.0<br />
B 1233+0822 188.322800 8.375109 -0.172 0.132 19.34<br />
A 1235+4402 12355441+4402497 188.976837 44.047047 0.188 -0.266 13.00 299 36.9<br />
B 1235+4403 188.964417 44.052071 0.188 -0.266 19.60<br />
A 1236+1457 12361340+1457171 189.055771 14.954708 -0.159 -0.118 16.20 14 80.5<br />
B 1236+1458 12361476+1458352 189.061432 14.976391 -0.159 -0.118 18.25<br />
A 1300+7548 13000780+7548217 195.032379 75.806023 -0.212 -0.022 12.42 188 25.4<br />
B 1300+7547 13000680+7547565 195.028183 75.799042 -0.212 -0.022 20.59<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 78<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Table 1 (continued): Identification and Astrometric Data<br />
LSPM 2MASS RA Dec pmRA pmDec Ve PA Sep<br />
A 1310+3252 13102143+3252584 197.589218 32.882919 -0.173 0.011 14.55 360 66.5<br />
B 1310+3254 13102143+3254049 197.589188 32.901382 -0.173 0.011 17.40<br />
A 1311+1106 13114181+1106247 197.924225 11.106891 -0.111 -0.130 12.89 253 146.8<br />
B 1311+1105 13113230+1105406 197.884598 11.094645 -0.115 -0.122 17.83<br />
A 1324+4619 201.216278 46.332203 0.065 -0.156 18.82 304 8.2<br />
B 1324+4620 201.213547 46.333462 0.065 -0.156 19.88<br />
A 1352+2806 13520228+2806488 208.009491 28.113567 -0.188 0.054 14.53 1 11.4<br />
B 1352+2807 13520229+2807001 208.009537 28.116730 -0.188 0.054 14.62<br />
A 1358+3842 13584494+3842328 209.687134 38.709114 -0.201 -0.021 14.50 348 39.8<br />
B 1358+3843 13584423+3843117 209.684204 38.719929 -0.201 -0.021 18.17<br />
A 1359+0632 13590955+0632003 209.789810 6.533382 -0.143 0.114 9.95 254 5.6<br />
B 1359+0631 13590918+0631586 209.788300 6.532964 -0.140 0.112 99.90<br />
A 1424+1804 14243602+1804140 216.150085 18.070560 -0.149 -0.070 16.48 225 33.3<br />
B 1424+1803 14243437+1803503 216.143234 18.063992 -0.149 -0.070 18.53<br />
A 1433+5101 14335998+5101076 218.499924 51.018799 0.094 -0.120 16.33 263 71.6<br />
B 1433+5100 218.468552 51.016392 0.094 -0.120 19.59<br />
A 1504+1422 15043948+1422115 226.164474 14.369870 -0.259 -0.003 13.37 231 26.4<br />
B 1504+1421 15043807+1421549 226.158569 14.365274 -0.259 -0.003 20.70<br />
A 1516+6054 15164985+6054374 229.207733 60.910431 0.048 -0.440 13.25 178 92.1<br />
B 1516+6053 15165035+6053054 229.209808 60.884872 0.048 -0.440 20.03<br />
A 1623+2438 16233762+2438152 245.906784 24.637602 -0.098 -0.145 10.54 169 135.3<br />
B 1623+2436 245.914368 24.600647 -0.103 -0.150 19.57<br />
A 1646+0347 16462350+0347583 251.597961 3.799562 -0.172 -0.067 15.39 340 11.7<br />
B 1646+0348 16462324+0348093 251.596848 3.802606 -0.172 -0.067 19.06<br />
A 1709+1730 17090307+1730569 257.262756 17.515816 -0.154 0.006 16.20 358 5.0<br />
B 1709+1731 17090305+1731019 257.262695 17.517214 -0.154 0.006 99.90<br />
A 1712+0132 17124318+0132044 258.179993 1.534555 -0.152 0.023 13.59 145 22.4<br />
B 1712+0131 17124404+0131460 258.183533 1.529444 -0.152 0.023 15.42<br />
A 1729+0746 17295145+0746570 262.464386 7.782518 -0.022 -0.171 12.07 306 6.9<br />
B 1729+0747 17295107+0747010 262.462830 7.783637 -0.022 -0.171 99.90<br />
A 1734+4858 17343968+4858049 263.665314 48.968109 -0.054 0.155 14.38 145 55.4<br />
B 1734+4857 17344290+4857195 263.678741 48.955494 -0.054 0.155 14.43<br />
A 1738+3939 17380857+3939154 264.535706 39.654312 -0.055 0.150 16.66 157 21.2<br />
B 1738+3938 17380927+3938558 264.538635 39.648884 -0.055 0.150 19.94<br />
A 1823+0403 18231983+0403164 275.832642 4.054560 -0.170 0.009 16.52 9 79.0<br />
B 1823+0404 18232070+0404343 275.836243 4.076203 -0.170 0.009 17.57<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 79<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Table 1 (continued): Identification and Astrometric Data<br />
LSPM 2MASS RA Dec pmRA pmDec Ve PA Sep<br />
A 1823+2022 18235962+2022487 275.998413 20.380228 -0.166 -0.078 18.13 51 87.7<br />
B 1824+2023 18240446+2023441 276.018585 20.395603 -0.166 -0.078 18.73<br />
A 1847+4629 18473898+4629083 281.912445 46.485729 -0.012 0.166 15.56 187 15.1<br />
B 1847+4628 281.911713 46.481560 -0.012 0.166 20.45<br />
A 1932+1723 19325604+1723567 293.233582 17.399023 0.172 -0.198 15.20 160 150.6<br />
B 1932+1721 19325969+1721355 293.248779 17.359795 0.165 -0.210 18.18<br />
A 1933+6526 19330164+6526519 293.256775 65.447746 -0.156 -0.103 18.48 233 17.5<br />
B 1932+6526 19325939+6526414 293.247406 65.444839 -0.156 -0.103 18.58<br />
A 2059+4224 20594623+4224537 314.942627 42.414928 0.169 0.024 15.25 347 38.2<br />
B 2059+4225 20594548+4225310 314.939484 42.425278 0.169 0.024 19.95<br />
A 2106+5924 21061829+5924018 316.576233 59.400482 -0.110 -0.119 10.91 332 120.3<br />
B 2106+5925 21061099+5925483 316.545776 59.430096 -0.108 -0.115 16.19<br />
A 2131+4700 21310438+4700581 322.768341 47.016220 0.209 0.255 12.66 346 9.2<br />
B 2131+4701 21310416+4701071 322.767456 47.018715 0.209 0.255 99.90<br />
A 2133+5001 21330337+5001032 323.264099 50.017563 -0.168 -0.037 12.83 326 66.2<br />
B 2132+5001 21325948+5001577 323.247894 50.032719 -0.168 -0.037 17.47<br />
A 2146+1550 21463230+1550389 326.634827 15.844217 0.309 0.116 16.16 324 154.9<br />
B 2146+1552 21462606+1552449 326.608826 15.879240 0.304 0.121 16.56<br />
A 2203+4358 22033629+4358592 330.901184 43.983105 0.145 0.050 15.33 86 13.3<br />
B 2203+4359 22033752+4359000 330.906311 43.983345 0.145 0.050 19.20<br />
A 2211+1819 22114389+1819141 332.932892 18.320580 -0.068 -0.135 13.58 171 17.3<br />
B 2211+1818 22114408+1818570 332.933685 18.315830 -0.068 -0.135 15.00<br />
A 2217+4242 22172686+4242141 334.362030 42.703918 0.188 -0.017 14.56 173 19.8<br />
B 2217+4241 334.362915 42.698444 0.188 -0.017 19.96<br />
A 2222+2309 22223361+2309496 335.640106 23.163803 -0.167 -0.122 13.55 204 119.0<br />
B 2222+2308 22223008+2308010 335.625397 23.133631 -0.182 -0.111 16.50<br />
A 2248+2723 22481493+2723024 342.062347 27.383993 0.171 -0.017 14.90 115 6.6<br />
B 2248+2722 22481537+2722596 342.064209 27.383219 0.171 -0.017 99.90<br />
A 2255+3325 22550566+3325060 343.773682 33.418304 0.153 -0.073 16.23 204 9.9<br />
B 2255+3324 343.772369 33.415791 0.153 -0.073 99.90<br />
A 2256+5919 22561349+5919087 344.056244 59.319046 0.124 0.107 11.50 352 152.8<br />
B 2256+5921 22561075+5921399 344.044769 59.361080 0.125 0.113 18.20<br />
A 2312+2701 23124700+2701045 348.195831 27.017931 0.169 -0.024 11.61 109 53.5<br />
B 2312+2700 23125076+2700468 348.211578 27.013012 0.161 -0.025 19.30<br />
A 2326+1952 23261725+1952155 351.571899 19.870993 -0.134 -0.104 18.62 181 31.9<br />
B 2326+1951 23261721+1951436 351.571777 19.862135 -0.134 -0.104 20.56<br />
Table concludes on next page.
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Page 80<br />
Common Proper Motion Pairs in the LSPM-North Catalog<br />
Table 1 (conclusion): Identification and Astrometric Data<br />
LSPM 2MASS RA Dec pmRA pmDec Ve PA Sep<br />
A 2330+3330 23305581+3330582 352.732513 33.516159 -0.125 -0.090 13.73 359 41.4<br />
B 2330+3331 352.732269 33.527664 -0.125 -0.090 99.90<br />
A 2335+6750 23353800+6750016 353.908508 67.833778 0.139 0.063 10.56 331 133.9<br />
B 2335+6751 23352650+6751585 353.860474 67.866264 0.141 0.060 17.89<br />
A 2337+2127 23374838+2127412 354.451599 21.461403 -0.023 -0.213 17.93 1 19.6<br />
B 2337+2128 354.451752 21.466843 -0.023 -0.213 19.92<br />
A 2343+1345 23431810+1345430 355.825378 13.761855 -0.029 -0.170 17.38 119 160.1<br />
B 2343+1344 23432774+1344263 355.865570 13.740560 -0.027 -0.170 17.93<br />
A 2349+1108 23491766+1108514 357.323578 11.147657 0.084 -0.154 14.50 46 17.0<br />
B 2349+1109 23491849+1109032 357.327026 11.150946 0.084 -0.154 18.89<br />
A 2352+4625 23521505+4625520 358.062805 46.431141 0.165 0.033 16.98 347 56.4<br />
B 2352+4626 23521383+4626470 358.057739 46.446415 0.165 0.033 17.58
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 81<br />
Measures and Relative Motions <strong>of</strong> Some Mostly<br />
F. G. W. Struve <strong>Double</strong>s<br />
E. O. Wiley<br />
Remote Astronomical Society Observatory<br />
Mayhill, NM<br />
Mailing address: 2503 Atchison Ave.<br />
Lawrence KS 66047<br />
edwiley@sunflower.com<br />
Abstract: Measures <strong>of</strong> 59 pairs <strong>of</strong> double stars with long observational histories using<br />
“lucky imaging” techniques are reported. Relative motions <strong>of</strong> 59 pairs are investigated using<br />
histories <strong>of</strong> observation, scatter plots <strong>of</strong> relative motion, ordinary least-squares (OLS) and<br />
total proper motion analyses performed in “R,” an open source programming language. A<br />
scatter plot <strong>of</strong> the coefficient <strong>of</strong> determinations derived from the OLS y|epoch and OLS<br />
x|epoch clearly separates common proper motion pairs from optical pairs and what are<br />
termed “long-period binary candidates.” Differences in proper motion separate optical pairs<br />
from long-term binary candidates. An Appendix is provided that details how to use known<br />
rectilinear pairs as calibration pairs for the program REDUC.<br />
Introduction<br />
In Wiley (2010) I presented a protocol for estimating<br />
rectilinear elements <strong>of</strong> optical doubles and<br />
commented on the use <strong>of</strong> ordinary least-squares<br />
(OLS) analysis for exploring the nature <strong>of</strong> common<br />
proper motion and binary pairs. In this paper I expand<br />
on that investigation by measuring and analyzing<br />
a number <strong>of</strong> mainly F. G. W. Struve (STF) doubles<br />
where one or both <strong>of</strong> the pairs have a measurable<br />
proper motion, defined as a proper motion that<br />
exceeds errors. The exercise is largely an inductive<br />
data-exploration exercise to see if there are some<br />
relatively simple and approachable analyses available<br />
to amateur researchers that would separate optical<br />
pairs from physical pairs. Fifty-four<br />
“knowns” (proper motions reported for both stars)<br />
were selected from the WDS catalog. I included four<br />
“unknowns” (proper motion high in one star but unknown<br />
in the other) to see if the techniques developed<br />
during this inductive exercise would successfully<br />
discriminate them. To add value to the exercise<br />
I picked my “knowns” in the WDS from pairs with no<br />
indication in the WDS Notes column that they have<br />
been characterized as optical or physical.<br />
Methods<br />
Many <strong>of</strong> the pairs measured herein have separations<br />
<strong>of</strong> 3” - 6” and this necessitated using a form <strong>of</strong><br />
“lucky imaging” with a Takahashi Mewlon 0.3 meter<br />
telescope at the GRAS observatories in Mayhill, New<br />
Mexico. I typically took 20 - 50 short exposures (0.25<br />
- 1 second) and picked only those where there was a<br />
clear separation between the pairs.<br />
Theta and rho were measured using REDUC<br />
(Losse, 2010 et seq.) which has a distinct advantage<br />
when working with short exposures as one does not<br />
have to reduce the plate. In some cases individual<br />
images were eliminated due to poor quality<br />
(“unlucky” images) and in other cases images were<br />
stacked to improve signal-to-noise ratio (see Table 1).<br />
REDUC requires at least one calibration pair to determine<br />
camera orientation and plate scale. I used<br />
two relatively wide optical pairs with excellent rectilinear<br />
elements (02157+6740 ENG 10 and<br />
23280+2335 STTA246AB). A protocol for reducing
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Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
rectilinear elements to theta and rho for a given date<br />
for a calibration pair is detailed in Appendix A.<br />
Astrophysical data were gathered using Aladin in<br />
conjunction with various catalogs. Proper motions<br />
were taken from the Washington <strong>Double</strong> <strong>Star</strong> Catalog<br />
(Mason et al., 2001-2011) and checked against the<br />
Tycho 2 (I/259; Hog et al., 2000), Hipparchos (I/239;<br />
ESA, 1995), the All-sky Compiled (I/280B; Kharchenko<br />
and Roeser, 2009) and PPMXL catalogs (I/317;<br />
Roeser et al. 2010) available at the CDS (Bonnarel et<br />
al., 2000).<br />
The histories <strong>of</strong> measures for each pair were requested<br />
from the U. S. Naval Observatory (Mason,<br />
2006). Since this is a pro<strong>of</strong>-<strong>of</strong>-concept paper, most<br />
STF pairs were chosen based on pairs with moderate<br />
to large proper motions where each pair was had either<br />
(1) similar proper motions (≤ 10 mas/year difference<br />
in both RA and Dec) and presumed to be physically<br />
associated or (2) dissimilar proper motions (≥ 11<br />
mas/year difference in RA and Dec) presumed to be<br />
optical pairs. Four pairs were included that had one<br />
but not both members with proper motion data<br />
greater than 25 mas/year; these act as unknowns.<br />
Specific steps in the analysis are listed below.<br />
1. Convert theta and rho measures to Cartesian<br />
(x,y) coordinates in an Excel ® spread sheet (see Wiley,<br />
2010).<br />
2. Using the plotting functions in Excel ® , examine<br />
the relative motions in Cartesian space. Examination<br />
is facilitated by using the line function to connect observations<br />
by epoch <strong>of</strong> observation and a rough idea <strong>of</strong><br />
the relationship between x- and y-values can be investigated<br />
by line fitting using the trend line function.<br />
(The trend line function can return an OLS solution,<br />
but more formal analyses should be performed.) Of<br />
particular interest are indications <strong>of</strong> no relative motion<br />
(relative position <strong>of</strong> the secondary clustered<br />
around one position), linear motion (relative motion<br />
follows a straight line, forming a time series <strong>of</strong> historically<br />
ordered measures) and curvilinear motion<br />
(some indication <strong>of</strong> orbital motion). An OLS y|x solution<br />
was calculated for each pair using the “lm” functions<br />
<strong>of</strong> the R programming language (Ihaka and<br />
Gentleman, 1996). This “lm” function is simply a call<br />
to R to perform linear regression on the variables. I<br />
note, based on comments by Dr. Richard Branham<br />
(pers. comm.), that Total Least Squares (TLS) may be<br />
the more appropriate technique since both x- and y-<br />
values are subject to errors (e.g. Branham, 2001). I<br />
plan to explore TLS techniques in future studies as a<br />
TLS package is available in R.<br />
3. Perform two ordinary least squares (OLS)<br />
analyses, again using “R,” on each pair using epoch <strong>of</strong><br />
observation as the independent variable and x- and y-<br />
values as dependent variables. Test the null hypothesis<br />
that slopes <strong>of</strong> each analysis are statistically no<br />
different than zero (flat slope) and harvest the coefficients<br />
<strong>of</strong> variation (R 2 ) from each analysis. Such<br />
analyses can also be performed using the more formal<br />
“Regression” function in the Excel ® data analysis tool<br />
pack. Since epoch <strong>of</strong> observation can be taken as<br />
“without error,” OLS, rather than TLS, is the appropriate<br />
regression analysis in these cases.<br />
4. In Excel ® , visualize relationship between the<br />
coefficients <strong>of</strong> determination <strong>of</strong> each analysis performed<br />
in 3 above, with R 2 <strong>of</strong> the OLS x|epoch as the<br />
x-axis and the R 2 <strong>of</strong> the OLS y|epoch as the y-axis <strong>of</strong><br />
a scatter plot.<br />
5. The average relative motion in arc seconds per<br />
year along the x-axis and y-axis is the slope function<br />
<strong>of</strong> the regression equations derived from the OLS<br />
x|epoch and OLS y|Epoch unless there are obvious<br />
changes in velocity signaled by concave relative motion.<br />
For example, the equations for the optical pair<br />
00546+3910STF 72 (rounded for simplicity) are:<br />
X = 0.02225Epoch – 41.96<br />
Y = -0.00677Epoch + 38.82<br />
The motions are 0.0223 ± 0.001 arcsecond/year<br />
along the x-axis and -0.007 ± 0.001 arcseconds/year<br />
along the y-axis. Using the Pythagorean formula, calculate<br />
the average total relative motion. This yields<br />
total motion in arc seconds. For example,<br />
00546+3910STF 72:<br />
2 2<br />
RM = a + b<br />
RM<br />
tot<br />
tot<br />
( )<br />
2 2<br />
= 0.02225 + ( − 0.0067) = 0.02324 a.s./yr<br />
6. Convert the total motion to average motion/<br />
year in milliseconds (mas/year) by multiplying by<br />
1000 to make the value comparable to those in the<br />
WDS, which is in mas/year.<br />
0.02324 a.s./yr * 1000 = 23.24 mas/year<br />
7. To check this calculation against catalog proper
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Page 83<br />
Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
motion values, calculate average relative motion using<br />
catalog motions in right ascension and declination<br />
<strong>of</strong> x- and y-values for the pair and use the distance<br />
formula to determine total relative motion.<br />
From WDS, Primary: pm RA = -020 mas/year p,<br />
Dec = -020 mas/year<br />
From WDS, Secondary: pm RA -001 mas/year p,<br />
Dec = 014 mas/year<br />
2 2<br />
relative motion = ( −20 −( − 1)) + ( −20 −( −14))<br />
= 19.92 mas/yr<br />
In this particular case, relative motions as shown<br />
by analysis <strong>of</strong> theta and rho in Cartesian space agree<br />
fairly well with published catalog values. Large differences<br />
would indicate that either the relative motion<br />
values or the catalog values are not accurate (or<br />
both).<br />
8. Compute the ratio <strong>of</strong> relative motion to the total<br />
motion <strong>of</strong> the primary. To compute total motion <strong>of</strong><br />
the primate use the Pythagorean formula and the<br />
pmRA and pmDec <strong>of</strong> the primary For example,<br />
00502+1150STF 63AB. pmRA = +43 mas/yr, pm Dec<br />
= -54 mas/yr (WDS):<br />
PM<br />
tot<br />
2 2<br />
= a + b<br />
2 2<br />
PM tot = ( + 43) + ( − 54) = 69.03 mas/yr<br />
Ratio = RMtot / PMtot = (1.5612 mas/yr) / (69.03 mas/yr) = 2.262<br />
A system may exhibit a small relative motion<br />
simply because both components have small proper<br />
motions, so caution is in order when interpreting the<br />
result.<br />
Results<br />
Measures for 59 pairs are reported in Table 1,<br />
including measures for the calibration pair<br />
02152+6740ENG 10. Table 2 shows the results <strong>of</strong><br />
three rounds <strong>of</strong> OLS analysis (OLS y|x, OLS x|epoch<br />
and OLS y|epoch). These results are reported as a<br />
single value, the coefficient <strong>of</strong> determination (R 2 ) annotated<br />
by the probability that the slope <strong>of</strong> the regression<br />
model is statistically different from zero is indicated<br />
by a series <strong>of</strong> asterisks associated with the probability<br />
<strong>of</strong> rejecting a true null hypothesis that the<br />
slope is zero (* = 0.5; ** = 0.01, *** = 0.001 or less).<br />
Additionally the slopes <strong>of</strong> each model (XA, YA expressed<br />
in milliarcseconds/year <strong>of</strong> movement) and<br />
various calculations <strong>of</strong> relative motion (RM, the calculated<br />
relative motion; CatRM, relative motion from<br />
published catalog proper motions) and the ratio <strong>of</strong><br />
relative motion to total motion <strong>of</strong> the primary (RM/<br />
PM) are presented. Figure 1 visualizes the relationship<br />
between R 2 -values <strong>of</strong> OLS x|epoch and OLS<br />
y|epoch. Figures 2-6 are visualizations <strong>of</strong> relative<br />
motion geometries and further discussed below. Three<br />
pairs (02581+6912STF 317, 03085-0335BU 528AB<br />
and 03143+2257BU 530BC) were analyzed for relative<br />
motion (Table 2) but I was unable to obtain a satisfactory<br />
series <strong>of</strong> images to report a measure in Table<br />
1 One pair reported in Table 1 (03085-0335Fox<br />
9034CD) had insufficient measures (N = 3) to analyze<br />
and does not appear in Table 2.<br />
Discussion<br />
The methods discussed here are applicable to<br />
pairs with a long history <strong>of</strong> observation. The distance<br />
measure employed herein assumes that motion is linear<br />
or close to linear. A few <strong>of</strong> the pairs suspected <strong>of</strong><br />
being long period binaries showed some indications <strong>of</strong><br />
concave motion, but the second-order polynomial fit<br />
was insignificant and is not reported. (A second-order<br />
polynomial would not indicate Keplerian motion, but<br />
might indicate changes in velocity.) Since no pair analyzed<br />
here had a significant second-order polynomial<br />
fit, linear motion estimates seem reasonable. However,<br />
if a significant second-order polynomial fit is<br />
obtained in future analyses, the integral calculus<br />
should be employed to check for changes in velocity.<br />
The results seem to discriminate three classes <strong>of</strong><br />
double stars. The three classes are distinguished by a<br />
combination <strong>of</strong> characteristics.<br />
1. Common proper motion pairs separate from the<br />
other two classes in (a) showing no significant<br />
changes in theta and rho over their histories <strong>of</strong> observation,<br />
grouping on the bottom left <strong>of</strong> the OLS analysis<br />
<strong>of</strong> the R 2 -values derived from OLS x|epoch and<br />
OLS y|epoch analyses (blue dots, Fig. 1) and generally<br />
scoring low on the OLS y|x analysis (Table 2); (b)<br />
show no correlation between the epoch <strong>of</strong> observation<br />
and relative position in Cartesian space, (c) have low<br />
average relative motions on the order <strong>of</strong> three (3)<br />
mas/year (Table 2), and (4) have ratios <strong>of</strong> relative motion<br />
to primary total motion <strong>of</strong>
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Figure 1. Scatter plot <strong>of</strong> coefficients <strong>of</strong> determination (R 2 -<br />
values) derived from OLS x|Epoch (x-axis) against OLS y|Epoch<br />
(y-axis). Blue circles are pairs classified here as common<br />
proper motion pairs (CPM). Red circles are pairs classified as<br />
candidate long period binaries (LPBC), green triangles are pairs<br />
classified as optical pairs (Optical). STF 326AB, a LPBC, is discussed<br />
in the text.<br />
Figure 2. Left: Relative motion <strong>of</strong> 00089+3713STF 1, an example<br />
<strong>of</strong> a pair with a history <strong>of</strong> tightly clustered history <strong>of</strong><br />
measures showing no significant relative motion between primary<br />
and secondary.<br />
Figure 3. Left: Relative motion <strong>of</strong> 01035+5019 STF 83. An<br />
example <strong>of</strong> a pair identified as optical.<br />
Figure 4. Relative motion <strong>of</strong> 00502+1150 STF 63AB; typical <strong>of</strong><br />
an optical pair whose relative motion is along the x-axis, resulting<br />
in a low coefficient <strong>of</strong> determination (R 2 ).
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Figure 5. WDS 00444+3332STF 54. Although the observations<br />
form a time series correlated with epoch <strong>of</strong> observation and<br />
the relative motion high, as expected for an optical pair, variance<br />
<strong>of</strong> individual measures as visualized in this OLS y|x<br />
analysis result in a relatively low coefficient <strong>of</strong> determination.<br />
Dotted lines connect the observations by epoch <strong>of</strong> observation.<br />
Figure 6. Relative motion <strong>of</strong> 02581+6912STF 317. Concave<br />
motion (albeit not statistically significant) suggests that this<br />
pair is binary. The relative motion <strong>of</strong> this pair is about 5 mas/<br />
yr, a value slightly higher than the average <strong>of</strong> common proper<br />
motion pairs. Both stars have the same parallax values. Dotted<br />
lines connect the observations by epoch <strong>of</strong> observation.<br />
(Continued from page 83)<br />
rectilinear (Hartkopf et al., 2008 et seq.), have OLS<br />
y|x analysis that are tightly correlated with motion<br />
relative to the x and/or y axis, as evidenced by the<br />
scatter <strong>of</strong> green triangles on the right side <strong>of</strong> Figure 1.<br />
They show a correlation between epoch <strong>of</strong> observation<br />
and position in Cartesian space, forming a rectilinear<br />
time series. They always have at least one highly significant<br />
score in either the OLS y|epoch or x|epoch<br />
analysis (Table 2), but may (Fig. 3) or may not (Fig. 4)<br />
yield a significant model for OLS y|x. The reason for<br />
the difference is simple, if rectilinear movement is<br />
along the x-axis, then OLSy|x analysis cannot yield a<br />
significant model since x-values cannot predict y-<br />
values. Relative motions also serve to discriminate<br />
the optical pairs in this study; their relative motions<br />
average about78 mas/year with a range <strong>of</strong> 20.88 -<br />
156.92 mas/year; a range that does not overlap the<br />
range <strong>of</strong> average relative motion <strong>of</strong> CPM pairs. I note<br />
that the scatter in Figure 1 optical pairs may also be<br />
caused to simple measurement variation; a pair with<br />
highly “noisy” measures will yield R 2 -values that are<br />
lower than less noisy pairs with the same slope (see<br />
Figure 5 and note the slope is similar to Figure 3 but<br />
the coefficient <strong>of</strong> determination is low). Optical pairs,<br />
have ratios <strong>of</strong> relative motion to total motion > 0.4<br />
and usually greater than 1.0 (average = 1.125± 0.539).<br />
3. The third class is what may be long period binary<br />
candidate pairs. Their scatter plots and OLS<br />
analyses place them above the CPM pairs (relative<br />
motion follows the y-axis) or scattered among the optical<br />
pairs in Figure 1 where they are plotted as red<br />
dots. They are similar to optical pairs in forming a<br />
time series. However, their relative motion average<br />
motions are more similar to the common proper motions<br />
pairs. These long-period binary candidates have<br />
relative motions that average 6.16 mas/year, with a<br />
range <strong>of</strong> 1.83 - 8.42 mas/year (excluding STF 326AB,<br />
discussed below). The pair 02581+6912STF 317<br />
(Figure 6) is an example; it has one <strong>of</strong> the higher relative<br />
motions (7.08 mas/year) and evidence <strong>of</strong> a slightly<br />
concave relative motion. Finally, they have ratios <strong>of</strong><br />
total primary total proper motion to relative motion<br />
comparable (albeit a bit higher) to common proper<br />
motion pairs (average 0.083±0.051). Components <strong>of</strong><br />
five <strong>of</strong> these pairs, including STF 317, have similar<br />
parallax values (Table 2).<br />
The exception to the generalizations presented<br />
above is the pair 02556+2652STF 326AB. This pair is<br />
comprised <strong>of</strong> two very high proper motion stars with<br />
an average relative motion <strong>of</strong> 17.46 mas/yr (placing<br />
the system within the optical pairs) but a ratio <strong>of</strong> primary<br />
proper motion to relative motion <strong>of</strong> 0.075<br />
(placing the system within the long-term binary candidate<br />
pool). This pair has both a rectilinear solution<br />
(Continued on page 90)
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Table 1. Measures reported in this study. WDS and Disc. Code from the Washington <strong>Double</strong> Stat Catalog;<br />
Epoch; epoch <strong>of</strong> observation; RA, angle <strong>of</strong> theta in degrees; SEP, separation <strong>of</strong> the pair in arcseconds;<br />
PAsd, standard deviation <strong>of</strong> the angle measures; SEPsd, standard deviation <strong>of</strong> the separation measures; N,<br />
number <strong>of</strong> images from which measures were taken on a single night <strong>of</strong> observation: a single number indicates<br />
that all images taken were used, a fractional number denoted the number <strong>of</strong> “lucky” images used<br />
out <strong>of</strong> the total indicated by the denominator. In a few cases images were stacked: 1s/24 denoted a single<br />
stack <strong>of</strong> 24 images while 4s/10 indicates that four stacks were compiled from a total <strong>of</strong> 40 images, 10<br />
images at a time. Notes, in footnotes.<br />
WDS Disc. Code Epoch PA SEP PAsd SEPsd N Notes<br />
00089+3713 STF 1 2009.84 287.4 9.73 0.18 0.026 3/5 1, 2<br />
00099+0827 STF 4 2009.84 276.1 5.2 0.73 0.061 13/40 1, 2<br />
00100+4623 STF 3 2009.84 80.44 5.07 0.84 0.082 5/22 1, 2<br />
00148+6250 STF 10AB 2009.85 175.66 17.64 0.16 0.063 8/10 1, 2<br />
00152+7801 STF 11 2010.00 191.84 7.97 0.32 0.094 8/27 1, 2<br />
00174+1631 STF 20 2009.84 233.44 11.884 0.37 0.092 10 1, 2<br />
00214+6700 STF 26AB-C 2010.00 114.4 13.329 0.67 0.119 4 1, 2<br />
00316-0202 STF 35 2010.00 265.7 8.43 0.68 0.401 5 1, 2<br />
00324+0657 STF 36AB 2010.00 82.19 27.133 0.63 0.148 5 1, 2<br />
00324+0657 STF 36AC 2010.00 227.38 167.241 0.07 0.222 5 1, 2<br />
00345-0433 STF 39AB-C 2010.00 44.4 16.63 0.91 0.106 5 1, 2<br />
00345-0433 ALL 1AB-D 2010.00 158.85 202.963 0.04 0.167 5 1, 2<br />
00399+2126 STF 46 2010.00 196.8 6.215 0.31 0.03 13 1, 2<br />
00403+2403 STF 47AB 2010.00 205.45 16.41 0.65 0.186 5 1, 2<br />
00403+2403 BU 1348AC 2010.00 233.06 46.414 0.25 0.124 5 1, 2<br />
00426+7122 STF 48AB 2010.009 332.31 5.51 0.395 0.036 4s/10 1, 2<br />
00426+7122 BAZ 1BC 2010.009 318.93 65.75 0.165 0.061 5s/10 1, 2<br />
00444+3332 STF 54 2010.009 188.58 18.524 0.3 0.104 9 1, 2<br />
00453+1019 STF 58 2010.009 169.47 46.458 0.2 0.115 10 1, 2<br />
00474+7239 STF 57 2010.009 197.67 6.197 0.69 0.11 9 1, 2<br />
00502+1150 STF 63AB 2010.00 248.88 32.417 0.84 0.668 5 1, 2<br />
00502+1150 BU 1351BC 2010.00 318.05 117.898 0.21 0.439 5 1, 2<br />
00503+3548 STF 62 2010.009 302.88 11.789 0.21 0.08 9 1, 2<br />
00538+5242 STF 70AB 2010.009 246.43 7.999 0.2 0.051 20 1, 2<br />
00538+5242 STF 70AC 2010.009 152.94 74.025 0.1 0.119 20 1, 2<br />
00546+3910 STF 72 2010.001 173.23 23.39 0.33 0.173 5 1, 2<br />
01001-0201 STF 81 2010.001 67.24 18.106 0 0 1 1, 2<br />
01035+5019 STF 83 2010.001 312.38 28.949 0.61 0.252 5 1, 2<br />
02157+6740 ENG 10 2010.001 328.27 23.228 0.57 0.154 10 1, 2<br />
Table 1 concludes on next page.
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Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
Table 1 (conclusion). Measures reported in this study. WDS and Disc. Code from the Washington <strong>Double</strong><br />
Stat Catalog; Epoch; epoch <strong>of</strong> observation; RA, angle <strong>of</strong> theta in degrees; SEP, separation <strong>of</strong> the pair in<br />
arcseconds; PAsd, standard deviation <strong>of</strong> the angle measures; SEPsd, standard deviation <strong>of</strong> the separation<br />
measures; N, number <strong>of</strong> images from which measures were taken on a single night <strong>of</strong> observation: a single<br />
number indicates that all images taken were used, a fractional number denoted the number <strong>of</strong> “lucky”<br />
images used out <strong>of</strong> the total indicated by the denominator. In a few cases images were stacked: 1s/24<br />
denoted a single stack <strong>of</strong> 24 images while 4s/10 indicates that four stacks were compiled from a total <strong>of</strong><br />
40 images, 10 images at a time. Notes, in footnotes.<br />
WDS Disc. Code Epoch PA SEP PAsd SEPsd N Notes<br />
02216+2338 STF 254 2010.001 14.73 11.904 0.57 0.225 9 1, 2<br />
02521+3718 STF 316 2010.009 134.67 14.464 0.44 0.083 10 1, 2<br />
02556+2652 STF 326 2010.009 221.35 4.798 0.59 0.058 4 1, 2<br />
02558+3429 STF 325AB 2010.009 147.34 22.337 0.34 0.09 5 1, 2<br />
03018+1051 STF 338 2010.009 201.3 19.848 0.37 0.11 10 1, 2<br />
03030-0205 STF 341 2010.009 221 8.741 0.79 0.069 10 1, 2<br />
03066+2038 STF 350 2010.009 118.76 16.502 0.31 0.087 10 1, 2<br />
03067-1319 STF 356 2010.009 13.41 15.316 0.55 0.114 5 1, 2<br />
03083-1236 STF 357 2010.009 294.98 8.679 0.88 0.156 10 1, 2<br />
03085-0335 BU 528AC 2010.009 100.64 51.242 0.178 0.192 10 1, 2<br />
03085-0335 FOX9023CD 2010.009 155.09 17.444 0.47 0.128 10 1, 2<br />
03088-0341 STF 358 2010.009 349.28 15.252 0.39 0.183 10 1, 2<br />
03108+6347 STF 349 2010.009 321.4 5.925 0.99 0.141 18 1, 2<br />
03143+2257 STF 366AB 2010.009 34.33 41.807 0.1 0.039 10 1, 2<br />
03203+1944 STF 376 2010.009 250.83 7.14 0.31 0.037 10 1, 2<br />
03221+6244 STF 373AB 2010.009 118.07 20.323 0.21 0.08 10 1, 2<br />
03221+6244 STTA 33AC 2010.001 111.73 115.547 0.08 0.104 10 1, 2<br />
03221+6244 STU 1AD 2010.009 167.53 179.16 0.04 0.158 8 1, 2<br />
03229+2949 STF 379 2010.009 101.25 10.468 0.75 0.108 10 1, 2<br />
03242+1733 STF 383 2010.041 119.91 5.466 0.3 0.147 7 1, 2<br />
03263-0102 STF 393 2010.041 257.29 15.521 0.7 0.163 10 1, 2<br />
03305+2006 STF 399AB 2010.041 146 19.974 0.31 0.137 10 1, 2<br />
03313+2734 STF 401 2010.041 269.33 11.506 0.62 0.079 18 1, 2<br />
05100-0704 STF 651 2010.001 27.94 46.238 0.39 0.296 5 1, 2<br />
22120+3739 STF2876 2009.85 66.85 11.874 0.36 0.034 5 1, 2<br />
22542+2801 STF2952AB 2009.85 137.8 17.463 0.32 0.05 5 1, 2<br />
22542+2801 STF2952AC 2009.85 244.48 165.28 0.04 0.083 5 1, 2<br />
22567+7830 STF2971 2009.85 3.86 5.44 0 0 1s/24 1, 2<br />
23092-0719 STF2980 2009.85 107.12 4.585 0 0 1s/10 1, 2<br />
23519+3753 STF3042 2009.85 86.41 5.642 0.61 0.088 6 1, 2<br />
Table 1 Notes<br />
1. 0.3 M Dall-Kirkham Cassegrain, f11.5, SBIG ST8E NABG, with resolution <strong>of</strong> 0.68 arc seconds/pixel.<br />
2. 02157+6740 ENG 10 and 23280+2335 STTA246AB used for calibration, measure <strong>of</strong> 02157+6740<br />
ENG 10 is control using plate scale and orientation determined from 23280+2335 STTA246AB.
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Table 2. Results <strong>of</strong> OLS and relative motion studies <strong>of</strong> 59 pairs <strong>of</strong> doubles stars. WDS, Washington <strong>Double</strong><br />
<strong>Star</strong> catalog designation; Disc. Code, discovery code; DF, degrees <strong>of</strong> freedom <strong>of</strong> OLS analyses (N-1 observations);<br />
next three columns, Rsq, coefficient <strong>of</strong> determination <strong>of</strong> OLSy|x, x|epoch, and y|epoch analyses;<br />
Asterisk values denote rejection <strong>of</strong> the null hypothesis in each model that the slope is zero at 0.05 (*),<br />
0.01 (**) and 0.001 (***) probability; Time, time period between first and last observation used in relative<br />
motion calculations; XA*1000, slope <strong>of</strong> the x|Epoch regression model expressed in miliarcseconds/year<br />
(mas/yr); YA*1000, slope <strong>of</strong> the y|Epoch regression model expressed in mas.yr; rel-mas/yr, average relative<br />
linear motion over the Time duration as calculated from relative motion <strong>of</strong> primary and secondary; cat<br />
-mas/yr, relative linear motion as calculated from proper motion values in various catalogs; Status, classification<br />
<strong>of</strong> pairs as common proper motion pairs (CMP), long-period binary candidates (LPBC) or optical<br />
WDS Disc. Code DF<br />
y|x<br />
Rsq<br />
x|epoch<br />
R-sq<br />
y|epoch<br />
R-sq<br />
Time XA*1000 YA*1000 RM Cat RM PM RM/PM Status note<br />
00089+3713 STF 1 27 0.035 0.002474 0.010 181.004 -0.3211 0.3713 0.49 4.24 19.72 0.025 CPM<br />
00148+6250 STF 10AB 34 0.144* 0.2115** 0.061 177.79 2.9718 -2.396 3.82 4.47 27.01 0.141 CPM<br />
00152+7801 STF 11 20 0.179* 0.06261 0.066 178.15 -0.576 1.1823 1.32 0.00 23.09 0.057 CPM<br />
00174+1631 STF 20 32 0.020 0.08112 0.2096** 184.104 -1.2223 -2.1522 2.48 1.41 43.01 0.058 CPM<br />
00214+6700 STF 26AB-C 32 0.007 0.02493 0.022 163.26 0.8886 -0.5545 1.05 0.00 25 0.042 CPM<br />
00316-0202 STF 35 27 0.000 0.002344 0.090 179.84 0.5586 1.945 2.02 0.00 28.18 0.072 CPM<br />
00324+0657 STF 36AB 62 0.043 0.01002 0.0613* 188.4 -0.9232 1.4854 1.75 6.08 32.35 0.054 CPM<br />
00345-0433 STF 39AB-C 50 0.035 0.1266** 0.09345* 179.76 -2.6623 -2.786 3.85 8.06 85.15 0.045 CPM<br />
00399+2126 STF 46 98 0.052* 0.1021** 0.032 178.79 -1.3031 0.9495 1.61 5.10 38.42 0.042 CPM<br />
00403+2403 STF 47AB 53 0.362*** 0.02073 0.07942* 177.56 -0.8644 1.65 1.86 2.24 43.42 0.043 CPM<br />
00474+7239 STF 57 7 0.310 0.003132 0.06856** 278.18 -0.1993 1.477 1.49 NA 134.41 0.011 CPM<br />
00503+3548 STF 62 27 0.079 0.2002* 0.105 177.57 -2.563 -1.1876 2.82 3.60 32.02 0.088 CPM<br />
00538+5242 STF 70AB 25 0.007 0.0533 0.018 178.16 -1.0817 -1.091 1.54 4.24 81.61 0.019 CPM<br />
02521+3718 STF 316 33 0.113* 0.1081 0.029 179.99 2.082 0.7789 2.22 8.00 40.5 0.055 CPM<br />
03018+1051 STF 338 33 0.001 0.02004 0.2051** 180.08 -0.6417 -4.517 4.56 0.00 50.45 0.090 CPM<br />
03066+2038 STF 350 17 0.424** 0.04788 0.179 179.04 -0.804 -3.762 3.85 5.10 52.43 0.073 CPM<br />
03083-1236 STF 357 19 0.236* 0.2734* 0.067 176.96 -2.3136 -0.9583 2.50 2.24 81.69 0.031 CPM<br />
03088-0341 STF 358 12 0.717*** 0.09373 0.064 177.04 -2.846 -6.969 7.53 11.40 50.33 0.150 CPM<br />
03143+2257 BU 530BC 24 0.131 0.0676 0.073 127.95 0.716 1.149 1.35 NA 28.79 0.047 CPM<br />
03203+1944 STF 376 50 0.012 0.1228* 0.1172* 227.03 -2.867 1.5159 3.24 7.21 21.4 0.152 CPM<br />
03221+6244 STF 373AB 15 0.003 0.106 0.000 134.34 2.074 -0.06942 2.08 17.09 45 0.046 CPM 1<br />
03229+2949 STF 379 84 0.084* 0.028 0.030 179.17 0.4 1.6 1.65 4.01 40.31 0.041 CPM<br />
03242+1733 STF 383 28 0.431*** 0.02579 0.130 179.49 -1.111 -2.028 2.31 6.08 58.82 0.039 CPM<br />
03313+2734 STF 401 94 0.011 0.02146 0.1413*** 179.08 -0.8212 1.4884 1.70 7.00 50 0.034 CPM<br />
22120+3739 STF2876 27 0.079 0.05133 0.064 180.4 -1.0499 -1.0068 1.45 10.44 53.24 0.027 CPM 1<br />
22567+7830 STF2971AB 52 0.261*** 0.1268 0.4799** 176.96 -3.484 3.522 4.95 1.00 134.85 0.037 CPM<br />
23092-0719 STF2980 22 0.152 0.1689* 0.006 178.76 2.414 0.1984 2.42 18.29 65 0.037 CPM 1<br />
00099+0827 STF 3 65 0.333*** 0.2136*** 0.4958*** 187.59 1.6113 -1.6324 2.29 32.31 56.09 0.041 LPBC 1<br />
00100+4623 STF 4 76 0.106** 0.03484 0.474*** 179.14 -1.1819 -2.0475 2.36 1.41 14.04 0.168 LPBC<br />
Table 2 concludes on next page.
Vol. 8 No. 2 April 1, 2012<br />
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Page 89<br />
Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
WDS<br />
Table 2 (conclusion). Results <strong>of</strong> OLS and relative motion studies <strong>of</strong> 59 pairs <strong>of</strong> doubles stars. WDS, Washington<br />
<strong>Double</strong> <strong>Star</strong> catalog designation; Disc. Code, discovery code; DF, degrees <strong>of</strong> freedom <strong>of</strong> OLS analyses<br />
(N-1 observations); next three columns, Rsq, coefficient <strong>of</strong> determination <strong>of</strong> OLSy|x, x|epoch, and<br />
y|epoch analyses; Asterisk values denote rejection <strong>of</strong> the null hypothesis in each model that the slope is<br />
zero at 0.05 (*), 0.01 (**) and 0.001 (***) probability; Time, time period between first and last observation<br />
used in relative motion calculations; XA*1000, slope <strong>of</strong> the x|Epoch regression model expressed in miliarcseconds/year<br />
(mas/yr); YA*1000, slope <strong>of</strong> the y|Epoch regression model expressed in mas.yr; relmas/yr,<br />
average relative linear motion over the Time duration as calculated from relative motion <strong>of</strong> primary<br />
and secondary; cat-mas/yr, relative linear motion as calculated from proper motion values in various<br />
catalogs; Status, classification <strong>of</strong> pairs as common proper motion pairs (CMP), long-period binary candidates<br />
(LPBC) or optical pairs (Optical)<br />
Disc. Code DF<br />
y|x<br />
Rsq<br />
x|epoch<br />
R-sq<br />
y|epoch<br />
R-sq<br />
Time XA*1000 YA*1000 RM Cat RM PM RM/PM Status note<br />
01001-0201 STF 81 9 0.291 0.6927** 0.468* 118.12 3.3471 -2.99 4.49 6.40 89.04 0.050 LPBC<br />
02556+2652 STF 326AB 73 0.944*** 0.9176*** 0.9645*** 178.55 13.62 -21.031 25.06 17.46 330.6 0.076 LPBC 2,3<br />
02581+6912 STF 317 18 0.709*** 0.6533** 0.8202*** 169.11 4.6231 -2.6147 5.31 5.00 132.25 0.040 LPBC 2<br />
03030-0205 STF 341 22 0.137 0.5711*** 0.6514***<br />
178.58 4.256 5.6188 7.05 17.26 111.2 0.063 LPBC 1<br />
0.04842**<br />
03067-1319 STF 356 18 0.056<br />
0.508*** 178.09 -0.6025 3.019 3.08 6.08 82.08 0.038 LPBC<br />
*<br />
03085-0335 BU 528AB 36 0.884*** 0.7881*** 0.8204*** 117.95 2.2586 -5.3782 5.83 NA 34.21 0.171 LPBC<br />
03263-0102 STF 393 14 0.140 0.582*** 0.001 182.54 5.15 0.2468 5.16 3.16 33.01 0.156 LPBC 2<br />
03305+2006 STF 399AB 14 0.672*** 0.4316** 0.7677*** 130.36 6.12 -5.408 8.17 4.12 173.35 0.047 LPBC 2<br />
22542+2801 STF2952AB 11 0.140 0.1268 0.4799** 130.234 -3.484 3.522 4.95 2.00 75.29 0.066 LPBC 2<br />
23519+3753 STF3042 165 0.313*** 0.7148*** 0.3135*** 186.09 7.7456 -1.6534 7.92 NA 102.54 0.077 LPBC<br />
00324+0657 STF 36AC 12 0.010 0.9182*** 0.010 116.16 -40.051 1.798 40.09 41.98 32.35 1.239 Optical<br />
00345-0433 ALL 1AB-D 3 0.347 0.9973*** 0.332 77.99 -94.829 9.232 95.28 85.15 85.15 1.119 Optical<br />
00403+2403 BU 1348AC 17 0.036 0.9269** 0.121 177.59 -39.371 3.126 39.49 45.54 43.42 0.910 Optical<br />
00426+7122 STF 48AB 59 0.112** 0.05274 0.013 181.02 -62.58 0.428 62.58 40.80 43.9 1.426 Optical 1<br />
00426+7122 BAZ 1BC 3 0.612 0.9212** 0.344 78.31 -114.9 -38.2 121.08 86.05 66.19 1.829 Optical 1<br />
00444+3332 STF 54 18 0.32** 0.781*** 0.523*** 179.71 11.963 5.906 13.34 14.87 10.63 1.255 Optical<br />
00453+1019 STF 58 11 0.74*** 0.8046*** .6472*** 112.12 20.401 9.846 22.65 24.52 18.38 1.232 Optical<br />
00502+1150 BU 1351BC 8 0.901*** 0.9953*** 0.9247*** 110.31 101.5 -16.671 102.86 58.60 130.18 0.790 Optical 1<br />
00502+1150 STF 63AB 37 0.12* 0.9979*** 0.1229* 177.6 -156.081 3.308 156.12 152.05 69.03 2.262 Optical<br />
00538+5242 STF 70AC 9 0.612** 0.9634*** 0.6888** 106.06 -87.488 -16.819 89.09 95.13 81.61 1.092 Optical<br />
00546+3910 STF 72 24 0.695*** 0.9503*** 0.6565*** 178.24 22.251 -6.7017 23.24 19.92 28.28 0.822 Optical<br />
01035+5019 STF 83 8 0.986*** 0.9334*** 0.8771*** 182 -63.73 -56.949 85.47 70.76 116.4 0.734 Optical 1<br />
02216+2338 STF 254 49 0.372*** 0.9759*** 0.4392** 178.26 46.492 4.636 46.72 50.24 23.54 1.985 Optical<br />
02558+3429 STF 325AB 45 0.987*** 0.9973*** 0.9862*** 179.03 130.3 88.76 157.66 158.93 12.6 12.513 Optical<br />
03085-0335 BU 528AC 3 0.629 0.788* 0.9564** 113.94 5.128 23.908 24.45 22.20 34.21 0.715 Optical<br />
03143+2257 STF 366AB 23 0.712*** 0.9852*** 0.6653*** 132.11 -69.362 13.661 70.69 72.27 60.67 1.165 Optical<br />
03221+6244 STTA 33AC 14 0.020 0.8319*** 0.095 134.34 -17.305 -6.203 18.38 16.64 45 0.409 Optical<br />
03221+6244 STU 1AD 5 0.431*** 0.9687*** 0.9556*** 109.1`1 -31.011 -44.512 54.25 46.23 45 1.206 Optical 1<br />
05100-0704 STF 651 55 0.912*** 0.9139*** 0.9837*** 180.33 56.706 -232.996 239.80 242.79 247.39 0.969 Optical<br />
22542+2801 STF2952AC 15 0.112 0.7074*** 0.4384** 55.19 80.42 -24.661 84.12 103.81 75.29 1.117 Optical<br />
Table 2 Notes<br />
1. Average relative motions differ by more than 9 mas/yr.<br />
2. Both components have similar parallax measures. This is only reported for these pairs, other pairs<br />
may have similar or different parallax measures.<br />
3. See text for discussion <strong>of</strong> this pair
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Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
(Continued from page 85)<br />
and a proposed orbital solution (note “C” in the WDS).<br />
In fact, all <strong>of</strong> the long-term binary candidates will<br />
have rectilinear solutions given that their relative<br />
motions are not significantly different from a rectilinear<br />
motion solution. Is STF 236AB optical or binary<br />
Kharchenko and Roeser (2009: CDS catalog I/280B)<br />
list three trigometric parallax measures for this system,<br />
one composite (based on reported magnitude and<br />
position) with high error and proper motions that appears<br />
suspect (parallax -63.09 ± 49.9, pmRA 520.84<br />
mas/yr, pmDec -48.79 mas/yr) and two matching the<br />
pair in proper motion and magnitude that yield<br />
trigometric parallax measures <strong>of</strong> 43.7 ± 1.25 mas (A<br />
component) and 43.9 ± 1.25 mas (B component), suggesting<br />
that this pair is physically associated and belongs<br />
to the LPBC category.<br />
I have chosen to classify a number <strong>of</strong> pairs as long<br />
period binary candidates to bring them to the attention<br />
<strong>of</strong> the community. At least some <strong>of</strong> these pairs<br />
seem to be physically associated, as evidence by similar<br />
parallax measures. However, none <strong>of</strong> these data<br />
definitively corroborates these pairs as binary. It is<br />
quite possible that even those at similar distances are<br />
simply common proper motion pairs that are diverging<br />
or converging. They may even be optical pairs<br />
that just happen to be in the same area with similar<br />
proper motions. Only a longer history <strong>of</strong> observations<br />
will reveal their nature, but identifying them as possible<br />
binaries may encourage continued observation<br />
and measurement.<br />
The contrast between relative motions determined<br />
from studying theta and rho and those taken<br />
from catalogs is instructive. For example, 00538+5242<br />
STF 70AB has a simple change <strong>of</strong> sign in the WDS<br />
that makes relationship appear to be optical, but the<br />
actual data in the WDS individual record is correct.<br />
The catalog values for 004240.01+712157.3 STF48AB<br />
are at variance with those values obtained through<br />
relative motion and the same is true for a number <strong>of</strong><br />
the pairs included in this study (10 in total, see Table<br />
2).<br />
Conclusions<br />
Relative motion studies are well within the capabilities<br />
<strong>of</strong> amateur researchers who have access to a<br />
program that can calculate OLS models. Although I<br />
used R-language programming, the regression functions<br />
in data analysis package <strong>of</strong> Excel® return similar<br />
models and are probably more than adequate for<br />
this level <strong>of</strong> analysis. The nature <strong>of</strong> long-period binaries<br />
cannot be resolved until their motions are shown<br />
conform to Keplerian motion, but these methods may<br />
help resolve the nature <strong>of</strong> some double stars, given a<br />
long history <strong>of</strong> observation and sufficiently high<br />
proper motions, and may help mark pairs for additional<br />
measures in the future. They also seem useful<br />
for checking catalog proper motion values.<br />
Acknowledgements<br />
This research has made use <strong>of</strong> the Washington<br />
<strong>Double</strong> <strong>Star</strong> Catalog and the Catalog <strong>of</strong> Rectilinear<br />
Elements maintained at the U.S. Naval Observatory.<br />
Various resources <strong>of</strong> the CDS, Strasbourg, France<br />
(Bonnarel et al., 2000), were used in this study including<br />
Aladin, POSS and 2MASS images, and the<br />
Tycho-2 (Hog et al., 2000), Hipparchos (ESA, 1997),<br />
All-sky compiled catalogue (Kharchenko and Roeser,<br />
2009) and PPMXL (Roeser et al., 2010) catalogs. My<br />
thanks to Dr. Brian Mason (USNO) for fulfilling numerous<br />
data requests. Dr. Bill Hartkopf (USNO) answered<br />
numerous questions with good humor. Florent<br />
Losse (REDUC, http://www.astrosurf.com/hfosaf/<br />
index.htm), Dr. R. Kent Clark (University <strong>of</strong> South<br />
Alabama) and Dr. Richard Branham (Regional Center<br />
for Scientific and Technological Research, Mendoza,<br />
Argentina) reviewed earlier versions <strong>of</strong> the study and<br />
I thank them for their valuable comments. My thanks<br />
to Frank Smith (Jaffrey, NH) who provided valuable<br />
and extensive comments on version 2 <strong>of</strong> the manuscript.<br />
An anonymous reviewer provided a valuable<br />
formal review; my thanks. Thanks to Arnie Rosner<br />
and Brad Moore, Global Rent-A-Scope, (http://<br />
wiki.global-rent-a-scope.com/) for their support <strong>of</strong> research<br />
to the Remote Astronomical Society Observatory<br />
and to Mike and Lynne Rice <strong>of</strong> New Mexico Skies<br />
(http://www.nmskies.com/) for ground support for the<br />
observatory. Special thanks to Dr. Christian Sasse for<br />
allowing me time on his telescope to perform the<br />
“lucky imaging” that made this research possible.<br />
References<br />
Bonnarel, F., Fernique, P., Bienayme, O., Egret., D.<br />
Genova., F., Louys, M., Ochsenbein, F., Wenger,<br />
M., & Bartlett, J. G., 2000, Astron. Astrophys.,<br />
Suppl. Ser. 143, 33-40.<br />
Branham, R. L. 2001. Astronomical data reduction<br />
with total least squares. New Astronomy Reviews,<br />
45, 649–661.<br />
Hartkopf, W. I., Mason, B. D., Wyc<strong>of</strong>f, G. L. & Kang,<br />
D. 2008 et seq., Catalog <strong>of</strong> Rectilinear Elements.
Vol. 8 No. 2 April 1, 2012<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
Page 91<br />
Measures and Relative Motions <strong>of</strong> Some Mostly F. G. W. Struve <strong>Double</strong>s<br />
U. S. Naval Observatory, Washington, D. C., online.<br />
Hog E., Fabricius C., Makarov V.V., Urban S., Corbin<br />
T., Wyc<strong>of</strong>f G., Bastian U., Schwekendiek P.,<br />
Wicenec A. 2000. Astron. Astrophys. 355, L27.<br />
Ihaka, R., Gentleman, R. (1996). "R: A Language for<br />
Data Analysis and Graphics". <strong>Journal</strong> <strong>of</strong> Computational<br />
and Graphical Statistics 5 (3), 299–314.<br />
Kharchenko, N. V. and S. Roeser. 2009. I/280B, Allsky<br />
complied catalogue <strong>of</strong> 2.5 million stars, (ASCC<br />
-2.5, 3rd edition). VizieR on-line data.<br />
Losse, F. 2010 et seq. REDUC. http://<br />
www.astrosurf.com/hfosaf/index.htm<br />
Mason, B. D., 2006, <strong>JDSO</strong>, 2(1), 21-35.<br />
Mason B.D., Wyc<strong>of</strong>f G.L., Hartkopf W.I., Douglass<br />
G.G., Worley C.E. 2010. Wasington <strong>Double</strong> <strong>Star</strong><br />
Catalog. Astron. J., 122, 3466 (2001-2010)<br />
Roeser S., Demleitner M., Schilbach E. 2010. Astron.<br />
J., 139, 2440.<br />
Wiley, E. O. 2010. <strong>JDSO</strong>, 6(3), 217-224.<br />
APPENDIX A – Using Optical Pairs to<br />
Derive Orientation and Scale in REDUC<br />
REDUC uses two values to reduce theta and rho<br />
for a double star, the orientation <strong>of</strong> the camera relative<br />
to the optical train and the scale <strong>of</strong> the image.<br />
These are determined by inputting into the program<br />
an image <strong>of</strong> known theta and rho, from which RE-<br />
DUC calculates the parameters. Amateurs using CCD<br />
measures may not have a convenient WDS calibration<br />
pair, but there are numerous “high-value” pairs in the<br />
Catalog <strong>of</strong> Rectilinear Elements that can serve this<br />
purpose and which are separated enough that relative<br />
long exposures can insure adequate determination <strong>of</strong><br />
the centroids. I simply search for pairs with low errors<br />
for all elements and separations <strong>of</strong> at least 10<br />
seconds <strong>of</strong> arc. The angle and separation for the pair<br />
on any given data can be determined by first computing<br />
the x,y positions in Cartesian space and then converting<br />
these to the angle and distance (with due regard<br />
to quadrant). It is a simple matter to check the<br />
result against the published ephemeris values to<br />
check against gross error. The formulae for x and y<br />
are given in the catalog:<br />
x = xa<br />
( t− t0)<br />
+ x0<br />
y = ya<br />
( t − t0)<br />
+ y0<br />
Where t 0 is the time <strong>of</strong> closest approach, t is the date<br />
<strong>of</strong> observation, x 0 and y 0 are the positions at time t 0 in<br />
the Cartesian system, and x a and y a are the slope and<br />
the normal. For the pair 21144+2905 STF2779AB, the<br />
calculations proceed as shown for the observation<br />
date 2009.844.<br />
x = 0.37006*(2009.844-2011.018) + 7.60913<br />
= 3.8651<br />
y = -0.022599*(2009.844-2011.018) + 12.459682<br />
= 14.7451<br />
tangent (first quadrant) = y/x = 3.8149<br />
Angle (first quadrant) = 75.3112°<br />
Theta 2009.844 = 165.31º (90°+75.31°)<br />
Rho 2009.844 = 15.244 seconds <strong>of</strong> arc<br />
The trick is determining the correct quadrant, but<br />
this can be easily determined from the Ephemeris <strong>of</strong><br />
the WDS Rectilinear catalog and each angle will have<br />
to be determined separately. This compared very favorably<br />
with the WDS Ephemeris values for 2010 <strong>of</strong><br />
165.3º and 15.242 second <strong>of</strong> arc. As an additional<br />
check, one can calculate the ephemeris <strong>of</strong> a second<br />
pair, image and measure that pair using the Delta<br />
(orientation) and E-values (scale) derived from the<br />
first standard pair, as reported for 02157+6740ENG<br />
10 in Table 1. I do this routinely as it is relatively<br />
simple to find another pair using the information in<br />
the catalog.
Vol. 8 No. 2 April 1, 2012<br />
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Page 92<br />
Observation Report for the Year 2009,<br />
Humacao University Observatory<br />
R. J. Muller, J.C. Cersosimo, D. Centeno, L. Rivera-Rivera, E. Franco, V. Maldonado,<br />
M. De Jesus, R.A. Rodriguez, A.J. Sosa, M. Rosario, M. Diaz<br />
Humacao University Observatory<br />
Department <strong>of</strong> Physics and Electronics<br />
The University <strong>of</strong> Puerto Rico at Humacao<br />
Call Box 860, Humacao, Puerto Rico 00792<br />
E-mail: rjmullerporrata@gmail.com<br />
Abstract: We report measurements <strong>of</strong> position angle and separation <strong>of</strong> 120 binary stars<br />
observed during the year 2009. We obtained the data using the 31 inch NURO Telescope<br />
at the Anderson Mesa location <strong>of</strong> Lowell Observatory near Flagstaff, Arizona, in May and<br />
September. We gathered the data using the 2K x 2K CCD camera - NASACAM - at the<br />
prime focus <strong>of</strong> the telescope. The data was analyzed at the Humacao University Observatory.<br />
Introduction<br />
We imaged 120 binary systems at the prime focus<br />
<strong>of</strong> the 31 inch NURO telescope in the year 2009.<br />
The observation sessions took place on May 28, 29<br />
and 30; a second session took place on September 19,<br />
20 and 21, for a total <strong>of</strong> six nights at the NURO telescope.<br />
Clouds forced the partial cancelation <strong>of</strong> one<br />
night in May. Two students traveled to observe and<br />
obtain data in May. Three traveled in September.<br />
We used the NASACAM CCD, a 2048 X 2048 array,<br />
thermoelectrically cooled below -100 Celsius, with a<br />
field <strong>of</strong> view <strong>of</strong> approximately 16 arc minutes by 16 arc<br />
minutes.<br />
Procedure<br />
All images needed for calibration and the images<br />
<strong>of</strong> the binaries where obtained and sent to the<br />
Humacao University Observatory for analysis. Undergraduates<br />
pursuing research projects at the observatory<br />
calibrated and examined the images to<br />
make sure that our targets where present on the<br />
CCD images. Doubtful images where discarded. The<br />
students used the pixelization <strong>of</strong> the calibrated images<br />
as a tool for the measurement <strong>of</strong> separation; the<br />
position angle was measured directly. Many <strong>of</strong> the<br />
CCD images where also examined using the s<strong>of</strong>tware<br />
that is included with the Handbook <strong>of</strong> Astronomical<br />
Image Processing for Windows, 2 nd Edition, by Richard<br />
Berry and James Burnell, Willman-Bell Inc, Virginia<br />
(http://www.willbell.com) 2006. The Handbook<br />
includes the CD AIP for Windows (II). There is a feature<br />
in the CD that, with some care, will give accurate<br />
values for separation and position angle directly<br />
from the CCD image. Since there is a reducer on the<br />
optical path to the CCD, the images we acquire are<br />
mirror reversed with respect to the program's position<br />
angle routine, so one must have lots <strong>of</strong> care<br />
when one is measuring position angle with the program.<br />
The s<strong>of</strong>tware does not provide for entering the<br />
plate scale <strong>of</strong> the optical system, so the final number<br />
crunching must be done by hand.<br />
There is a systematic error in position angle that<br />
occurs when the CCD camera is inserted into the<br />
telescope, or the CCD is not “leveled” when the telescope<br />
is pointing at the north pole. This error can be<br />
corrected by using well known binary systems and<br />
binary systems that “don’t move”. Binary systems
Vol. 8 No. 2 April 1, 2012<br />
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Page 93<br />
Observation Report for the Year 2009, Humacao University Observatory<br />
that “don’t move” can be found in the neglected section<br />
<strong>of</strong> the Washington <strong>Double</strong> <strong>Star</strong> catalog, as binary<br />
stars that have been measured for the last 100 years<br />
and show no change in position angle. We correct for<br />
this uncertainty by using a mix <strong>of</strong> images <strong>of</strong> well<br />
known binaries and <strong>of</strong> those that “don’t move”. We<br />
corrected the position angle <strong>of</strong> binaries submitted in<br />
this article for this effect by using about 30 <strong>of</strong> them to<br />
calculate the systematic error we call the CCD <strong>of</strong>fset.<br />
The table that follows includes 120 entries, all <strong>of</strong><br />
them for 2009. It follows the standard <strong>JDSO</strong> format<br />
and ordering.<br />
Acknowledgements<br />
This research has made extensive use <strong>of</strong> the<br />
Washington <strong>Double</strong> <strong>Star</strong> Catalog, maintained at the<br />
U.S. Naval Observatory, and <strong>of</strong> the NURO telescope,<br />
property <strong>of</strong> the Lowell Observatory. We would like to<br />
acknowledge support from the Puerto Rico Space-<br />
Grant Consortium and the L.S.AMP <strong>of</strong> the University<br />
<strong>of</strong> Puerto Rico. We also thank Ed Anderson <strong>of</strong> the<br />
NURO consortium and the University <strong>of</strong> Northern<br />
Arizona for his efforts on behalf <strong>of</strong> our students.<br />
UPRH UPRH<br />
Name RA DEC Mags<br />
Date<br />
ρ<br />
θ<br />
HJ 154 12 02 49.71 +28 41 15.3 10.0 11.0 21.2 89.66 0.402<br />
GRV 849 12 02 53.16 +23 45 50.8 11.7 12.0 28 230.66 0.402<br />
STI 738 12 03 17.7 +59 24 05 12.24 13.1 6.9 44.66 0.402<br />
STF1594AC 12 03 28.5 +41 24 15 10.09 11.1 11 145.66 0.402<br />
BAL1450 12 03 11.85 +00 43 48.8 11.51 12.4 22.7 208.66 0.402<br />
POU3120 12 04 05.7 +23 11 41 11.09 13.1 14.5 195.66 0.402<br />
BU 458 12 04 17.11 -21 02 21.0 7.87 9.97 29.9 233.16 0.402<br />
KZA 26 12 05 07.7 +43 22 47.4 10.5 10.5 17 108.16 0.402<br />
HJ 4496 12 06 12.76 -18 53 27.9 10.05 10.98 12.2 29.66 0.402<br />
HJ 519 12 30 26.33 +36 07 44.7 10.32 10.35 18.1 188.66 0.402<br />
ES 726AC 12 30 49.2 +53 51 27 10.48 13.6 20 180.66 0.402<br />
STF1650 12 31 32.99 +24 37 13.1 9.54 10.47 16.5 179.16 0.402<br />
LDS4224 12 32 13.2 +31 47 19 14.5 15.4 10.85 311.66 0.402<br />
HJ 211 12 32 21.1 -01 53 33 11.86 12.3 11 278.66 0.402<br />
LDS3049 12 32 26 +30 50 24 14.22 14.63 18.59 122.16 0.402<br />
LDS4225 12 32 28.75 +28 54 12.4 13.3 15.3 16.7 203.66 0.402<br />
LDS3051 12 33 19. +52 27 00 15.9 17.1 15.5 358.66 0.402<br />
POU3152 13 49 38.9 +23 28 15 12.25 12.30 13.6 2.66 0.402<br />
HJ 542 14 12 18 +36 46 12.0 12.0 12.4 66.66 0.402<br />
POU3162 14 13 24 +24 24 12.02 13.8 6.8 346.66 0.402<br />
κ Bootis<br />
STF 1821<br />
May 2009 measurements.<br />
14 13 29 +51 47 4.53 6.62 13.3 231.66 0.402<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
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Page 94<br />
Observation Report for the Year 2009, Humacao University Observatory<br />
May 2009 measurements (continued).<br />
Name RA DEC Mags<br />
ι Bootis<br />
STFA 26AB<br />
14 16 10 +51 22 4.76 7.39 38.9 35.16 0.402<br />
ES 1085 14 16 30 +46 33 8.71 11.7 5.7 177.66 0.402<br />
LDS4521 15 00 47.5 +23 06 26 16.3 17.3 25.7 340.16 0.402<br />
STF1901 15 00 57.70 +31 22 38.2 8.71 10.55 19.1 186.16 0.402<br />
HJ 1266 15 01 08.0 +04 15 17. 10.77 12.1 13.1 25.66 0.402<br />
LDS4543 15 20 41 +26 38 12.6 18.3 54 234.66 0.402<br />
KZA 80 15 20.7 42 +31 33 12.41 12.9 25.1 57.66 0.402<br />
KZA 90 15 27 24 +31 02 12.5 13.0 19.1 298.16 0.402<br />
POU3193 15 35 18 +24 08 13.2 13.7 7.6 299.16 0.402<br />
STF1999AB 16 04 25 -11 26 57 7.52 8.05 12 99.66 0.402<br />
HJ 582 16 07 06 +35 07 11.11 13.61 22 232.66 0.402<br />
ALI 370 16 07 24 +35 48 12.06 12.5 12.4 144.66 0.402<br />
POU3214 16 07 48 +23 06 11.1 13.3 12.4 87.66 0.402<br />
STF2010AB 16 08 04.5 +17 02 49 5.10 6.21 25.9 12.66 0.402<br />
STF2032AB 16 14 40.85 +33 51 31 5.62 6.49 4.5 243.66 0.402<br />
KZA 120 16 53 22.06 +46 01 30.9 10.5 10.5 11.1 81.66 0.402<br />
BAL2429 16 54 51.2 +03 18 41 11.77 12.8 12 49.16 0.402<br />
SLE 76 17 00 18 +33 12 12.07 12.8 8.36 18.66 0.402<br />
STF2123 17 06 57.50 +06 48 03 9.82 9.98 18.2 218.66 0.402<br />
STF2127 17 07 04.42 +31 05 35.1 8.70 12.30 14 280.66 0.402<br />
SLE 9 17 07 06.29 +20 29 21.7 10.49 11.94 20.1 173.91 0.402<br />
ARA1121 17 07 06.2 -20 14 44 11.8 12.4 7.6 216.66 0.402<br />
SLE 110 18 07 14.5 +27 16 04 10.56 13.3 10.8 117.16 0.402<br />
STI2369 18 07 29.23 +55 14 31 12.3 12.6 15.34 191.66 0.402<br />
BAL1952 18 07 34.4 +02 24 08 11.52 12.8 13.9 154.66 0.402<br />
POU3350 18 07 59.9 +24 06 00 11.8 12.0 9.1 61.66 0.408<br />
BAL2474 18 08 03.4 +03 43 12 10.0 11.0 14.9 280.16 0.408<br />
POU3351 18 08 08.8 +23 27 12 12.05 13.9 10.4 152.66 0.408<br />
BAL2483 18 14 41.6 +03 42 05 212.00 12.7 13.06 191.66 0.408<br />
POU3380 18 17 22. +24 56 36 12.20 13.03 13.2 76.66 0.408<br />
BEM 37 19 01 24 +53 28 11.87 11.90 11.5 309.66 0.408<br />
STF2459 19 07 22.01 +25 58 23.9 9.12 10.07 14.6 236.66 0.408<br />
UPRH<br />
ρ<br />
UPRH<br />
θ<br />
Date<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
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Page 95<br />
Observation Report for the Year 2009, Humacao University Observatory<br />
September 2009 measurements<br />
Name RA DEC Mags<br />
LDS4622 16 01 47 -04 47 48 12.4 16.2 14.85 38.5 0.715<br />
HJ 580 16 02 50.56 + 37 05 26.8 9.20 12.2 43 7.5 0.715<br />
BEM 21 16 02 58.26 +51 11 40.4 10.54 11.02 19.04 104 0.715<br />
BAL1911 16 03 20.00 +02 31 26.8 12.19 12.7 17.77 233.5 0.715<br />
STF1999AB 16 04 25.9 -11 26 57 7.52 8.05 11.59 98 0.715<br />
ARA 433 16 06 35.8 -18 19 11 11.6 14.1 10.05 54.5 0.715<br />
HJ 582 16 07 06 +35 07 00 9.7 12.0 22.75 232 0.715<br />
ALI 370 16 07 26.8 +35 48 29 12.06 12.5 12.73 147.5 0.715<br />
POU3214 16 07 48.8 +23 05 29 11.1 13.3 12.40 83 0.715<br />
STF2010AB 16 08 04.5 +17 02 49 5.10 6.21 25.62 12 0.715<br />
HJ 1289 16 10 38.01 +39 28 38.2 11.39 12.3 11.48 239 0.715<br />
GRV 924 16 11 43.26 +35 07 29.1 8.8 12.1 10.35 308.5 0.715<br />
HJ 1288 16 12 40.8 -16 45 18 11.0 12.3 19.0 124 0.715<br />
ES 627 16 18 35.71 +51 19 51.5 9.88 10.98 11.70 288.5 0.715<br />
BAL2429 16 54 51.2 +03 18 41 11.77 12.8 11.40 51 0.715<br />
LDS4705 16 56 24.44 +03 30 29.1 15.2 17.0 13.90 53.5 0.715<br />
BAL1486 17 05 55.9 +00 55 57 10.86 12.4 7.40 12.5 0.715<br />
BAL1931 17 06 09.8 +02 06 05 11.4 11.5 18.10 188.5 0.715<br />
COU 109 17 06 27.9 +22 07 57 10.01 13.1 8.64 139 0.715<br />
SLE 78BC 17 06 49.8 +33 56 00 11.27 12.15 14.70 204 0.715<br />
LDS 988 17 06 56.77 +06 47 48.2 17.8 39 0.715<br />
STF2123 17 06 57.50 +06 48 03 9.82 9.98 18.86 217 0.715<br />
AG 353 17 07 01.4 +12 13 22 9.83 11.7 10.40 249 0.715<br />
STF2127 17 07 04.42 +31 05 35.1 8.70 12.30 14.8 276 0.715<br />
SLE 9 17 07 06.29 +20 29 21.7 10.49 11.94 20.1 174 0.715<br />
GRV 946 17 07 14.12 +25 44 34.5 10.54 11.7 20.5 40 0.715<br />
HJ 1314 18 07 05.32 +32 22 54.6 10.33 11.09 18 151 0.715<br />
SLE 110 18 07 14.5 +27 16 04 10.56 13.3 10.7 110 0.715<br />
BAL1952 18 07 34.4 +02 24 08 11.52 12.8 13.6 154.5 0.715<br />
STF2280AB 18 07 49.5 +26 06 04 5.81 5.84 14.1 177 0.715<br />
BAL2474 18 08 03.4 +03 43 12 10.0 11.0 15.35 282 0.715<br />
POU3351 18 08 08.8 +23 27 12 12.05 13.9 10.25 159 0.715<br />
SLE 111 18 08 53.9 +27 24 56 10.8 12.5 14.7 315 0.715<br />
POU3353 18 08 55.1 +23 19 00 12.26 12.4 15.55 342 0.715<br />
UPRH<br />
ρ<br />
UPRH<br />
θ<br />
Date<br />
Table continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
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Page 96<br />
Observation Report for the Year 2009, Humacao University Observatory<br />
September 2009 measurements (continued)<br />
Name RA DEC Mags<br />
STF2293 18 09 53.83 +48 24 05.7 8.08 10.34 13.4 85 0.715<br />
HJ 1315 18 09 53.5 +29 41 16 11.85 13.1 10.1 132 0.715<br />
ARA 267 18 09 54 -17 09 38 11.22 11.5 14.9 345.5 0.720<br />
SEI 559 18 10 27.8 +33 55 55 11.0 11.0 11.67 171 0.720<br />
BAL2481 18 10 37.2 +03 27 23 11.3 11.3 10.98 109.5 0.720<br />
AG 217 18 11 05.89 +53 29 37.8 10.77 11.85 14.29 237.5 0.720<br />
ALI 140 18 11 25.14 +35 06 45.5 10.97 11.79 14.43 253 0.720<br />
BAL2483 18 14 41.6 +03 42 05 12.00 12.7 13.1 195 0.720<br />
SLE 145 18 14 58.3 +03 03 43 11.2 11.9 11.94 27 0.720<br />
STF2459 19 07 22.01 +25 58 23.9 9.12 10.07 15.28 230.5 0.720<br />
POU3718 19 08 00.6 +24 58 09 10.69 13.7 14.41 270.5 0.720<br />
HJ 877 19 10 04.2 +19 33 15 10.8 11.1 12.5 295.5 0.720<br />
SLE 931 19 10 20.34 +02 49 58.7 9.9 12.0 11.62 80 0.720<br />
POU3745 19 12 00.7 +23 46 18 12.47 13.7 10.92 21 0.720<br />
HJ 1375 19 12 34 +28 14 47 11.02 13.64 12.39 84 0.720<br />
HLM 18 19 13 15.0 +39 08 57 10.94 11.33 12.7 332 0.720<br />
SLE 935 19 14 26.74 +02 12 06.2 11.0 11.0 8.83 219.5 0.720<br />
ARA1175 19 15 30.0 -19 55 19 11.60 12.5 12.5 14.5 0.720<br />
HJ 2861 19 16 30.4 +07 12 10 10.84 13.8 12.01 56 0.720<br />
BAL1516 19 17 00.2 +01 45 03 11.03 11.1 11.2 272 0.720<br />
HJ 2868 19 17 56.9 +58 07 58 11.9 11.9 11.57 100 0.720<br />
SEI1012 20 13 02.3 +34 50 28 11.0 11.0 14.79 50.5 0.720<br />
CHE 235 20 14 36.6 +14 52 35.2 10.0 11.5 13.8 28.5 0.720<br />
STI2586 21 42 40.45 +56 14 56.9 10.71 11.72 12.55 3 0.720<br />
STI2720 22 21 30.0 +58 36 48 12.1 12.1 14.57 160 0.720<br />
STI2722 22 21 59.1 +56 19 52 10.67 13.1 14.35 72 0.720<br />
STI2872 22 50 16.7 +57 36 20 11.85 11.9 10.88 55 0.720<br />
STF2999AD 23 18 46.4 +05 11 18 8.90 11.9 27.02 20.5 0.720<br />
STI3007 23 36 42.8 +58 19 49 13.2 13.2 9.14 123.5 0.720<br />
STI3012 23 38 24.5 +58 00 27 12.6 12.6 7.96 100.5 0.720<br />
BAL1249 23 41 02.7 +00 43 07 10.36 12.4 14.2 337.5 0.720<br />
STF 23AB 00 17 28.7 +00 19 15 7.88 10.28 9.6 217.5 0.720<br />
BAL1611 00 43 18.50 +02 51 01.2 11.4 11.5 19.5 181 0.720<br />
UPRH<br />
ρ<br />
UPRH<br />
θ<br />
Date
Vol. 8 No. 2 April 1, 2012<br />
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CCD Measurements <strong>of</strong> Espin’s Neglected <strong>Double</strong><br />
<strong>Star</strong>s: First in a Series<br />
Juan-Luis González Carballo<br />
Foro Extremeño de Astronomía, FEXDA<br />
Agrupación Astronómica de Sabadell, AAS<br />
Observatorio Cerro del Viento, MPC I84<br />
Badajoz, Spain<br />
struve1@gmail.com<br />
Abstract: In this paper I present the first in a series <strong>of</strong> CCD theta/rho measurements <strong>of</strong><br />
double stars from T. H. E. C. Espin’s catalog. In this project, I focused on the neglected doubles.<br />
I report here the first 100 measures. In addition, during this campaign, I found six<br />
new double stars, either new closed components <strong>of</strong> some <strong>of</strong> Espin’s systems or new common<br />
proper motion doubles <strong>of</strong> nearby pairs.<br />
Introduction<br />
A few months ago I observed on the same night<br />
several double stars with the initials “ES”. I was<br />
surprised by the number <strong>of</strong> them occupying a<br />
small portion <strong>of</strong> the sky, and I thought about finding<br />
information on the astronomer hiding behind<br />
those letters. Then, I remembered a lovely old photograph<br />
featuring Thomas Espin, which I had<br />
found some time ago. I had even used it for one <strong>of</strong> my<br />
blog’s posts.<br />
Shortly there after, I began my little research on<br />
this great English astronomer <strong>of</strong> the late 19 th century<br />
and the first third <strong>of</strong> 20 th , as I was hooked not only<br />
by his extraordinary capacity for work, but also by<br />
the passion he felt for double stars. Accordingly, I<br />
decided to dedicate a good portion <strong>of</strong> my time as a<br />
doubles’ observer to track down all the Espin stars<br />
I could. I contacted Dr. Brian D. Mason, fo the U.S.<br />
Naval Observatory, who kindly sent m a complete<br />
filtered list with all the stars that appear<br />
as neglected in the WDS.<br />
Even though the task seemed daunting, I decided<br />
to steel myself to get down to work, inspired by the<br />
similar work developed my friend and colleague<br />
Edgar R. Masa Martin from Valladolid<br />
(Spain) in the case <strong>of</strong> Stein. A total <strong>of</strong> 447 stars had<br />
not been observed over the last 20 years, considering<br />
them therefore as neglected. A little planning<br />
helped me to appreciate the opportunity to develop<br />
this enterprise and I started my observations<br />
at the end <strong>of</strong> 2009. Today, after 16 observation<br />
sessions, I can state that I have seen 80% <strong>of</strong> these<br />
doubles.<br />
In this paper, I present the first series <strong>of</strong> neglected<br />
doubles <strong>of</strong> Espin: 100 pairs. The rest will appear<br />
in subsequent works. In addition, thanks to<br />
the work done, I could detect some new and uncataloged<br />
double stars, both pairs with common proper<br />
motion (CPM) in the vicinity <strong>of</strong> Espin stars, and new<br />
closed components <strong>of</strong> some systems cataloged by our<br />
dear English amateur astronomer.<br />
About Espin<br />
The Rev. Thomas Henry Compton Espinell Espin<br />
was born May 28, 1858, in Birmingham, England. He<br />
received a good education, first at home through the<br />
attentions <strong>of</strong> his father, and later at Haileybury and<br />
Imperial Service College <strong>of</strong> Hertford to complete his<br />
training at Exeter College, Oxford University, where<br />
he graduated with honours in 1881. Just one year<br />
later he was ordained a deacon and months later he
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was consecrated as a pastor. Between 1882 and 1885,<br />
he held the position <strong>of</strong> assistant in the parishes <strong>of</strong><br />
West Kirby and Wolsingham; he stayed there until<br />
1888 when he was appointed permanent pastor <strong>of</strong> the<br />
nearby church <strong>of</strong> Saint Philip and Saint James <strong>of</strong> the<br />
small town <strong>of</strong> Tow Law. He remained there until his<br />
death in 1934 at the age <strong>of</strong> 76.<br />
In Tow Law he would lead a quiet and pleasant<br />
life with full dedication to his position and, <strong>of</strong> course,<br />
hobbies. He was known to spend nights at the observatory,<br />
even in adverse weather conditions. Along<br />
with his church, he enjoyed a comfortable vicarage<br />
surrounded by gardens. Espin was a lover <strong>of</strong> an orderly<br />
life and he had a s<strong>of</strong>t spot for cats, which accompanied<br />
him on his nights at the observatory (Figure<br />
1).<br />
In addition to his work as a clergyman and astronomer,<br />
Espin was interested in many fields <strong>of</strong> science:<br />
he was a pioneer in the use <strong>of</strong> astronomical photography,<br />
spectroscopy and the use <strong>of</strong> X-rays applied<br />
to medicine (as he did to build a hospital in his homeland<br />
for the care <strong>of</strong> tuberculosis). Likewise, he developed<br />
an equal interest in botany and geology.<br />
Espin was, undoubtedly, a well-known astronomer<br />
<strong>of</strong> his time, not only for his tireless efforts in the<br />
observation, but also for the discovery <strong>of</strong> double stars.<br />
He developed a fulfilling career as a researcher, while<br />
promoting associative work among amateur astronomers<br />
<strong>of</strong> his country -an odd curiosity in a lonely person<br />
like him.<br />
The beginning <strong>of</strong> his interest in the heavens<br />
seems to have started at the early age <strong>of</strong> 14 while he<br />
was a student at Haileybury College, around 1873. A<br />
pr<strong>of</strong>essor, F.J. Hall, aroused his curiosity in astronomy,<br />
enjoying his first telescopic observations in the<br />
small observatory at the college. Only 18 months after<br />
his baptism as astronomer, on January 11, 1878, he<br />
was elected Fellow <strong>of</strong> the Royal Astronomical Society<br />
(RAS), a fact completely unusual due to the youth <strong>of</strong><br />
the new member, thus becoming the youngest ever<br />
elected.<br />
At that time he began to publish his observations<br />
with some frequency in smaller publications such as<br />
English Mechanics. In those astronomical formative<br />
years he established important contacts with leading<br />
astronomers: - Thomas W. Webb, whom he helped in<br />
the compilation <strong>of</strong> his book <strong>of</strong> Celestial Objects (he<br />
was in charge <strong>of</strong> the following editions <strong>of</strong> this book),<br />
and the Pr<strong>of</strong>essor <strong>of</strong> the Savilian Chair <strong>of</strong> the University<br />
<strong>of</strong> Oxford Charles Pritchard, who served as his<br />
mentor in the working sessions at the telescope until<br />
he graduated at this University.<br />
Figure 1: Thomas Espin with one <strong>of</strong> his loving cats<br />
(Courtesy <strong>of</strong> Mrs. Pauline Russell, University <strong>of</strong> Durham).<br />
Also in those years, he began to develop the idea<br />
<strong>of</strong> creating an astronomical club in Liverpool. As a<br />
result, the Liverpool Astronomical Society was set up<br />
formally in 1881, with Espin a founding member. It<br />
wasn’t the last association that he promoted, because<br />
in 1904 we find him doing the same with the Newcastle<br />
Astronomical Society; he would be its president<br />
until his death in 1934. Espin was also a founding<br />
partner <strong>of</strong> the leading amateur club in Great Britain,<br />
the British Astronomical Association, besides being<br />
either an honorary member or correspondent for other<br />
associations around the world.<br />
There is no doubt that one <strong>of</strong> the most glorious<br />
moments in his astronomical life was the discovery <strong>of</strong><br />
a nova in the constellation <strong>of</strong> Lacerta, known as Nova<br />
Lacertae 1910 (currently DI Lac). It reached a brightness<br />
<strong>of</strong> 4.6, decreasing for 37 days to end up in its<br />
usual magnitude (between the 14th and 15th). Espin<br />
discovered it on December 30 <strong>of</strong> that year while observing<br />
double stars in that region <strong>of</strong> the sky just af-
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Figure 2: Th. Espin (left) and W. Milburn at the 6 meters Tow<br />
Low’s Observatory (Courtesy <strong>of</strong> Mrs. Pauline Russell, University<br />
<strong>of</strong> Durham).<br />
ter the sunset and noticed that this bright star was<br />
not in their charts <strong>of</strong> Argelander. He ran from the<br />
observatory to the vicarage to get its spectroscope to<br />
try to obtain the spectrum <strong>of</strong> the new star. Half an<br />
hour later he ran again, this time to the post <strong>of</strong>fice to<br />
send a telegram to the Greenwich Observatory, where<br />
the discovery was reported to Harvard and where<br />
photographs were taken that night. As a reward, in<br />
1913 he was awarded the Jackson-Gwilt Medal <strong>of</strong> the<br />
RAS. By then he had the help <strong>of</strong> a promising young<br />
man, William Milburn (MLB in WDS), whom he hired<br />
as an assistant and who would work with him until<br />
the end <strong>of</strong> his life.<br />
After that time, he focused his work almost exclusively<br />
on the cataloguing <strong>of</strong> new pairs <strong>of</strong> double stars,<br />
amounting to several thousand in his mature years.<br />
However, he still had time to discover as many as 20<br />
variable stars and deep sky objects that are entered<br />
into the Index Catalog (IC), including emission nebulae,<br />
open clusters and even a planetary nebula.<br />
The relatively comfortable position enjoyed by<br />
Espin over his life allowed him to have a scientific<br />
and astronomical equipment that was very advanced<br />
for his time. After taking <strong>of</strong>fice in 1885 in the parish<br />
<strong>of</strong> Wolsingham, he achieved a stability that resulted<br />
in his most productive years <strong>of</strong> astronomical dedication.<br />
And after enjoying the various scientific instruments<br />
and telescopes, <strong>of</strong> increasingly larger diameter<br />
and sophistication, he finally built an observatory six<br />
meters (Figure 2) in diameter to host<br />
a large telescope: the giant 17.25 "(438 mm) reflector.<br />
The observatory had to be moved, three years later, to<br />
Tow Law when, in 1888, Espin received his final destination<br />
in the parish <strong>of</strong> the town. However, in 1914,<br />
his aspiration to have an even bigger telescope, led<br />
him to acquire the 24" (609 mm) Calver reflector, giving<br />
the use <strong>of</strong> 17.25" to Milburn.<br />
For the rest <strong>of</strong> his life, he remained an observer<br />
until the age <strong>of</strong> 74, only two years before his death.<br />
He was devoted to the observation <strong>of</strong> double stars and<br />
had a true passion for their observation and cataloging.<br />
His list <strong>of</strong> publications on the subject is very long,<br />
especially after 1912 when he was helped by Milburn.<br />
In the dark face <strong>of</strong> the Moon, soon after crossing<br />
the northeast limb <strong>of</strong> the visible face from Earth,<br />
there is a prominent crater <strong>of</strong> 75 km in diameter,<br />
called Espin, the hunter <strong>of</strong> stars in the solitude <strong>of</strong> his<br />
small observatory <strong>of</strong> the distant Tow Law vicarage.<br />
A more extensive biography <strong>of</strong> Espin was published<br />
by us in the winter issue <strong>of</strong> 2011 <strong>of</strong> the Spanish<br />
magazine "El Observador de Estrellas Dobles” (OED)<br />
and can be downloaded for free from their website<br />
(Gonzalez Carballo, 2010).<br />
The Espin’s Neglected <strong>Double</strong>s<br />
The result <strong>of</strong> such a long astronomical life is difficult<br />
to be summarized, but it’s enough to say that one<br />
<strong>of</strong> his spectroscopes, designed by himself, was able to<br />
observe all the stars <strong>of</strong> the Argelander’s charts below<br />
the 9th magnitude, and cataloged 3800 red stars.<br />
However, it is his contribution to the world <strong>of</strong> double<br />
stars which has attracted the attention <strong>of</strong> posterity,<br />
especially for us.<br />
Almost all <strong>of</strong> Espin’s double stars, despite their<br />
variety, have a difference in brightness between the<br />
components rather striking, though, as noted by<br />
Comellas (1988), Espin used to exaggerate the real<br />
differences between them. The secondary components<br />
are almost always brighter than recorded. Their positions<br />
are quite accurate, pro<strong>of</strong> <strong>of</strong> his expertise in the<br />
management <strong>of</strong> graduated circles.<br />
In his publications he cataloged 2574 new double<br />
stars, plus another 912 that Milburn added after his<br />
death, a total <strong>of</strong> 3487. In the WDS there are 3135<br />
stars with his designation (ES), <strong>of</strong> which a total <strong>of</strong> 429<br />
(12.3%) are considered neglected, according to the list<br />
made for us by Brian Mason.<br />
Today, a few decades after his death, he still appears<br />
in the "Top Ten" <strong>of</strong> the WDS as one <strong>of</strong> the most<br />
active observers.<br />
The distribution <strong>of</strong> the Espin’s double stars in the<br />
sky is fairly concentrated in constellations that culminate<br />
between summer and autumn, which is not surprising<br />
when you consider the harsh winters <strong>of</strong> the<br />
English east coast in that latitude, and the common<br />
weather conditions in Great Britain. In fact, seven
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35<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
31,6<br />
20,8<br />
10,2<br />
8,4<br />
7,4<br />
5,3<br />
5,6<br />
4 3,2<br />
3,5<br />
40<br />
35<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
33,7<br />
28,6<br />
15,5<br />
9,1<br />
5,5<br />
3,5<br />
2,5 1,9<br />
0<br />
AND AUR CAS CYG DRA HER LAC LYR PEG OTHER<br />
0<br />
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to capture all Espin’s systems components. However,<br />
in some cases, especially due to the high ΔM <strong>of</strong> some<br />
systems, I worked with lower exposures, 1 second or<br />
less, to prevent saturation them and obtain higher<br />
quality astrometry and photometry. All images were<br />
treated with the corresponding dark-frames.<br />
I used MaxIm DL (from Diffraction Limited) for<br />
imaging and CCD camera control s<strong>of</strong>tware.<br />
These images were averaged in groups <strong>of</strong> 8 with<br />
Astroart 3.0 s<strong>of</strong>tware performing a manual stack that<br />
allowed me to eliminate those that have poor quality<br />
due to turbulence or poor guiding; in this way, I finally<br />
obtained 5 master images with a better signal/<br />
noise relation (SNR). These five master images can be<br />
averaged again to get even a better quality one. Thus,<br />
I have for every system a total <strong>of</strong> 6 high quality images<br />
with an excellent SNR for all the measures I<br />
made.<br />
The astrometric reduction was carried out by s<strong>of</strong>tware<br />
developed by Herbet Raab, Astrometrica<br />
(version 4.6) using UCAC3 catalog which usually<br />
yields residual differences <strong>of</strong> less than 0.1”. After obtaining<br />
the absolute astrometry <strong>of</strong> our stars in these 6<br />
images, I proceeded to calculate theta (angle position)<br />
and rho (angular separation) with the application created<br />
by Julio Castellano, Dobles.<br />
In addition, Astrometrica also calculated the resolution<br />
per pixel and the orientation <strong>of</strong> the image, both<br />
necessary in order to perform measurements with the<br />
Reduc s<strong>of</strong>tware, the impressive s<strong>of</strong>tware developed by<br />
our French friend and colleague Florent Losse. I used<br />
version 4.6. This method was used with closesr pairs<br />
(generally, 2.5” or less). In these cases, Reduc turned<br />
out to be a fundamental tool.<br />
However, when possible, every system was measured<br />
using both types <strong>of</strong> s<strong>of</strong>tware, so the data presented<br />
here are the average <strong>of</strong> both measures. Only<br />
those closer pairs have been measured exclusively<br />
with Reduc by their best reliability.<br />
In the Notes section that accompanies the Table<br />
<strong>of</strong> measurements, I have indicated the absolute astrometry<br />
<strong>of</strong> the A component star (calculated with<br />
Astrometrica) in case the WDS Catalog has an error<br />
<strong>of</strong> identification or position <strong>of</strong> some <strong>of</strong> the systems.<br />
The Measures<br />
In Table 1 I present the measures <strong>of</strong> the first 100<br />
Espin’s neglected double stars. I also included six<br />
new discoveries <strong>of</strong> systems that were found in the vicinity<br />
<strong>of</strong> some <strong>of</strong> the studied doubles or, in two cases,<br />
there are new components <strong>of</strong> some <strong>of</strong> them.<br />
The images were taken between November 3,<br />
2010 and July 8, 2011. In Table 10 I present a selection<br />
<strong>of</strong> the most <strong>of</strong> the Espin’s observed pairs. These<br />
are cuts from the images in fit format (200x200 pixels<br />
<strong>of</strong> the original).<br />
The data structure in the table (from left to right)<br />
is as follows:<br />
- Column 1: WDS catalog Identifier. They are<br />
listed in order <strong>of</strong> increasing right ascension. If the<br />
double <strong>of</strong> one line is a new discovery it will show the<br />
name "uncat"; in this cases I haven’t scored any identifier<br />
in the hope that will assigned by the USNO. If<br />
it is a new component <strong>of</strong> an Espin’s system we use the<br />
same identifier <strong>of</strong> the WDS. In all these cases, the<br />
exact coordinates (J2000) can be found in the<br />
"Discoveries" section.<br />
- Column 2: Name <strong>of</strong> the system. If the double <strong>of</strong><br />
that line is a new discovery, I have maintained the<br />
traditional nomenclature <strong>of</strong> the WDS, employing the<br />
observer code that the author has in the catalog<br />
(CRB).<br />
- Columns 3 and 4: Magnitudes for each component,<br />
given in WDS catalog. In the case <strong>of</strong> new doubles<br />
it has proceeded to annotate (in cursive boldface)<br />
other one proceeding from other sources. For more<br />
details, see the section “Discoveries”.<br />
- Column 5: The epoch <strong>of</strong> the observation, given<br />
in fractional Besselian year.<br />
- Column 6: Position Angle (in degrees).<br />
- Column 7: Angular Separation (in arcsec).<br />
- Column 8: Number <strong>of</strong> nights.<br />
- Column 9: Notes.
Vol. 8 No. 2 April 1, 2012<br />
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Table 1: Relative Astrometry <strong>of</strong> the Observed Pairs<br />
WDS Id. Discoverer WDS Mags. Epoch<br />
Theta<br />
(deg)<br />
Rho<br />
(a.s.)<br />
Nights<br />
Notes<br />
00078+4507 ES 1357 9.91 14.70 2011.510 181.5 4.261 2 1<br />
uncat<br />
CRB 2AC 9.91 12.01 2011.510 225.9 54.65 2 2<br />
00078+4507<br />
00287+5040 ES 1128 11.31 12.50 2010.861 178.5 2.87 1 3<br />
00304+3743 ES 2545 10.60 11.1 2010.861 86.8 9.846 1 4<br />
00401+3541 ES 2080 9.47 14.00 2010.861 44.4 4.901 1 5<br />
00526+3100 ES 2364 9.89 12.80 2010.880 135.4 5.976 1 6<br />
01393+4901 ES 1132 10.30 12.70 2010.861 214.4 6.08 1 7<br />
02164+3628 ES 270BC 11.29 13.50 2010.842 356.9 2.92 1 8<br />
02348+4924 ES 458AC 10.23 14.60 2010.861 244.0 20.67 1 9<br />
02497+3721 ES 2553 9.30 10.80 2010.864 177.1 6.567 1 10<br />
02564+3716 ES 2146AC 12.47 12.80 2010.864 101.4 8.82 1 11<br />
03276+5520 ES 875 10.91 12.00 2010.864 306.5 10.208 1 12<br />
03401+6310 ES 1881 11.95 12 2010.880 158.1 2.688 1 13<br />
03442+3710 ES 2560 10.50 12.00 2010.864 287.2 8.857 1 14<br />
03592+6013 ES 1778 9.40 12.20 2010.880 162.6 3.787 1 15<br />
04016+6126 ES 1959 10.5 12.2 2010.880 21.0 3.036 1 16<br />
04095+5257 ES 1067 10.57 13.20 2010.880 44.9 4.873 1 17<br />
04357+3800 ES 2562AB 11.70 12.40 2010.864 355.9 30.947 1 18<br />
04572+4322 ES 1527AC 10.39 12.80 2010.864 319.5 11.50 1 19<br />
05197+3421 ES 2466 11.59 14.30 2010.864 303.7 7.505 1 20<br />
uncat CRB 3 15.49 15.60 2010.864 122.5 50.81 1 21<br />
05213+5113 ES 959 11.64 14.10 2010.864 172.1 4.444 1 22<br />
05225+4621 ES 1231AC 10.40 11.40 2010.864 18.4 17.413 1 23<br />
05328+6359 ES 1886 10.02 12.20 2010.880 35.5 10.236 1 24<br />
05469+4250 ES 1626 10.66 13.10 2010.864 262.1 8.20 1 25<br />
05598+4752 ES 1232AB 11.50 12.70 2010.864 268.4 4.531 1 26<br />
05598+4752 ES 1232AC 11.50 11.80 2010.864 178.2 21.69 1 27<br />
06132+4124 ES 1730 10.33 14.80 2011.118<br />
104.5<br />
1<br />
5.96 1 28<br />
06194+3718 ES 287 9.81 13.3 2011.118 257.6 5.945 1 29<br />
06381+5227 ES 1075 10.36 13.00 2010.864 4.9 8.131 1 30<br />
06435+3929 ES 2098BC 10.64 13.30 2011.118 315.6 3.56 1 31<br />
06595+3706 ES 2621AH 7.88 12.0 2011.118 119.2 9.496 1 32<br />
07080+4650 ES 1240AC 10.31 14.90 2011.118 296.4 17.63 1<br />
33,<br />
34<br />
07148+5142 ES 1081AB 10.13 13.30 2011.118 205.6 5.473 1 35<br />
Table 1 continues on next page.
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Table 1 (continued) : Relative Astrometry <strong>of</strong> the Observed Pairs<br />
WDS Id. Discoverer WDS Mags. Epoch<br />
Theta<br />
(deg)<br />
Rho<br />
(a.s.)<br />
Nights<br />
Notes<br />
07234+3510 ES 418 8.40 13.60 2011.118 23.9 13.963 1 36<br />
07453+4041 ES 1537 10.68 14.60 2011.091 354.8 10.934 1 37<br />
07566+5017 ES 905 10.72 13.40 2011.091 290.6 5.383 1 38<br />
08085+5130 ES 70BC 12.90 13.40 2011.151 343.5 7.673 1 39<br />
08225+6318 ES 1899 9.44 11.10 2011.091 219.8 12.884 1 40<br />
17374+5040 ES 2661BC 9.84 12.80 2011.516 17.9 14.71 1<br />
18218+6358 ES 1837 9.83 11.60 2011.516 216.9 14.79 1 41<br />
18227+3522 ES 2172 12.17 13.20 2011.516 46.6 2.861 1<br />
18296+4851 ES 2667 10.64 14.70 2011.516 67.5 13.57 1 42<br />
uncat<br />
CRB 4BC 14.70 ~14.95 2011.516 290.2 3.10 1 43<br />
18296+4851<br />
18334+3727 ES 2481 10.50 11 NOT FOUND 44<br />
18343+3200 ES 2420AB 11.74 11.7 2011.516 133.9 2.925 1<br />
18451+3756 ES 2020 10.33 12 2011.510 342.1 3.662 1 45<br />
18466+3853 ES 2021AC 10.26 13.40 2011.516 260.4 23.03 1<br />
18493+3301 ES 2287 10.90 12.30 2011.516 293.1 3.873 1<br />
18517+6222 ES 1841 10.81 13.30 2011.515 105.1 3.419 1<br />
18523+3321 ES 2233BC 11.90 12.10 2011.516 88.0 2.819 1<br />
18555+4411 ES 1428BC 13.50 13.70 2011.510 119.9 2.613 1 46<br />
18572+3704 ES 2030AB 11.20 14.20 2011.516 234.4 2.948 1<br />
18590+3654 ES 2032 10.75 13.60 2011.516 247.0 41.41 1<br />
19057+6502 ES 1914 10.50 11.50 2011.515 338.3 2.594 1<br />
19238+4021 ES 1662 10.60 12.40 2011.510 72.81 3.17 1 47<br />
19252+4340 ES 1432CD 13.10 13.50 2011.423 258.2 5.6495 1 48<br />
19270+4129 ES 1663AB 8.75 13.10 2011.513 212.5 9.57 1 49<br />
19275+5005 ES 1096 10.15 12.60 2011.513 159.1 6.82 1 50<br />
19296+3453 ES 2240AC 12.30 12.80 2011.513 156.4 2.822 1<br />
19304+3200 ES 2369 9.93 13.70 2011.513 65.9 7.95 1 51<br />
19310+3507 ES 2241AB 10.20 12.20 2011.510 297.4 28.38 1 52<br />
19310+3507 ES 2241BC 12.60 12.90 2011.510 22.4 2.813 1 53<br />
19310+3507 ES 2241BD 12.60 14.10 2011.510 342.8 8.629 1 54<br />
19348+5510 ES 655BC 11.30 12.80 2011.510 59.9 2.952 1 55<br />
19364+4808 ES 491AB 10.15 10.60 2011.477 53.51 9.989 1 56<br />
19374+4619 ES 656AC 10.50 11.20 2011.423 292.1 38.36 1 57<br />
19374+4619 ES 656CD 11.20 11.50 2011.423 242.2 2.744 1 58<br />
19376+4023 ES 1666 10.59 13.30 2011.513 309.6 4.021 1<br />
19386+4020 ES 1668 11.18 12.20 2011.510 140.5 2.812 1 59<br />
19422+4413 ES 1435 9.93 13.70 2011.513 124.3 4.134 1<br />
Table 1 continues on next page.
Vol. 8 No. 2 April 1, 2012<br />
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Table 1 (continued) : Relative Astrometry <strong>of</strong> the Observed Pairs<br />
WDS Id. Discoverer WDS Mags. Epoch<br />
Theta<br />
(deg)<br />
Rho<br />
(a.s.)<br />
Nights<br />
Notes<br />
19476+6403 ES 1917 8.40 12.50 2011.513 338.3 8.04 1<br />
19477+3531 ES 2244 10.32 13.20 2011.513 24.8 2.75 1<br />
19484+3144 ES 354 8.96 11.90 2011.510 332.9 9.72 1<br />
19492+4238 ES 1565BC 12.60 13.70 2011.510 49.8 4.571 1 60<br />
19495+3843 ES 84AB 6.11 11.10 2011.513 161.2 10.14 1<br />
19495+3843 ES 84AC 6.11 13.2 2011.513 93.7 21.58 1<br />
19495+3843 ES 84BC 11.10 13.2 2011.513 65.8 20.02 1<br />
19500+4509 ES 23AC 8.27 15 2011.513 97.5 12.99 1 61<br />
uncat CRB 5 17.79 17.79 2011.516 289.9 3.611 - 62<br />
19500+3243 ES 2371CD 12.00 13.00 2011.513 178.6 2.874 1 63<br />
19501+3158 ES 2427AB 10.70 12.40 2011.477 50.4 15.56 1 64<br />
19514+1929 ES 2114 9.38 13.10 2011.513 223.1 12.71 1 65<br />
19521+3148 ES 2428AB 8.60 11.10 2011.513 90.1 89.18 1 66<br />
19522+3449 ES 2300 9.88 12.80 2011.513 251.1 5.27 1<br />
19548+3724 ES 2118AB 9.83 13.80 2011.513 274.9 10.53 1<br />
19566+6122 ES 1851 10.47 12.70 2011.513 154.8 6.19 2 67<br />
20039+4411 ES 85AD 12.5 10.52 2011.513 306.6 11.152 1 68<br />
20097+6220 ES 1853 12.06 12.10 2011.513 293.7 4.43 1 69<br />
20142+4744 ES 799AB 10.98 11.10 2011.513 17.0 2.066 2 70<br />
20142+4744 ES 799CD 11.30 15.70 2011.513 73.4 4.3995 2 71<br />
20362+3812 ES 2511 11.62 11.80 2011.478 250.9 7.147 1 72<br />
uncat CRB 6 16.16 16.30 2011.510 155.9 10.85 1 73<br />
20461+3653 ES 2514 10 11 2011.510 101.1 2.894 1 74<br />
21221+3525 ES 2259 9.43 11.40 2011.510 244.9 4.42 1 75<br />
21231+3647 ES 2124 10.35 11.90 2011.423 263.6 7.7305 1 76<br />
21254+4848 ES 1102BC 12.30 13 2011.510 36.3 6.789 1 77<br />
21254+4818 ES 1102CD 13 13.80 2011.510 109.5 3.602 1 78<br />
uncat<br />
CRB 7Ca,Cb - - 2011.622 109.5 1.62 1 79<br />
21254+4818<br />
21268+3337 ES 2382 12.49 13.80 2011.510 256.7 7.73 1 80<br />
21278+3636 ES 2127 10.36 10.60 2011.510 298.3 4.199 1 81<br />
21526+5013 ES 1175 11.16 12.60 2011.511 210.8 9.69 1 82<br />
23021+4451 ES 1349 8.93 13.70 2010.861 173.0 3.93 1 83<br />
23033+4904 ES 856 9.79 12.50 2010.861 6.7 7.38 1 84<br />
23086+3620 ES 2078 10.44 13.40 2010.861 2.1 4.03 1 85<br />
23210+3709 ES 2001 10.89 12.20 2010.861 296.7 8.17 1 86<br />
Table 1 notes on next page.
Vol. 8 No. 2 April 1, 2012<br />
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Notes<br />
1. ES 1357. In And. Only measured in 1915 by Espin.<br />
Rho decreasing and theta increasing significantly<br />
due to the pM <strong>of</strong> A-component: 37.84/-3.65<br />
(PPMXL). I see a new component with the same pM<br />
at 54.646”. See note below.<br />
2. CRB 2AC. In And. New CPM pair, see “Discoveries”<br />
section.<br />
3. ES 1128. In And. Only measured in 1912. Proper<br />
motion <strong>of</strong> A = 1.65/-1.15 (PPMXL). Rho decreasing.<br />
4. ES 2545. In And. Only measured in 1932. Erroneous<br />
theta in Espin measure (+180 degrees). A<br />
componet has high proper motion: 27.2/-20.7<br />
(PPMXL). Geat dM (3.40). The brigthness <strong>of</strong> B component<br />
is substantially weaker than what is noted<br />
in WDS.<br />
5. ES 2080. In And. Only measured in 1924 by Espin.<br />
Theta decreasing. Difficult: great dM (4.3).<br />
6. ES 2364. In Psc. Only measured in 1929 by Espin.<br />
High dM (3.89). Rho decreasing, theta increasing.<br />
Proper motion <strong>of</strong> A-component: 1.2/-6.8 (PPMXL).<br />
7. ES 1132. In And. Only measured in 1912. Poper<br />
motion <strong>of</strong> A = 29.2/1.6 (PPMXL). Rho remains.<br />
Theta increasing.<br />
8. ES 270BC. In And. Two measures in WDS (1924<br />
and 1926). Theta and rho remains. Proper motion<br />
<strong>of</strong> A = -0.2/-7.2 (PPMXL).<br />
9. ES 458AC. In And. Only measured in 1907. Theta<br />
remais. Rho decreasing. Icompatible proper motions:<br />
A = 1.8/-8.4 and C = -19.3/-15.3 (PPMXL) .<br />
I see brighter component B as indicated in WDS.<br />
10. ES 2553. In Per. Only measured in 1932 by Espin.<br />
Correct coordinates: A=02 49 45.86 +37 21 18.5<br />
and B=02 49 45.90 +37 21 12.5 High dM (2.96).<br />
11. ES 2146AC. In Per. Two measures in WDS (1925<br />
and 1980). Rho decreasing and theta increasing. A<br />
very beautiful trio <strong>of</strong> closed stars (see image 7,<br />
table 8). The RGB composite image <strong>of</strong> Aladin (from<br />
POSSI and POSSII images) suggests that only A-<br />
component has pM (-27.4/-73.6, according to<br />
PPMXL).<br />
12. ES 875. In Per. Only measured in 1910 by Espin.<br />
Theta and rho increasing.<br />
13. ES 1881. In Cam. Two measures in WDS (1921 and<br />
1978). 1978 measurement change A for B in theta<br />
value. I also see brighter B component. Rho decreasing.<br />
Proper motion <strong>of</strong> A-component is -<br />
7.8/7.8. Beautiful and delicate couple. I see them<br />
weaker than WDS magnitudes.<br />
14. ES 2560. In Per. Only measured by Espin in 1932.<br />
Rho increasing, theta decreasing. A-component<br />
has pM = 31.4/32.5 (UCAC3 and PPMXL).<br />
15. ES 1778. Only measured in 1919 by Espin. Marked<br />
in WDS as “Dubious double” (X). I found it at this<br />
coordinates: A=035818.45 +60 12 31.0 and B=03<br />
58 18.56 +60 12 28.1. Rho decreasing. High dM<br />
(3.36). Small and incompatible proper motions,<br />
according to PPMXL (A=-8.6/2.8 and B=-10.8/-<br />
8.2).<br />
16. ES 1959. In Cam. Two measures in WDS (1922 and<br />
1983). Theta decreasing. Proper motion <strong>of</strong><br />
A=11.7/12.4 (PPMXL). dM=2.36.<br />
17. ES 1067. In Cam. Only measured in 1911 by Espin.<br />
Stable couple. Wrong position in WDS. Correct coordinates:<br />
A=04 09 20.50 +52 51 57.1 (TYC 3718<br />
-1508-1) and B=04 09 20.88 +52 52 00.6.<br />
18. ES 2560. Two measures in WDS (1932 and 1985).<br />
My measurements are agree better with Espin annotations<br />
than with the latest. Stable couple.<br />
19. ES 1527AC. In Aur. Only two measures in WDS<br />
(1916 and 1983). The 1983 measure confused the<br />
Espin couple with other two near stars (04 57<br />
22.229 +43 22 40.8). Espin’s couple remains stable.<br />
Incompatible pM (A=1.6/-7.7 and B=-11/-<br />
7.3, according to PPMXL). AB is neglected too.<br />
20. ES 2466. In Aur. Only measured in 1931 by Espin.<br />
Spect. A = A2. Rho increasing, theta slowly decreasing.<br />
High dM (2.73). Correct coordinates: 05<br />
19 44.68 +34 25 05.35.<br />
21. CRB 3. In Aur. New CPM. Magnitudes from<br />
GSC2.3. See “Discoveries” section.<br />
22. ES 959. In Aur. Only measured by Espin in 1910.<br />
Theta and rho slowly increasing. Great dM (2.49).<br />
High pM <strong>of</strong> A-component according to UCAC3 and<br />
PPMXL (0.7/-96.9). The RGB composite image <strong>of</strong><br />
Aladin (from POSSI and POSSII images) suggests<br />
that only A-component has this high pM. Correct<br />
coordinates <strong>of</strong> A = 05 21 15.326 +41 11 08.10<br />
(UCAC3).<br />
23. ES 1231AC. In Aur. Only measured by Espin in<br />
1913. Theta and rho increasing. A-component has<br />
significant pM: -35.9/-36.9 (PPMXL) and it’s incompatible<br />
with B pM (10.7/3.5, according to<br />
PPMXL).<br />
24. ES 1886. In Cam. Only measured by Espin in 1921.<br />
High dM (3.23). A-component has high pM (-12/-<br />
66) and that explains the difference <strong>of</strong> the values<br />
in Ap and Sep that I have obtained. Rho increasing,<br />
theta decreasing.<br />
25. ES 1626. In Aur. Rho increasing and theta slowly<br />
decreasing. Only two measures in WDS. Proper<br />
motion <strong>of</strong> A-component is 5.7/-13.1 (PPMXL).<br />
26. ES 1232AB. In Aur. Theta and rho increasing. A-<br />
component’s pM is substantially different what is<br />
noted in WDS: 49.8/-12.1 (PPMXL). AC pair is neglected<br />
too (see note #27).<br />
27. ES 1232AC. In Aur. Rho increasing, theta decreasing.<br />
Incompatible proper motions (A=49.8/-12.1<br />
an B=-5.5/5.4). AB pair is neglected too (see note<br />
#26).
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28. ES 1730. In Aur. Only measured in 1918 by Espin.<br />
Rho increasing, theta decreasing. Difficult: high dM<br />
(4.62). Small pM in both components.<br />
29. ES 287. In Aur. Only measured by Espin in 1906.<br />
Stable pair. The high pM <strong>of</strong> A-component (-.25/-<br />
43.8, PPMXL) indicates than ES 287 must be CPM,<br />
although pM <strong>of</strong> B-component not appears in catalogues<br />
(UCAC3 or PPMXL). The RGB composition<br />
image <strong>of</strong> Aladin (POSSI and POSSII) suggested it<br />
too.<br />
30. ES 1075. In Aur. Theta decreasing and rho increasing.<br />
Two measures in WDS (1911 and 1925). Incompatible<br />
proper motions according to PPMXL<br />
data (A=-17.6/-37.3 and B=-9.5/-2.3). High dM<br />
(2.92).<br />
31. ES 2098BC. In Aur. Only measurement in WDS<br />
(Espin, 1924). Rho decreasing, theta increasing.<br />
Discrepant values <strong>of</strong> A-component pM in UCAC3<br />
and PPMXL, in any case bigger than it is indicated<br />
in WDS.<br />
32. ES 2621AH. In Aur. Only measured by Espin in<br />
1892. High dM (4.89). Discrepant values between<br />
my measurement and what Espin measured in<br />
1892. No significant proper motion in any component.<br />
The system appears very clearly in the images<br />
so, probably, it is an error in the Espin annotations.<br />
33. ES 1240AC. In Lyn. A-component has high proper<br />
motion (95/-8 in WDS). That explains the substantial<br />
difference in theta and rho values since the<br />
first measurements <strong>of</strong> Espin (in 1913). Rho increasing,<br />
theta decreasing. High dM (4.27).<br />
34. ES 1240AB. In Lyn. Not measured because A-<br />
component (with high pM, see note above) is actually<br />
just on the B-component.<br />
35. ES 1081AB. In Lyn. Only measured by Espin in<br />
1911. Theta and rho increasing. Small pM <strong>of</strong> both<br />
components. High dM (3.38).<br />
36. ES 418. In Gem. Only measured in 1907 by Espin.<br />
Theta increasing. High dM (6.01).<br />
37. ES 1537. In Lyn. Only one measurement in WDS<br />
(1916, Espin). Rho increasing, probably due to high<br />
pM <strong>of</strong> A-component (7/-49 in WDS). High dM<br />
(3.21).<br />
38. ES 905. In Lyn. Only one measurement in WDS<br />
(1910, Espin). Theta and rho increasing. Incorrect<br />
coordinates in WDS, the real Espin double is a near<br />
couple located 1.5’ at East. Coordinates <strong>of</strong> A = 07<br />
56 44.29 +50 18 00.0 and B = 07 56 43.79 +50<br />
18 01.9.<br />
39. ES 70BC . In Lyn. Two measurements made by<br />
own Espin in WDS (1901 and 1926). While rho is<br />
stable, theta has substantially increasing between<br />
the measurements <strong>of</strong> 1901 and 1926, probably<br />
due to an annotation error (248º instead <strong>of</strong> 348º).<br />
Not seen significant pM in any <strong>of</strong> the components.<br />
40. ES 1899. In UMa. Two measurements in WDS (1913<br />
and 1934). Rho and theta increasing due to A-<br />
component pM = 13.5/-24.9 (PPMXL). High dM<br />
(3.52).<br />
41. ES 1837. In Dra. Only one measurement in WDS<br />
(1920, Espin). Values <strong>of</strong> theta and rho had change<br />
substantially since 1920 due to the high proper<br />
motion <strong>of</strong> A-component: 19.2/118.4 (PPMXL) See<br />
Figure 6.<br />
Figure 6: High pM <strong>of</strong> A-component <strong>of</strong> ES 1837 (DSSI/DSSII<br />
RGB Aladin)<br />
42. ES 2667. In Dra. Theta and rho increasing due to<br />
pM <strong>of</strong> B-component as it can be seen in the RGB<br />
composition image <strong>of</strong> Aladin (see note below).<br />
43. CRB 4BC. In Dra. New component <strong>of</strong> ES 2267 system,<br />
see “Discoveries” section.<br />
44. ES 2481. In Lyr. Not found in the coordinates or<br />
near them. Marked in WDS as X “Dubious <strong>Double</strong>”.<br />
WDS Notes: “Not found by Heintz at IDS position”<br />
(Hei1985a).<br />
45. ES 2020. In Lyr. Two measurements in WDS (1923<br />
and 1940). Rho increasing and theta decreasing.<br />
pM <strong>of</strong> A-component = 19/-24. Difficult: dM = 2.8.<br />
46. ES 1428BC. In Lyr. Two measurements in WDS<br />
(1897 and 1964). Theta and rho decreasing. Beautiful<br />
couple, delicate.<br />
47. ES 1662. In Lyr. One measurement in WDS (1917,<br />
Espin). Precise coordinates for A = 19 23 48.40<br />
+40 20 36.0. Proper motion <strong>of</strong> A-component = -<br />
9.4/-17.7. Difficult: dM = 2.19.<br />
48. ES 1432CD. In Lyr. Rho increasing, theta decreasing.<br />
Only one measurement in WDS (1915, Espin).<br />
No appreciate pM, small dM (0.49), very delicate<br />
couple.<br />
49. ES 1663AB. In Lyr. One measurement in WDS
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(1917, Espin). Theta decreasing, rho increasing<br />
substantially due to pM <strong>of</strong> A-component (2.5/16.9<br />
according to PPMXL).<br />
50. ES 1096. In Cyg. Only measured in 1911 by Espin.<br />
Rho decreasing slowly and theta increasing.<br />
51. ES 2369. In Cyg. Only one measurement in WDS<br />
(1929, Espin). Theta decreasing due to high proper<br />
motion <strong>of</strong> A-component (-3/-59, WDS).<br />
52. ES 2241AB. In Cyg. Incorrect coordinates in WDS.<br />
Precise coordinates: A=19 31 41.50 +35 09 37.7<br />
and B=19 31 39.46 +35 09 50.7. Insignificant<br />
proper motions. Stable pair. Components BC y BD,<br />
see in notes #53 and #54.<br />
53. ES 2241BC. In Cyg. Precise coordinates: B=19 31<br />
39.46 +35 09 50.7 and C=19 31 35.90 +35 09<br />
52.4. Delicate pair, small dM (0.81). Theta and rho<br />
decreasing slowly.<br />
54. ES 2241BD. In Cyg. Precise coordinates: B=19 31<br />
39.46 +35 09 50.7 and D=19 31 39.26 +35 09<br />
59.2. Theta and rho decreasing.<br />
55. ES 655BC. In Cyg. Only one measurement in WDS<br />
(1908, Espin). Stable pair. Insignificant pM.<br />
56. ES 491AB. In Cyg. One measurement in WDS<br />
(1907, Espin). Stable pair. Incorrect coordinates in<br />
WDS; the correct for de A-component are: 19 36<br />
39.41 +47 58 59.5. Incompatible proper motion.<br />
Optical pair.<br />
57. ES 656AC. In Cyg. Only measured in 1908 by<br />
Espin. Stable pair. Small pM in both components.<br />
AB pair is HJ 1427. Incorrect coordinates in WDS<br />
(A=19 37 25.24 +46 18 37.6).<br />
58. ES 656CD. In Cyg. Stable couple. Only measured in<br />
1908 by Espin. dM is bigger than what WDS indicates<br />
(1.77).<br />
59. ES 1668. In Cyg. Two measurements in WDS (1917<br />
and 1936). dM=0.77. pM A-component = -11/4.<br />
60. ES 1565BC. In Cyg. Only one measurement in WDS<br />
(1916, Espin). Rho increasing, probably due to pM<br />
<strong>of</strong> A-component (-29/-29 in WDS). Small dM<br />
(0.33). Beautiful pair.<br />
61. ES 23AC. In Cyg. One measurement in WDS<br />
(1915, Espin). Rho increasing, theta decreasing.<br />
Great dM (5.6). Proper motion A-component = -<br />
7.9/-8.4 (PPMXL). Near I found a new quick CPM<br />
pair (see note below).<br />
62. CRB 5. In Cyg. New CPM near ES 23AC. See<br />
“Discoveries” section.<br />
63. ES 2371CD. In Cyg. Two measurements in WDS<br />
(1929 and 1988). The 1988 measurement is inconsistent<br />
with the observations <strong>of</strong> Espin and myself,<br />
especially in rho. Theta increasing.<br />
64. ES 2427AB. In Cyg. Two measures in WDS (1930<br />
and 1933). Great increment <strong>of</strong> theta and rho values<br />
due to high proper motion <strong>of</strong> A-component (-<br />
124/-126 in WDS, -110/-130.7 in PPMXL).<br />
65. ES 2114. In Cyg. Two Espin’s measurements (1924<br />
and 1929). I observe distinctly less bright the A-<br />
component. Rho increasing substantially due to<br />
high proper motion <strong>of</strong> A, according to PPMXL is -<br />
60/-92.3 (-38/-78 in WDS).<br />
66. ES 2428AB. In Cyg. There is a tiny star near A-<br />
component separated by 9”. Stable couple.<br />
67. ES 1851. In Dra. One measurement in WDS (1920,<br />
Espin). Theta and rho increasing due to pM <strong>of</strong> A-<br />
component (5/40, WDS).<br />
68. ES 85AD. In Cyg. One measurement is WDS<br />
(1907, Espin). Theta and rho decreasing. WDS<br />
don’t publish the magnitude <strong>of</strong> D-component. According<br />
to GSC2.3 Vmag is 14.45. Proper motion<br />
<strong>of</strong> A=-2/-3 (WDS) and D=-7.8/-4.0 (PPMXL).<br />
69. ES 1853. Two measurements in WDS (1911 and<br />
1977). Theta decreasing slowly. Very delicate pair,<br />
dM = 0.11.<br />
70. ES 799AB. In Cyg. Only one measurement in WDS<br />
(1909). Rho decreasing, theta increasing. Very<br />
closed and equilibrated pair, small dM (0.17).<br />
71. ES 799CD. In Cyg. High dM (3.31). Insignificant<br />
pM. Only measured in 1909.<br />
72. ES 2511. In Cyg. Only one measurement in WDS<br />
(1931, Espin). Incorrect coordinates in WDS; the<br />
correct for A-component is: 20 36 08.27 +38 12<br />
05.9. Rho increasing, theta decreasing. dM = 0.5.<br />
Insignificant pM.<br />
73. CRB 6. In Cyg. New CPM pair near ES 2514 , see<br />
“New Discoveries” section.<br />
74. ES 2514. In Cyg. Only one measurenment in WDS<br />
(1931, Espin). Rho decreasing, theta increasing.<br />
Small dM = 0.55.<br />
75. ES 2259. In Cyg. Only one measurement in WDS<br />
(1926, Espin). Theta decreasing slowly. Proper motion<br />
<strong>of</strong> A-component = 22/-8.<br />
76. ES 2124. In Cyg. Only one measurement in WDS<br />
(1924, Espin). Incorrect coordinates in WDS. Correct<br />
are: A=21 23 15.49 +36 46 39.9.<br />
77. ES 1102BC. In Cyg. Two measurements in WDS<br />
(1900 and 1911). Rho increasing and theta decreasing.<br />
Small dM (0.33). I observe a faint star<br />
near C-component. See below (note #77).<br />
78. ES 1102CD. In Cyg. Only measured in 1911 by<br />
Espin. Stable pair. dM = 1.21.<br />
79. CRB 7Ca,Cb. In Cyg. New component <strong>of</strong> ES 1102<br />
system, near the B star, see “Discoveries” section.<br />
80. ES 2382. In Cyg. Only one measurement in WDS<br />
(1929, Espin). Marked in WDS as I (Identification<br />
uncertain). I see it in the position indicated in WDS.<br />
Theta and rho increasing due to proper motion <strong>of</strong><br />
the components: A = 13/-17.9 and B = -71/32.9.<br />
Incompatible pM. Optical pair. See Figure 7.<br />
81. ES 2127. In Cyg. One measurement in WDS (1924,<br />
Espin). Insignificant pM <strong>of</strong> A-component. Rho de-
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same spectral class (A = F7V/F8III, C = G4V/F9III,<br />
Table 3), although it has not been determined<br />
whether it is a giant red or a dwarf star. After consultation<br />
with Francisco M. Rica Romero through a private<br />
communication states that we can not conclude,<br />
with current data, whether it is a physical or an optical<br />
pair. This new pair will be further explored to try<br />
to get definitive results.<br />
Figure 7: DSS-POSS I, DSS-POSSII and RGB composition images<br />
<strong>of</strong> ES 2383 (Aladin).<br />
creasing slowly.<br />
82. ES 1175. In Cyg. Only measured by Espin un 1912.<br />
Theta and rho increasing.<br />
83. ES 1349. In And. Only measured in 1914. Rho<br />
decreasing, theta increasing. Spec. A = F0. Proper<br />
motion <strong>of</strong> A = 4.3/2.2.<br />
84. ES 856. In And. Only measured in 1909. Rho<br />
slowly increasing, theta slowly decreasing. Propor<br />
motion <strong>of</strong> A-component = 20/4.2 (PPMXL).<br />
85. ES 2078. In And. Only two measures in WDS (1923<br />
and 1933). A-component has a substantial proper<br />
motion: -50.6/-4.2 (PPMXL). This explains the<br />
large decrease in rho and the striking increase <strong>of</strong><br />
theta.<br />
86. ES 2001. In And. Two measures in WDS (1922 and<br />
1935). Rho and theta increasing. Proper motion <strong>of</strong><br />
A = 15.8/-8.3 (PPMXL).<br />
Table 2: Proper motions <strong>of</strong> the new system<br />
CRB 2AC (PPMXL).<br />
pM AR<br />
pM Dec<br />
A 37.84 -3.65<br />
C 35.41 -3.77<br />
Table 3: JHK Photometry (2MASS).<br />
J H K<br />
A 8.754 8.532 8.490<br />
C 10.734 10.449 10.420<br />
Discoveries<br />
Six new double stars have been found. None <strong>of</strong><br />
them has been published in any consulted source.<br />
Two <strong>of</strong> them are new close components <strong>of</strong> systems<br />
catalogud by Espin, whereas the other four are unpublished<br />
doubles located in the vicinity <strong>of</strong> other<br />
Espin’s double stars; all four cases appear to be new<br />
common proper motion pairs.<br />
CRB 2AC<br />
New component <strong>of</strong> the system ES 1357 (in Andromeda).<br />
It is situated at the following coordinates:<br />
00 07 41.90 +45 07 06.9<br />
This is a star <strong>of</strong> magnitude V = 12.01 based on<br />
photometry from the catalogs and UCAC3 and<br />
CMC14. It is placed at 54.65" and 225.9° <strong>of</strong> the A<br />
component, Figure 8. It has a very similar proper motion<br />
to the A star <strong>of</strong> the system (see Table 2), and the<br />
Figure 8: CRB<br />
del Viento”.<br />
2AC obtained at the “Observatorio Cerro
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CRB 3<br />
A new pair with common proper motion located in<br />
Auriga, in the vicinity <strong>of</strong> the system ES 2466 (Figure<br />
9). They have a high common proper motion (see Table<br />
4) and a compatible spectral class (A = M2.5/K4III<br />
and B = M3V/K4III), calculated using the method developed<br />
by Francisco M. Rica Romero from JHK photometry<br />
<strong>of</strong> 2MASS (Table 5). Given the impossibility<br />
<strong>of</strong> obtaining UCAC3 photometry that allows us the<br />
extrapolation <strong>of</strong> the V magnitude, based on the Pavlov’s<br />
equations (Pavlov, 2009), we took the one <strong>of</strong>fered<br />
by GSC2.3, resulting the following V magnitudes: A =<br />
15.49, B = 15.60. The separation <strong>of</strong> both components<br />
is 50.81" and they are situated at 122.5° <strong>of</strong> angular<br />
position. These two faint stars exceed the 15th magnitude<br />
(see Table 4) and their exact coordinates are:<br />
A = 05 19 34.22 +34 20 36.0<br />
B = 05 19 37.68 +34 20 08.7<br />
Table 4: Proper motions <strong>of</strong> the new system<br />
CRB 3 (PPMXL).<br />
pM AR<br />
pM Dec<br />
A 75.5 -213.9<br />
B 67.7 -209.5<br />
Figure 9: RGB composition image <strong>of</strong> the zone <strong>of</strong> ES 2466 and<br />
CRB 3 (Aladin).<br />
CRB 4<br />
This is a new component <strong>of</strong> the system ES 2667<br />
(in Draco). The B component <strong>of</strong> this Espin double is<br />
actually two close stars and with similar magnitude<br />
(Figure 10). They are located at the following coordinates:<br />
B = 18 29 36.834 +48 51 36.52<br />
C = 18 29 36.538 +48 51 37.59<br />
Table 5: JHK Photometry (2MASS).<br />
J H K<br />
A 11.759 11.164 10.918<br />
B 11.945 11.361 11.085<br />
Therefore, they are situated at 3.104" with a position<br />
angle <strong>of</strong> 290.2°. These stars do not appear as independent<br />
ones on pr<strong>of</strong>essional catalogs. PPMXL only<br />
shows the proper motion (possibly combined) <strong>of</strong> a star<br />
in that position (122.3/44.6), but in view <strong>of</strong> the RGB<br />
composition <strong>of</strong> Aladin (DSSI and DSSII, Figure 11) it<br />
is clear that the two components move together.<br />
Probably it is a true physical double. It has not been<br />
possible to calculate the V magnitude for these stars<br />
because they don’t appear as independent in the<br />
2MASS catalog or elsewhere. However, we can obtain<br />
an approximation <strong>of</strong> the magnitude <strong>of</strong> the new component<br />
using the dM that resulted from the Reduc<br />
measurement <strong>of</strong> the system (dM=0.25) and the magnitude<br />
<strong>of</strong> the B component recorded in the WDS:<br />
14.70 + 0.25 = ~ 14.95.
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CRB 5<br />
In the vicinity <strong>of</strong> the system ES 23AC I found a<br />
couple <strong>of</strong> stars that are moving rapidly in the same<br />
direction in view <strong>of</strong> the proper motions reflecting Simbad<br />
in the plates POSSI and POSSII from Aladin (see<br />
Figure 12). Given that the proper motion was so obvious<br />
I decided to dedicate some time researching the<br />
data I could obtain on the system.<br />
They are at the following coordinates:<br />
A = 19 50 18.288 +45 09 58.17<br />
(2MASS J195001828+4509581)<br />
B = 19 50 17.967 +45 09 59.44<br />
(2MASS J195001796+4509594)<br />
Figure 10: CCD image obtained by author with his<br />
usual equipment at the “Observatorio Cerro del Viento”.<br />
Unfortunately, these two stars are very faint. I<br />
could only find photometric references in GSC2.3 and<br />
CMC-14 catalogues which, however, only show the<br />
value <strong>of</strong> the A component: 17.79 (V) and 17.63<br />
(r'mag), respectively. It is quite probable that both<br />
measures reflect, in fact, the brightness <strong>of</strong> the two<br />
components together. In the absence <strong>of</strong> references in<br />
the UCAC3, I have found quite impossible to estimate<br />
the their V magnitudes. Therefore, and in a preliminary<br />
way, I decided to indicate in the Table 1 (column<br />
<strong>of</strong> magnitude values) the same magnitude for both<br />
components, using the value which appears for the A<br />
Figure 11: RGB composition from Aladin with DSSI and DSSII<br />
images showing the common proper motion <strong>of</strong> the B and C<br />
components <strong>of</strong> the system.<br />
Figure 12: Aladin image showing the POSSII plate <strong>of</strong> ES<br />
23 area and the localization <strong>of</strong> the new common proper<br />
motion pair.
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Table 6: Proper motions <strong>of</strong> the new system<br />
CRB 2AC (Lepine&Shara, 2005)<br />
pM AR<br />
pM Dec<br />
A 47 138<br />
B 47 138<br />
Table 7: JHK Photometry (2MASS).<br />
images covering a time span <strong>of</strong> half a century, he corroborates<br />
these motions.<br />
All these data should be taken with caution until<br />
we develop a more detailed and conclusive study <strong>of</strong><br />
this system that, is very possibly real binary system.<br />
In this regard, with the invaluable assistance <strong>of</strong> Francisco<br />
M. Rica Romero, I will conduct a thorough study<br />
<strong>of</strong> the new system in which we will obtain detailed<br />
images <strong>of</strong> the BVRI photometry with the IAC-80 telescope<br />
<strong>of</strong> the Instituto de Astr<strong>of</strong>isica de Canarias<br />
(IAC).<br />
CRB 6<br />
Near the system ES 2514 (in Cygnus), I found two<br />
relatively nearby stars that seemed to share a common<br />
proper motion. After consulting the PPMXL<br />
catalog, my intuition was confirmed by their having<br />
similar proper motion values (Table 8, Figure 14).<br />
They are located at the following coordinates:<br />
J H K<br />
A 15.205 14.568 14.306<br />
B 15.332 14.845 14.505<br />
A = 20 45 45.778 +36 58 20.14<br />
B = 20 45 45.370 +36 58 29.86<br />
They are separate, therefore, by 10.85" with a position<br />
angle <strong>of</strong> 155.9°. The GSC2.3 catalog shows a V<br />
magnitude for both components <strong>of</strong> 16.16 and 16.30,<br />
respectively.<br />
JHK photometry has shown identical spectral<br />
classes: A = M0.5V/K4III and B = M0.5V/K4III (Table<br />
9), and reinforcing the possibility that they may have<br />
a true physical nature. Anyway, like the previous one,<br />
it’s requires a more detailed and conclusive study to<br />
determine its exact nature.<br />
Figure 13: Cuts from POSSI (left) and POSSII (right) plates<br />
where it can be seen the faint components <strong>of</strong> this common<br />
proper motion pair.<br />
component in the GSC2.3 catalog.<br />
I believe that I found the JHK photometry <strong>of</strong> both<br />
components in the 2MASS and it can be seen in Table<br />
7. Using these data, I preliminarily calculated, following<br />
the methodology developed by Francisco M. Rica<br />
Romero, spectral classes that shows that both components<br />
are similar: A = M2.5V/K5III and B = M4V/<br />
K4III.<br />
The data concerning proper motions are more illuminating.<br />
Fortunately, these two stars were measured<br />
in a much broader project that was developed<br />
some years ago (Lepine and Shara, 2005). In view <strong>of</strong><br />
these data, which are those that are represented in<br />
red vectors <strong>of</strong> the Image 12 (Simbad), these two stars<br />
share a common proper motion (Table 6). However, it<br />
remains unpublished in the WDS or in the CCDM.<br />
Francisco M. Rica Romero has done an initial analysis<br />
to assess the quality <strong>of</strong> such measures, and, using<br />
Table 8: Proper motions <strong>of</strong> the new system<br />
CRB 6 (PPMXL).<br />
pM AR<br />
pM Dec<br />
A -48.7 -39.3<br />
B -54.4 -41.9<br />
Table 9: JHK Photometry (2MASS).<br />
J H K<br />
A 13.287 16.675 12.461<br />
B 13.029 12.435 12.213
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CRB 7Ca,Cb<br />
This is a new component <strong>of</strong> the system ES 1102<br />
(in Cygnus). The component C proved to be a close<br />
couple. Their separation is almost in the limit <strong>of</strong> the<br />
resolution <strong>of</strong> the equipment I work with (Figure 15),<br />
so I contacted the well-known Madrilenian astrophotographer<br />
Miguel Angel Garcia , who operates a remote<br />
telescope <strong>of</strong> 35 cm at focal length <strong>of</strong> 2720 mm<br />
with a CCD STL1100 in OAR-SPAG observatory<br />
(Figure 17), located in the heart <strong>of</strong> Monfrague National<br />
Park (Cáceres). Responding to my call, he obtained<br />
a series <strong>of</strong> images using adaptive optics in<br />
which we could accurately measure those components<br />
and also obtain a beautiful view <strong>of</strong> the new system<br />
(Figure 16). Their separation is 1.62" at 109.5°. Given<br />
their closeness, the components do not appear resolved<br />
in the pr<strong>of</strong>essional catalogs, making it quite<br />
impossible to calculate proper motions and magnitudes.<br />
The WDS indicates a magnitude = 13 for the C<br />
component.<br />
Figura 16: At the request <strong>of</strong> the author, this CCD image<br />
was obtained by Miguel Ángel García with his remotecontrolled<br />
observatory OAR-SPAG in Monfragüe National<br />
Park (Cáceres): 35 cm. telescope at 2720 mm. <strong>of</strong><br />
focal distance. Here the Ca, Cb system is clearly resolved.<br />
Figure 15: CCD image <strong>of</strong> the system ES 1102 obtained by the<br />
author with his equipment (8” telescope at focal distance <strong>of</strong><br />
1920 mm.). All the components <strong>of</strong> Espin’s system can be<br />
observed. The C star is also double (see Figure 16), as evidenced<br />
by its elongated shape.<br />
Figure 17: Remote Astronomical Observatory OAR-SPAG<br />
(Monfragüe) in which Miguel Ángel García (pictured) obtained<br />
the images that confirmed the presence <strong>of</strong> a faint star near<br />
the C component <strong>of</strong> ES 1102.<br />
(Continued on page 120)
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Table 10: A photographic atlas <strong>of</strong> selected Espin's doubles.<br />
1: ES 2545 2: ES 2364 3: ES 1132<br />
4: ES 270BC 5: ES 458AC 6: ES 2553<br />
7: ES 2146AC 8: ES 875 9: ES 1881<br />
10: ES 2560 11: ES 1778 12: ES 1067
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13: ES 2562AB 14: ES 2466 15: ES 959<br />
16: ES 1231AC 17: ES 1866 18: ES 1626<br />
19: ES 1232AB AC 20: ES 1730 21: ES 287<br />
22: ES 1075 23: ES 2098BC 24: ES 2621AH
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13: ES 2562AB 14: ES 2466 15: ES 959<br />
16: ES 1231AC 17: ES 1866 18: ES 1626<br />
19: ES 1232AB AC 20: ES 1730 21: ES 287<br />
22: ES 1075 23: ES 2098BC 24: ES 2621AH
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25: 1240AC 26: ES 1081AC 27: ES 418<br />
28: ES 1537 29: ES 905 30: ES 70BC<br />
31: ES 1899 32: ES 2661BC 33: ES 1837<br />
34: ES 2172 35: ES 2420AB 36: ES 2020
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37: ES 2021AC 38: ES 2287 39: ES 1841<br />
40: ES 2233BC 41: ES 1428BC 42: ES 2032<br />
43: ES 1914 44: ES 1662 45: ES 1432CD<br />
46: ES 1663AB 47: ES 2420AB 48: ES 2040AC
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49: ES 2369 50: ES 2241AB BC BD 51: ES 655BC<br />
52: ES 491AB 53: ES 656AC CD 54: ES 1668<br />
55: ES 1435 56: ES 1917 57: ES 354<br />
58: ES 1565BC 59: 84AB AC BC 60: ES 23AC
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61: ES 2371CD 62: ES 2427AB 63: ES 2114<br />
64: ES 2428AB 65: ES 2300 66: ES 2118AB<br />
67: ES 1851 68: ES 85AD 69: ES 1853<br />
70: ES 2511 71: ES 2514 72: ES 2259
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73: ES 2124 74: ES 1102BC CD 75: ES 2127<br />
76: ES 856 77: ES 2078 78: ES 2001<br />
(Continued from page 112)<br />
Acknowledgements<br />
The author <strong>of</strong> this article would like to acknowledge<br />
the assistance provided all the time by the great<br />
Spanish specialist in double stars, my great friend<br />
and colleague, Rafael Benavides Palencia. In addition<br />
to his continuing assistance, his CCD camera has<br />
given, and continues to provide, an excellent service<br />
at the Observatorio Cerro del Viento.<br />
In the same way, I’d like to thank Francisco M.<br />
Rica Romero for his advice on certain astrophysical<br />
data without which it would have been impossible to<br />
reach certain conclusions about the systems studied.<br />
Likewise, I wish to thank Ignacio Novalbos Cantador<br />
for his advice and guidance while I was studying<br />
some systems.<br />
Also to Miguel Ángel García, from Observatorio<br />
OAR-SPAG (Monfragüe, Cáceres, Spain) for his help<br />
in obtaining images <strong>of</strong> the new system CRB 6Ca,Cb.<br />
Without them I would not have been able to determine<br />
the double nature <strong>of</strong> the C component <strong>of</strong> the system<br />
Es 1102.<br />
Of course, many thanks to Florent Losse for developing<br />
a s<strong>of</strong>tware as powerful as Reduc. Without it<br />
many <strong>of</strong> the doubles here measured could not have<br />
been published.<br />
To Dr. Brian D. Mason, from the United States<br />
Naval Observatory, for giving me the list <strong>of</strong> neglected<br />
double stars <strong>of</strong> Thomas Espin.<br />
With regard to biographical and bibliographical<br />
information about Espin, I have been fortunate to<br />
have a number <strong>of</strong> privileged contacts that have<br />
helped me to be aware <strong>of</strong> a more detailed knowledge<br />
<strong>of</strong> our subject’s life. For this, I want to express my<br />
deepest gratitude to Mr. Simon Murray and Mr.<br />
David Hughes from the Newcastle Astronomical Society;<br />
to Pr<strong>of</strong>essor F. Richard Stephenson and to Mrs.<br />
Pauline Russell, both from the University <strong>of</strong> Durham,<br />
for their graphic documents; to Mrs. Carol Harris,<br />
from the Library <strong>of</strong> that University, for their kind<br />
donation <strong>of</strong> a detailed and unpublished biography <strong>of</strong>
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Espin; and to Mr. Graham Espin for certain information<br />
published in some old English newspapers.<br />
Thank you very much for making easier my documentation<br />
<strong>of</strong> our beloved Thomas Espin. I hope this research,<br />
and the future ones I’ll write, serves to remember<br />
in the 21 st century the hard work that a<br />
humble vicar developed in the solitude <strong>of</strong> his observatory<br />
in the moorlands <strong>of</strong> Tow Law.<br />
I would also like to acknowledge the assistance <strong>of</strong><br />
my colleagues, members <strong>of</strong> the Department <strong>of</strong> English<br />
Language <strong>of</strong> the I.E.S. Ciudad Jardín (Badajoz), when<br />
reviewing the English version <strong>of</strong> this work. Thanks<br />
Alfonso, Jane, María, Montaña and Reme.<br />
And, <strong>of</strong> course, to Guadalupe and Lucía for their<br />
infinite patience and understanding <strong>of</strong> a husband and<br />
father with his head always in the heavens.<br />
In this research I used Aladin and VizieR from<br />
CDS in Strasbourg, as well as the pr<strong>of</strong>essional catalogs<br />
available through them.<br />
References<br />
AA.VV., 1992, The <strong>Star</strong>gazer <strong>of</strong> Tow Law (foreword by<br />
Patrick More). Published by Tow Law Local History<br />
Group. Durham.<br />
Bonnarel, F. et al, 2000, The ALADIN interactive sky<br />
atlas. A reference tool for identification <strong>of</strong> astronomical<br />
sources, Astron. Astrophys. Suppl. Ser.<br />
Vol. 143, Number 1, 33-40.<br />
Brown, A., 1974, The life and work <strong>of</strong> Revd. T. H. E.<br />
C. Espin, perpetual curate <strong>of</strong> Tow Law, with special<br />
reference to his astronomical research. Unpublished<br />
Thesis presented in the University <strong>of</strong><br />
Durham.<br />
Castellano, J., 2006, S<strong>of</strong>tware “Dobles”. Available at:<br />
http://astrosurf.com/cometas-obs/ArtS<strong>of</strong>tUtil/<br />
S<strong>of</strong>tware.html.<br />
Centre de Donées Astronomiques de Strasbourg, 1993<br />
-2011, Vizier Service. Available at : http://<br />
webviz.u-strasbg.fr/viz-bin/VizieR.<br />
Centre de Donées Astronomiques de Strasbourg, 1999<br />
-2011, Aladin Sky Atlas. Available at : http://<br />
aladin.u-strasbg.fr/.<br />
Comellas, J.L., 1988, Catálgo de estrellas dobles visuales.<br />
Ed. Equipo Sirius. Madrid.<br />
González Carballo, J. L., 2011, Espin: una vida de<br />
pasión astronómica, OED 6, 46-54.<br />
Lepine, S. and Shara, M. M., 2005, A catalog <strong>of</strong> northern<br />
stars with annual proper motions larger than<br />
02.15 (LSPM-NORTH catalog), Astron. J., 129,<br />
1483-1522.<br />
Losse F., 2001-2011, Reduc S<strong>of</strong>tware. Mailware available<br />
at: http://astrosurf.com/hfosaf/index.htm.<br />
Mason, B.D. et al., The Washington <strong>Double</strong> <strong>Star</strong> Catalog<br />
(WDS) 2006.5, U.S. Naval Observatory.<br />
Pavlov, H., 2009, Deriving a V magnitude from<br />
UCAC3, http://www.hristopavlov.net/Articles/ index.html<br />
Raab, H., 1993-2011, S<strong>of</strong>tware Astrometrica. Available<br />
at: http://www.astrometrica.at.<br />
Roeser, S. et al., 2008, PPMX Catalog <strong>of</strong> positions and<br />
proper motions, A&A, 488, 401.<br />
Zacharias, N. et al., 2010, The Third U.S. Naval Observatory<br />
CCD Astrograph Catalog (UCAC3), AJ<br />
139-2184.<br />
Juan-Luis G. Carballo is pr<strong>of</strong>essor <strong>of</strong> Geography and History. His two great astronomical passions<br />
are double and variable stars. He observes from an urban observatory located in Badajoz, Spain,<br />
and is co-editor <strong>of</strong> the Spanish journal “El Observador de Estrellas Dobles” (OED). He maintains the<br />
blog “La Décima Esfera” (http://ladecimaesfera.blogspot.com), devoted to his astronomical works.
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<strong>Observations</strong>, Analysis, and Orbital Calculation<br />
<strong>of</strong> the Visual <strong>Double</strong> <strong>Star</strong> STTA 123 AB<br />
Nicholas J. Brashear 1 , Angel J. Camama 1 , Miles A. Drake 1 , Miranda E. Smith 1 ,<br />
Jolyon M. Johnson 2 , Dave Arnold 3 , and Rebecca Chamberlain 1 .<br />
1. Evergreen State College, Olympia, Washington<br />
2. University <strong>of</strong> California, Chico<br />
3. Divinus Lux Observatory, Flagstaff, Arizona<br />
Abstract: As part <strong>of</strong> a research workshop at Pine Mountain Observatory, four students<br />
from Evergreen State College met with an instructor and an experienced double star observer<br />
to learn the methods used to measure double stars and to contribute observations to<br />
the Washington <strong>Double</strong> <strong>Star</strong> (WDS) Catalog. The students then observed and analyzed the<br />
visual double star STTA 123 AB with few past observations in the WDS Catalog to determine<br />
if it is optical or binary in nature. The separation <strong>of</strong> this double star was found to be<br />
69.9” and its position angle to be 148.0°. Using the spectral types, stellar parallaxes, and<br />
proper motion vectors <strong>of</strong> these two stars, the students determined that this double star is<br />
likely physically bound by gravity in a binary system. Johnson calculated a preliminary circular<br />
orbit for the system using Newton's version <strong>of</strong> Kepler's third law. The masses <strong>of</strong> the<br />
two stars were estimated based on their spectral types (F0) to be 1.4 M. Their separation<br />
was estimated to be 316 AU based on their distance from Earth (about 216.5 light years)<br />
and their orbital period was estimated to be 3357 years. Arnold compared the observations<br />
made by the students to what would be predicted by the orbit calculation. A discrepancy <strong>of</strong><br />
14° was found in the position angle. The authors suggest that the orbit is both eccentric and<br />
inclined to our line <strong>of</strong> sight, making the observed position angle change less than predicted.<br />
Introduction<br />
This project was part <strong>of</strong> the 2010 Pine Mountain<br />
Observatory Summer Research Workshop. The students<br />
chose to study double stars because the concepts<br />
are relatively straight forward and they <strong>of</strong>fer<br />
swift publication opportunities (Johnson 2008). <strong>Double</strong><br />
star observations also have a long legacy, drawing<br />
from a large pool <strong>of</strong> individual contributors over<br />
the course <strong>of</strong> hundreds <strong>of</strong> years. The students from<br />
Evergreen State College—a school whose ethos is<br />
founded on cooperative learning—believed it was in<br />
their interest to participate in these ongoing collaborations.<br />
The aim <strong>of</strong> this project was three fold: to contribute<br />
observations <strong>of</strong> double stars to the Washington<br />
<strong>Double</strong> <strong>Star</strong> (WDS) Catalog, to learn the procedure<br />
for double star observation, and to study a dou-<br />
Figure 1: Left to right: Jo Johnson, Nick Brashear, Angel<br />
Camama, Miles Drake, Miranda Smith. The Nex<strong>Star</strong> 6 SE<br />
telescope used in the project is in the center.
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ble star to determine whether it is optical or binary. If<br />
the double star was found to be binary, the participants<br />
would calculate a rough orbit.<br />
The participants employed an equatorial-mounted<br />
Celestron Nex<strong>Star</strong> 6 SE telescope, which was fitted<br />
with an illuminated Celestron Micro Guide eyepiece.<br />
A digital stopwatch that read out to the nearest 0.01<br />
seconds was used to find the scale constant <strong>of</strong> the linear<br />
scale in the eyepiece. All observations were made<br />
at Pine Mountain Observatory near Bend, Oregon on<br />
the nights <strong>of</strong> August 5 and 6, 2010 (B2010.594).<br />
Methods<br />
The participants polar aligned the telescope. The<br />
linear scale in the Micro Guide eyepiece was calibrated<br />
by observing the star Navi in the constellation<br />
Cassiopeia. Navi was selected for its reasonable<br />
brightness and favorable declination (60.717º). <strong>Star</strong>s<br />
with declinations above 70° move too slowly and stars<br />
below 45° move too quickly. The observers allowed<br />
Navi to drift down the linear scale by disabling the<br />
tracking motors. Ten drifts were timed with a stopwatch<br />
and the standard deviation and standard error<br />
<strong>of</strong> the mean were calculated.<br />
The scale constant was calculated by multiplying<br />
the average time (101.99 seconds) by the sidereal rate<br />
<strong>of</strong> the Earth's rotation (15.0411 arc seconds per second)<br />
and the cosine <strong>of</strong> the declination. This was then<br />
divided by the number <strong>of</strong> divisions on the linear scale<br />
(60). This equation yielded a scale constant <strong>of</strong> 12.50<br />
arc seconds per division. The standard deviation and<br />
standard error <strong>of</strong> the mean <strong>of</strong> these results were calculated<br />
to be 1.1 and 0.3 arc seconds per division, respectively.<br />
The angular separation between the primary and<br />
secondary stars was determined by carefully orienting<br />
the telescope so that one <strong>of</strong> the major divisions <strong>of</strong> the<br />
linear scale was between the two stars. The distance<br />
from the major division to each <strong>of</strong> the stars was estimated<br />
in minor divisions to one tenth <strong>of</strong> a minor division.<br />
Ten trials were performed (one <strong>of</strong> them was discarded<br />
as an outlier). The average, standard deviation,<br />
and standard error <strong>of</strong> the mean were calculated.<br />
The second parameter <strong>of</strong> double star measurement<br />
is the position angle, the angle that the primary<br />
and secondary stars make relative to celestial north.<br />
The observers chose to use the drift method as it is<br />
the most precise without adding an external protractor<br />
(Baxter 2010). This was carefully done by aligning<br />
the primary star, using the slow motion controls, with<br />
the central division <strong>of</strong> the linear scale while telescope<br />
tracking was active. Once the star was aligned with<br />
the center <strong>of</strong> the linear scale, the telescope's automatic<br />
tracking was disabled. The primary star then<br />
drifted across the inner protractor built into the eyepiece.<br />
The angle the star crossed was noted and recorded.<br />
An angle <strong>of</strong> 90° had to be added for the Celestron<br />
Micro Guide eyepiece correction (Teague<br />
2004). Position angle measurements were repeated<br />
five times for the first double star (61 Cyg) and ten<br />
times for the second (STF 123AB). <strong>Observations</strong> were<br />
limited by smoke from a nearby fire which obscured<br />
the stars.<br />
<strong>Observations</strong><br />
The observers first selected a well known double<br />
star, 61 Cygni (STF 2758 AB), to learn the measurement<br />
methods. Table 1 gives the observational results.<br />
Table 1: Average, standard deviation, and standard<br />
error <strong>of</strong> the mean for the observed separation and position<br />
angle <strong>of</strong> 61 Cygni.<br />
Separation Position Angle<br />
Average 32.2” 151.4°<br />
Standard Deviation 2.1” 1.5°<br />
Mean Error 0.7” 0.4°<br />
The WDS Catalog's last entry for the separation<br />
<strong>of</strong> STF 2758 AB is 30.7”, while the observed average<br />
separation was 32.2”. Our percent error for the average<br />
separation was 4.9%, which is within one standard<br />
deviation. The authors attribute the large standard<br />
deviation and large difference from the catalog<br />
value to poor sky conditions due to nearby wildfire<br />
which increased scintillation. The WDS Catalog's entry<br />
for the position angle is 152.0°, while the observed<br />
position angle was 151.4°. The percent error for the<br />
position angle was 1.39% which is also within one<br />
standard deviation. These results can be considered<br />
accurate according to Ron Tanguay, an experienced<br />
double star observer, who stated that a difference <strong>of</strong><br />
5% between observed and catalog values is adequate<br />
(Tanguay 1998, 2003).<br />
Based on the results from the first star, the observers<br />
felt confident enough to measure a less studied<br />
double star. Johnson selected the double star<br />
STTA 123 AB (RA: 13h 27m 04s Dec: +64° 44m 07s)<br />
because it fit the criteria <strong>of</strong> being bright enough<br />
(magnitude 7 or less) to be easily seen through a<br />
small telescope and had similar proper motion vec-
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tors, suggesting the pair may be a binary. Table 2<br />
presents the observational results.<br />
Table 2: Average, standard deviation, and standard error<br />
<strong>of</strong> the mean for the observed separation and position angle<br />
<strong>of</strong> 61 STTA 123 AB.<br />
The WDS Catalog's entry for the separation <strong>of</strong><br />
STTA 123 AB was 68.9”, while the observed average<br />
separation was 69.9”. Our percent error for the average<br />
separation is 1.5% and within one standard deviation.<br />
The WDS Catalog's entry for the position angle<br />
is 147.0°, while the observed position angle was<br />
148.0°. The percent error for the position angle is<br />
0.7% and also within one standard deviation. We attribute<br />
the greater accuracy to the observers being<br />
more experienced and clearer sky conditions.<br />
Analysis<br />
Separation<br />
Position Angle<br />
Average 69.9” 148.0°<br />
Standard Deviation 1.8” 1.4°<br />
Mean Error 0.6” 0.4°<br />
Our primary goal for this project was to determine<br />
if a less studied double star (STTA 123 AB) is<br />
optical or binary in nature. We analyzed three <strong>of</strong> the<br />
properties <strong>of</strong> the two stars to determine if they were<br />
gravitationally bound: spectral type, stellar parallax,<br />
and proper motion vectors. To find these properties,<br />
the participants found both stars' HD designations in<br />
the SIMBAD database. The primary star's designation<br />
is HD 117200 and the secondary star's designation<br />
is HD 117201.<br />
If the spectral types <strong>of</strong> the two stars in a binary<br />
system are significantly different, the more luminous<br />
star should have a lower apparent magnitude. However,<br />
if the spectral type is the same, the apparent<br />
magnitude should be similar. The spectral type <strong>of</strong> the<br />
primary star is F0 and its magnitude is 6.6. The spectral<br />
type <strong>of</strong> the secondary star is also F0 and its magnitude<br />
is 7.0. Since the stars have the same spectral<br />
type and the difference in magnitude is only 0.4, the<br />
stars are probably a similar distance away from<br />
Earth.<br />
To quantify this observation, the students used<br />
stellar parallaxes to calculate the distance to each<br />
star in light years. The distance to a star in parsecs is<br />
equal to the reciprocal <strong>of</strong> the parallax in arc seconds.<br />
The distance in parsecs is multiplied by 3.26156 (the<br />
number <strong>of</strong> light years in a parsec) to find the distance<br />
in light years. The parallax for the primary star is<br />
0.01483” ± 0.00055”. This corresponds to a distance <strong>of</strong><br />
220 light years. The parallax <strong>of</strong> the secondary star is<br />
0.01530” ± 0.00059”. This corresponds to a distance <strong>of</strong><br />
213 light years. The minimum distance to the primary<br />
star is 212 light years and the maximum distance<br />
to the secondary star is 222 light years. Therefore,<br />
the difference between these two distances is<br />
well within the parallax errors.<br />
It is most likely that a double star is binary if the<br />
proper motion vectors <strong>of</strong> the two stars are within 10%<br />
<strong>of</strong> each other (Arnold 2010). Table 3 shows the proper<br />
motion vectors for the primary and secondary stars.<br />
The difference between the proper motion vectors <strong>of</strong><br />
the primary and secondary is 2.9%.<br />
Table 3: Proper Motion Vectors for STTA 123 AB.<br />
Preliminary Orbit Calculation<br />
Because the separation and position angle have<br />
not changed significantly since the first observation<br />
in 1876, a circular orbit could be assumed. The<br />
masses <strong>of</strong> the two stars in solar masses (M1 and M2),<br />
their separation in astronomical units (A), and their<br />
period in years (P) can be calculated using Newton's<br />
modification <strong>of</strong> Kepler's third law:<br />
M1 + M2 = A 3 /P 2<br />
1.4 +1.4 = 316 3 / P 2<br />
Right Ascension<br />
(mas/yr)<br />
Declination<br />
(mas/yr)<br />
Primary <strong>Star</strong> -68.76 35.16<br />
Secondary <strong>Star</strong> -69.74 34.62<br />
Since both stars have the spectral type F0, their<br />
masses can be estimated to be 1.4 M based on the<br />
Hertzsprung-Russell diagram. This can only be done<br />
if the stars are on the main sequence where there is a<br />
strong correlation <strong>of</strong> luminosity and mass. If both<br />
stars are assumed to be the same distance from<br />
Earth, the distance between the two stars can be calculated<br />
by dividing the cosine <strong>of</strong> the separation in degrees<br />
(0.00319°) by the mean distance to the stars<br />
(216.5 light years). This equates to a separation <strong>of</strong><br />
about 0.005 light years (316 AU). The equation yields<br />
a period <strong>of</strong> about 3357 years. This long orbit is ex-
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pected as the separation and position angle appear to<br />
have changed little since the double star was first observed<br />
in 1876. The first reported separation was<br />
68.9” and the first reported position angle was 147°,<br />
both within the standard deviation <strong>of</strong> the present<br />
study.<br />
However, the similarity between the first observations<br />
and present observations are slightly suspect.<br />
Even with such a large orbit, a shift <strong>of</strong> at least 14°<br />
should have been seen in the last 134 years if the orbital<br />
plane is oriented at 90° to our line <strong>of</strong> sight. If the<br />
1° shift in position angle is real, the orbit should be on<br />
the order <strong>of</strong> 48,000 years which is inconsistent with<br />
the calculated distance between them. Thus, the authors<br />
<strong>of</strong>fer four suggestions to account for the discrepancy<br />
between the observed and calculated position<br />
angles: 1) The secondary star has actually been<br />
ejected from the system and is now moving linearly<br />
away from the primary such that there should be no<br />
significant shift in position angle; 2) The orbital plane<br />
has a minimal inclination to our line <strong>of</strong> sight and the<br />
secondary star is moving either toward Earth or away<br />
from Earth relative to the primary; 3) The orbit is not<br />
circular and the secondary is near greatest elongation<br />
from the primary; or 4) The orbit is both inclined and<br />
eccentric.<br />
According to double star observer Paul Couteau<br />
(1981), an eccentricity correction factor <strong>of</strong> 1.25 can be<br />
applied to most binary star systems to account for<br />
elongated orbits. For STTA 123 AB, this would equate<br />
to a semi-major axis <strong>of</strong> 395 AU and a period <strong>of</strong> 4691<br />
years. However, a change in position angle <strong>of</strong> at least<br />
10° would still be expected over 134 years. Thus, the<br />
authors believe the orbit is also inclined to our line <strong>of</strong><br />
sight, decreasing the expected change in position angle.<br />
Future researchers may determine the true eccentricity<br />
and inclination <strong>of</strong> the orbit.<br />
Conclusions<br />
The participants analyzed a double star to determine<br />
if it is likely to be an optical or binary pair. Because<br />
the stars have similar apparent magnitudes<br />
and spectral types, they are probably a similar distance<br />
from Earth. To confirm that this is likely, the<br />
participants calculated the distances to the stars using<br />
stellar parallaxes obtained from the SIMBAD database.<br />
The difference in the calculated distances<br />
were within the error <strong>of</strong> the stellar parallaxes. Furthermore,<br />
the proper motion vectors <strong>of</strong> the two stars<br />
are similar enough to suggest they are moving<br />
through space together. Thus, the participants conclude<br />
that the double star STTA 123 AB is likely a<br />
binary system.<br />
Johnson then calculated a preliminary circular<br />
orbit and determined the masses <strong>of</strong> the two stars<br />
along with their separation in astronomical units and<br />
period in years. Currently, STTA 123 AB only has 23<br />
reported observations in the WDS Catalog. Because<br />
the system is likely binary, it is deserving <strong>of</strong> further<br />
study to resolve its orbit.<br />
Arnold then studied the calculated orbit and predicted<br />
what the observations should be. A discrepancy<br />
was found in that the position angle should have<br />
shifted by at least 14°, yet it has not significantly<br />
changed. The authors suggest that the orbit is eccentric<br />
and inclined to our line <strong>of</strong> sight such that the position<br />
angle has not significantly changed. This would<br />
make the orbit a level 5 according to the Sky Catalog<br />
2000 description where this is a rough or preliminary<br />
orbit that may be useful to future researchers. Alternatively,<br />
there is a chance that the stars are very<br />
close together in space but are not in a binary system<br />
and future observers will see linear motion.<br />
Over the course <strong>of</strong> the three day workshop, the<br />
students took quantitative measurements <strong>of</strong> two double<br />
stars, one well known and one much less known.<br />
The students also calculated the average, standard<br />
deviation, and standard error <strong>of</strong> the mean, and included<br />
their observations in a scientific paper.<br />
Through this process, the observers learned a technique<br />
for measuring double stars with an astrometric<br />
eyepiece. What they learned can be taken back to Evergreen<br />
State College and taught to other students.<br />
Acknowledgments<br />
The authors would like to thank the University <strong>of</strong><br />
Oregon's Pine Mountain Observatory for the use <strong>of</strong><br />
their facilities and Richard Berry for directing the<br />
workshop. The authors would also like to thank the<br />
Evergreen State College for <strong>of</strong>fering the program<br />
which allowed the students this opportunity. The authors<br />
thank Russ Genet for the use <strong>of</strong> his Nex<strong>Star</strong> 6<br />
SE. Finally, the authors thank Tom Frey, Chris<br />
Estrada, Russ Genet, and Vera Wallen for their kind<br />
reviews <strong>of</strong> this paper.<br />
References<br />
Arnold, Dave. “Considering Proper Motion in the<br />
Analysis <strong>of</strong> Visual <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>.” In<br />
Small Telescopes and Astronomical Research.<br />
(2010). Eds. Russ Genet, Jolyon Johnson, and
Vol. 8 No. 2 April 1, 2012<br />
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Page 126<br />
<strong>Observations</strong>, Analysis, and Orbital Calculation <strong>of</strong> the Visual <strong>Double</strong> <strong>Star</strong> STTA 123 AB<br />
Vera Wallen. Santa Margarita, CA: Collins Foundation<br />
Press.<br />
Baxter, Alexandra, Jolyon Johnson, Russell Genet,<br />
Chris Estrada, and Danyal Medley. “Comparison<br />
<strong>of</strong> Two Methods <strong>of</strong> Determining the Position Angle<br />
<strong>of</strong> the Visual <strong>Double</strong> <strong>Star</strong> 61 Cygni with a Celestron<br />
Micro Guide Eyepiece.” <strong>Journal</strong> <strong>of</strong> <strong>Double</strong><br />
<strong>Star</strong> <strong>Observations</strong>. Submitted.<br />
Couteau, Paul. Observing Visual <strong>Double</strong> <strong>Star</strong>s. (1981).<br />
Massachusetts Institute <strong>of</strong> Technology.<br />
Johnson, Jolyon. “<strong>Double</strong> <strong>Star</strong> Research as a Form <strong>of</strong><br />
Education for Community College and High<br />
School Students.” In Proceedings for the 27 th Annual<br />
Conference for the Society for Astronomical<br />
Sciences. (2008). Eds. Brian Warner, Jerry Foote,<br />
David Kenyon, and Dale Mais.<br />
Mason, Brian. The Washington <strong>Double</strong> <strong>Star</strong> Catalog.<br />
October 2008. Astrometry Department, U.S.<br />
Naval Observatory. http://ad.usno.navy.mil/wds/<br />
wds.html.<br />
Tanguay, Ronald. The <strong>Double</strong> <strong>Star</strong> Observer’s Handbook,<br />
Editions 1 & 2. Saugus, MA: <strong>Double</strong> <strong>Star</strong><br />
Observer, 1998 & 2003.<br />
SIMBAD Astronomical Database. Centre de Données<br />
Astronomiques de Strasbourg. August 6, 2010.<br />
http://simbad.u-strasbg.fr/simbad/.<br />
Teague, Tom. “Simple Techniques <strong>of</strong> Measurement.”<br />
In Observing and Measuring Visual <strong>Double</strong> <strong>Star</strong>s.<br />
(2004). Ed. Bob Argyle. London: Springer.<br />
Nick Brashear (major undeclared), Angel Camama (cognitive science and new media),<br />
Miles Drake (astronomy and writing), and Miranda Smith (international studies) are undergraduate<br />
students at Evergreen State College in Olympia, Washington. Jolyon Johnson<br />
is a geology student at California State University, Chico, and led the research team. Dave<br />
Arnold is an amateur astronomer and highly experienced double star observer in Flagstaff,<br />
Arizona. Rebecca Chamberlain is a pr<strong>of</strong>essor <strong>of</strong> science and humanities at Evergreen State<br />
College.
Vol. 8 No. 2 April 1, 2012<br />
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Page 127<br />
Orbital Elements for BU 741 AB, STF 333 AB,<br />
BU 920 and R 207<br />
Francisco Rica<br />
C/José Ruíz Azorín, 14, 4º D, 06800,<br />
Mérida, Spain<br />
Abstract: New orbital parameters and dynamical masses for WDS 02572-2458 (BU 741<br />
AB), WDS 02592+2120 (STF 333 AB), WDS 12158-2321 (BU 920) and WDS 12463-6806 (R<br />
207) were determined due to large residuals. The Thiele-van den Bos method was used to<br />
obtain initial orbits for all the binaries (except for STF 333 AB where the Docobo method<br />
was used). The initial orbital solutions were improved using the differential correction<br />
method <strong>of</strong> Heintz. The physical relation <strong>of</strong> wide components was studied using BVIJHK<br />
photometry, historical astrometry and kinematical data. A search for new unreported companions<br />
around the binaries was performed as well.<br />
Introduction<br />
As a result <strong>of</strong> part <strong>of</strong> the work on visual double<br />
stars carried our by the <strong>Double</strong> <strong>Star</strong> Section <strong>of</strong> Liga<br />
Iberoamericana de Astronomía (LIADA), I present<br />
orbital parameters and other data (residuals,<br />
ephemerides, masses, parallaxes, apparent orbits,<br />
etc.) for four visual binary systems: WDS 02572-2458<br />
(BU 741 AB), WDS 02592+2120 (STF 333 AB), WDS<br />
12158-2321 (BU 920) and WDS 12463-6806 (R 207).<br />
For all binaries, except STF 333 AB, initial orbits<br />
were calculated using the method <strong>of</strong> Thiele-van den<br />
Bos which were improved using the differential correction<br />
method <strong>of</strong> Heintz (1978a). For STF 333 AB,<br />
the analytical method <strong>of</strong> Docobo (1985) was used.<br />
Dynamical parallaxes were calculated using the<br />
Baize-Romaní algorithm (1946).<br />
The physical relation for wide components was<br />
studied using BVIJHK photometry, historical astrometry<br />
and kinematical data. The nature for these<br />
wide components was determined by the use <strong>of</strong> several<br />
criteria.<br />
Astrophysical properties for binaries were determined<br />
and discussed. All the orbits presented here<br />
have previously been announced in the Information<br />
Circular <strong>of</strong> IAU Commission 26 (hereafter IAUDS).<br />
Method <strong>of</strong> Orbital Calculation<br />
Before using any analytical method, θ was corrected<br />
for precession and proper motion. Theta and ρ<br />
were plotted against time which allows the detection<br />
<strong>of</strong> measures with important errors and quadrant<br />
problems. The measures with very large errors are<br />
assigned zero weight.<br />
Preliminary orbits were determined by the<br />
method <strong>of</strong> Thiele van den Bos. Three base points and<br />
a crude value <strong>of</strong> areal constant c are needed. I obtained<br />
a set <strong>of</strong> Keplerian orbits changing the initial<br />
value <strong>of</strong> the areal constant over a range <strong>of</strong> ±50 percent<br />
<strong>of</strong> the initial value <strong>of</strong> c. The apparent orbits for<br />
the set <strong>of</strong> orbits pass through the three given points.<br />
Only periodic orbits are taken into account. The step<br />
size and the search range for c are customizable.<br />
The orbit with minimum RMS residuals is retained.<br />
In the next iteration the search range and the<br />
step size are reduced and the areal constant is centered<br />
in the c value for the orbit retained. The process<br />
is repeated until the result for two iterations
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
doesn’t show a significant difference. Two or three<br />
iterations are sufficient for most <strong>of</strong> the binaries.<br />
The orbital elements <strong>of</strong> STF 333 were calculated<br />
using Docobo's analytical method (Docobo 1985). It is<br />
briefly summarized in Docobo et al. (2000) and<br />
Tamazian et al. (2002). This method is applicable<br />
even when only a relatively short and linear arc <strong>of</strong> the<br />
orbit has been measured. The advantage <strong>of</strong> this<br />
method, over other formal solutions, is that it does<br />
not require knowledge <strong>of</strong> the areal constant. A family<br />
<strong>of</strong> Keplerian orbits is generated whose apparent orbits<br />
pass through three base points. Simultaneously,<br />
O-C (observed minus calculated) residuals in both ρ<br />
and θ are determined for these orbits.<br />
The next step is to select the orbit with smallest<br />
weighted rms values for ρ and θ. Usually, the orbit<br />
with the smallest rms values in θ is not exactly the<br />
same as the orbit with the smallest rms values in ρ.<br />
In this case, I selected the orbit with minimum residuals<br />
calculated by the followed formula:<br />
n<br />
n<br />
2 2 2<br />
= wθi( i Δ i)<br />
+ wρiΔ<br />
i<br />
i= 1 i=<br />
1<br />
∑ ∑ (1)<br />
χ ρ θ ρ<br />
where w θ i and w ρ i are the weights for the i th θ<br />
and ρ measure. Δθ (expressed in radians) and Δρ are<br />
the O-C residuals for θ and ρ.<br />
If the set <strong>of</strong> Keplerian orbits shows a flat gradient<br />
for RMS, then some orbits are rejected by the comparison<br />
<strong>of</strong> the dynamic mass with those determined<br />
using spectral types.<br />
The three base points have to be chosen carefully<br />
where the observational data seems most reliable<br />
with respect to instrumentation, data density, or critical<br />
arc coverage. I also tried to cover as much <strong>of</strong> the<br />
observed arc as possible. This may let the area<br />
around a single observation represent a base point<br />
without additional observational coverage.<br />
Initial orbits were improved using the Heintz differential<br />
correction method (1978a).<br />
The initial weights were assigned using a data<br />
weighting scheme based on Hartkopf et al. (1989),<br />
Mason et al. (1999a), Seymour et al. (2002), and Docobo<br />
& Ling (2003). The initial θ weights were 5 times<br />
larger than ρ weights.<br />
After several iterations in the differential correction<br />
process the measures with residuals larger than<br />
3σ were assigned zero weight. Later the non-zero<br />
weight measures were reassigned following the work<br />
<strong>of</strong> Irwin et al. (1996).<br />
Results<br />
Table 1 lists, for each binary, the date <strong>of</strong> its discovery,<br />
the final orbital elements, the root mean<br />
squared (RMS) residuals and mean absolute residuals<br />
(MA) residuals. These are in both cases weighted averages<br />
calculated using the data-weighting scheme<br />
described in earlier.<br />
The a 3 /P 2 values are also listed. Errors for the<br />
elements were calculated from the covariance matrix<br />
and the residuals to all observations.<br />
Table 2 presents ephemerides for the period 2012-<br />
2021. Table 3 lists the stellar data for the system<br />
studied. The WDS magnitudes in columns (3) and (4)<br />
and WDS spectral types in column (5); in column (6),<br />
the dynamical parallaxes calculated therefrom using<br />
the orbital periods and semimajor axes obtained in<br />
this work; in columns (7) and (8) the apparent magnitudes<br />
published in the Hipparcos and Tycho catalogs<br />
(ESA 1997) and in column (9) the corresponding trigonometric<br />
parallaxes (with their standard errors) from<br />
the re-reduced Hipparcos parallax (Leeuwen 2007); in<br />
column (10) the total mass <strong>of</strong> the binary (± estimated<br />
standard error), as calculated from the Hipparcos parallax.<br />
Figures 1-4 show the new apparent orbits drawn<br />
together with the observational data; the x and y<br />
scales are in arcseconds. The solid curve represents<br />
the newly determined orbit, while the dashed curve<br />
represents the previous orbit. The line passing<br />
through the origin indicates the line <strong>of</strong> nodes. Speckle<br />
measures are shown as filled squares, visual interferometric<br />
observations are showed as open circles, visual<br />
measures as plus signs, and measures from the<br />
ESA Hipparcos instrument are indicated as a red<br />
empty square. The rejected observations are shown as<br />
red points. All measures are connected to their predicted<br />
positions on the new orbit by O - C lines.<br />
Notes for Same Systems<br />
In the next section, photometric, astrometric,<br />
spectroscopy and kinematical data are analyzed.<br />
Spectral types and luminosity classes, masses and<br />
dynamical parallaxes are obtained. The dynamical<br />
parallax was calculated using the Baize-Romani<br />
method (Baize & Romaní 1946).<br />
A kinematical study was performed to determine<br />
the stellar age. From galactocentric velocity (U, V, W),<br />
I use the Eggen (1969a, 1969b) and Chiba & Beers<br />
(2000) diagrams the kinematic age parameter <strong>of</strong><br />
(Continued on page 130)
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Page 129<br />
Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
Name<br />
WDS<br />
ADS<br />
HIP<br />
BU 741 AB<br />
02572-2458<br />
2242<br />
18455<br />
STF 333 AB<br />
02592+2120<br />
2257<br />
13914<br />
R 207<br />
12463-6806<br />
62322<br />
BU 920<br />
12158-2321<br />
8481<br />
59801<br />
Disc. date 1879.70 1827.16 1880.34 1879.57<br />
P [years] 149.89±4.48 1215.913±1.540 194.276±2.65 873.041±25.251<br />
T [years] 1870.68±4.22 704.111±1.778 1857.504±3.79 1764.260±6.576<br />
e 0.602±0.016 0.317±0.006 0.598±0.057 0.166±0.026<br />
a ["] 1.425±0.077 2.174±0.035 0.969±0.068 2.012±0.137<br />
i [º] 83.0±0.2 84.2±0.8 37.1±6.5 63.5±3.9<br />
ω [ º ] 260.8±1.6 162.1±1.0 209.0±4.1 28.0±3.6<br />
Ω [ º ] 163.5±0.5 25.6±0.7 349.4±4.2 142.2±3.7<br />
Residuals:<br />
Table 1: Orbital parameters, parallaxes, and residuals.<br />
RMS(θ)[ º ] 1.06 0.99 1.62 2.19<br />
RMS(ρ)[ “] 0.021 0.042 0.13 0.058<br />
MA(θ)[ º ] 0.64 0.63 1.14 1.46<br />
MA(ρ)[ " ] 0.009 0.021 0.077 0.034<br />
a 3 /P 2 [arcsec 3 *yr -2 ] 9.03813*10 -5 3.196790*10 -6 2.48776*10 -5 5.311127*10 -6<br />
Epoch<br />
θ<br />
(deg)<br />
02572-2458 02592+2120 12463-6806 12158-2321<br />
ρ<br />
(arcsec)<br />
Table 2: Ephemerides<br />
θ<br />
(deg)<br />
ρ<br />
(arcsec)<br />
θ<br />
(deg)<br />
ρ<br />
(arcsec)<br />
θ<br />
(deg)<br />
ρ<br />
(arcsec)<br />
2012 343.6 0.818 209.5 1.358 54.9 0.934 306.5 1.872<br />
2013 344.4 0.767 209.6 1.353 56.2 0.918 306.7 1.879<br />
2014 345.3 0.709 209.7 1.347 57.5 0.903 306.9 1.886<br />
2015 346.3 0.642 209.7 1.342 58.9 0.887 307.1 1.894<br />
2016 347.6 0.565 209.8 1.336 60.4 0.870 307.3 1.901<br />
2017 349.4 0.478 209.9 1.331 61.9 0.854 307.5 1.908<br />
2018 352.0 0.382 209.9 1.331 63.4 0.838 307.7 1.915<br />
2019 356.4 0.278 209.9 1.331 65.0 0.821 307.9 1.922<br />
2020 6.4 0.171 209.9 1.331 66.7 0.805 308.1 1.929<br />
2021 43.8 0.080 209.9 1.331 68.5 0.788 308.3 1.936
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Page 130<br />
Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
WDS<br />
(1)<br />
STAR<br />
HIP<br />
(2)<br />
m A<br />
(3)<br />
m B<br />
(4)<br />
WDS<br />
Spectral<br />
Type<br />
(5)<br />
Table 3: Stellar data<br />
PRESENT WORK<br />
π (Dynamical)<br />
(mas)<br />
(6)<br />
HpA<br />
(7)<br />
HpB<br />
(8)<br />
Hipparcos<br />
π<br />
(Trigonometric)<br />
(mas)<br />
(9)<br />
02572-2458 18455 8.06 8.20 K1/2V 45.0 8.19 8.26 44.51 ± 2.09 1.5 ± 0.3<br />
02592+2120 13914 5.17 5.57 A2Vs A2Vs … 5.24 5.59 9.81 ± 0.79 7.4 ± 1.8<br />
12463-6806 62322 3.52 3.98 B2.5V 11.3 3.51 4.01 10.48 ± 0.65 20.9 ± 5.9<br />
12158-2321 59801 6.86 8.22 F7V 15.6 6.91 8.29 14.37 ± 0.71 3.60 ± 0.93<br />
Σ<br />
(M <br />
)<br />
(10)<br />
Grenon (1987), fG. Bartkevicius & Gudas (2002) determined<br />
the relation between fG and the age. Statistically,<br />
the stars with fG < 0.20 belong to the youngmiddle<br />
age group (with an age less than 3 - 4 Gyr) <strong>of</strong><br />
the thin disk population. The stars with 0.20 < fG <<br />
0.35 belong to the old (with age <strong>of</strong> 3 - 10 Gyrs) thin<br />
disk population. The stars with 0.35 < fG < 0.70 belong<br />
to the thick disk population (age greater than 10<br />
Gyrs) and the stars with fG > 0.70 belong to the halo<br />
population.<br />
In order to check the membership <strong>of</strong> the binaries<br />
to young kinematic groups, I consulted Table 1 published<br />
in Montes et al. (2001) and Soderblom & Mayor<br />
(1993).<br />
WDS 02572-2458 = BU 741 AB<br />
Since the first measure in 1879 (Burnham 1887)<br />
this binary has had 69 measures which cover an arc<br />
<strong>of</strong> about 184 deg. The orbital elements have previously<br />
been announced in the Information IAUDS No.<br />
172 (Rica 2010).<br />
BU 741 AB (HD18455 = HIP13772) is composed<br />
by stars <strong>of</strong> 8.06 and 8.20 magnitudes (ESA 1997) in<br />
Hipparcos system and the previous orbit was calculated<br />
by Scardia (2002).<br />
Tycho-2 catalog lists a proper motion <strong>of</strong> +31.5 ±<br />
2.6 mas/yr in RA and –35.1 ± 2.4 mas/yr in dec. The rereduced<br />
Hipparcos trigonometric parallax is 44.51 ±<br />
2.09 mas which corresponds to a distance <strong>of</strong> 25 +/-<br />
Figure 1: Apparent orbit for BU 741.
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
1.1/1.0 pc.<br />
Masses were calculated taking into account the<br />
standard deviation for Hipparcos trigonometric parallax,<br />
P and a. A total dynamic mass <strong>of</strong> 1.46 ± 0.33 M<br />
was obtained. From spectral types, stellar masses <strong>of</strong><br />
0.73 and 0.73 M were calculated using Allen’s tables<br />
(1973) and so the sum <strong>of</strong> the masses is in excellent<br />
agreement with that calculated using orbital parameters.<br />
The dynamic parallax is 45.0 mas in good agree<br />
with Hipparcos data.<br />
In the astronomical literature BU 741 AB has<br />
been classified as a K1/2V star (Houk 1988) while<br />
Gray (2006) classified it as a K2V star. From differential<br />
magnitude and combined spectral type, I determined<br />
individual spectral type <strong>of</strong> about K2V and K2V<br />
(tables from Cowley et al. (1969), Christy & Walker<br />
(1969) and Edwards (1976) were used). From V apparent<br />
magnitudes and Hipparcos parallax the absolute<br />
magnitudes are +6.30 and +6.44 which corresponds<br />
to a spectral type <strong>of</strong> K1/2V and K2V.<br />
Favata, Micela & Sciortino (1997) measured a<br />
metallicity [Fe/H] = -0.47 ± 0.05 for GJ 120.1A<br />
(matching with BU 741 AB). While Taylor (2005)<br />
measured a metallicity <strong>of</strong> -0.216 ± 0.087, Gray (2006)<br />
gave a value <strong>of</strong> -0.15 ± 0.06 and Holmberg, Nordstrom<br />
& Andersen (2009), -0.10.<br />
Bobylev, Goncharov, & Bajkova (2006) measured<br />
a radial velocity for AB <strong>of</strong> +50.4 ± 0.2 Km s -1 while<br />
Gontcharov (2006) measured a radial velocity <strong>of</strong> +50.7<br />
± 0.3 km s -1 . In 2012 the calculated relative radial<br />
velocity will be <strong>of</strong> -9.1 km s -1 when the secondary is at<br />
0.815 arcsec <strong>of</strong> angular distance. Perhaps this would<br />
be a good time for this system to be observed spectroscopically.<br />
Age and Stellar Population.<br />
Bobylev, Goncharov, & Bajkova calculated a galactocentric<br />
velocity <strong>of</strong> (U,V,W) = (-18.5, -18.8, -43.3)<br />
km/s. According to this kinematic data this system is<br />
a member <strong>of</strong> the young galactic disk in agree with the<br />
study <strong>of</strong> Bartkevicius & Gudas (2002). A fG = 0.29<br />
was obtained in this work corresponding to old age<br />
thin disk stars <strong>of</strong> 3-10 Gyr old.<br />
The ROSAT All-Sky Survey Faint Source Catalog<br />
(Voges et. al. 2000) lists the X-ray source 1RXS<br />
J025714.6-245828 located at 20 arcsec from AB and<br />
about 19 arcsec from component C. The positional<br />
error for this source is <strong>of</strong> 20 arcsec and the count rate<br />
is <strong>of</strong> 0.0291 ± 0.0125 cts/s with a HR1 = -1.00 ± 0.68.<br />
The optical source that emits in X-ray is unknown.<br />
How can I identify the possible X-ray optical counterpart<br />
Agüeros et al. (2009) calculated that most <strong>of</strong><br />
the optical counterpart is at less than twice the<br />
ROSAT positional error. So I search for an optical<br />
source in a radius <strong>of</strong> 40 arcsec from the X-ray source.<br />
There are no galaxies near the X-ray source so only<br />
two candidates were found: BU 741 AB and S 423 C.<br />
Both candidates have a log fx/fv that match with K<br />
dwarf stars.<br />
Using ROSAT data and the Hipparcos parallax I<br />
calculated a log Lx = 29.7 +/- 0.5/2.1 ergs/s for the AB<br />
pair. If I consider that A and B stars contribute<br />
equally to the X-ray emission then the Lx for each<br />
component would be <strong>of</strong> about 29.4. This very high<br />
level <strong>of</strong> X-ray emission is a strong indicator <strong>of</strong> stellar<br />
youth and it is a level typical for very young stars.<br />
Using he graphics cited in Catalán et al. (2008) and<br />
Daminani et al. (1995), the age for AB could be <strong>of</strong><br />
about 200 Myr but the large errors in the count rate<br />
and in HR1 gave high limits <strong>of</strong> about 6 Gyr.<br />
WDS 02592+2120 = STF 333 AB<br />
This stellar system is located behind the dark<br />
cloud MBM12 (Abt & Morrell (1995)). Since Struve<br />
(1837) discovered it in 1827, STF 333 AB (= ADS 2257<br />
AB = HD 18520/HD18519 = ε Ari = 48 Ari) has had<br />
439 measures which cover about 19 degrees in a large<br />
nearly rectilinear arc. In the x(t) and y(t) plots can be<br />
observed a slightly curve cloud <strong>of</strong> points, clear evidence<br />
that STF 333 AB is a binary star.<br />
The first speckle measure was performed in<br />
1978 (McAlister & Fekel 1980). Since then, 45 speckle<br />
measures have been made. This binary is wide<br />
enough for amateurs to measure. For example<br />
Comellas (2003) measured it in 1973 and 1980, Le<br />
Beau (1987) in 1985, Kaznika (1994) in 1991, T<strong>of</strong>ol<br />
Tobal (2003) between 1984 and 1990, Benavides<br />
Palencia (2003) in 2002; Alzner (1998, 2003, 2005)<br />
between 1997 and 2004, Roberto Caloi (2008) in 2007,<br />
James Daley (2003) in 2001.<br />
This orbit has previously been announced in the<br />
Information IAUDS No. 169 (Rica 2009).<br />
STF 333 AB has stars <strong>of</strong> 5.17 and 5.57 magnitudes<br />
(ESA 1997) with combined spectral type <strong>of</strong><br />
A2Vs. Tycho-2 catalog (Hog et al. 2000) determined a<br />
proper motion <strong>of</strong> –9.4 mas yr -1 in AR and –5.0 mas yr -1<br />
in DEC. The Hipparcos trigonometric parallax <strong>of</strong> 9.81<br />
± 0.79 mas (Leeuwen 2007) corresponds to a distance<br />
<strong>of</strong> 101.9 +/- 8.9/7.6<br />
Masses were calculated taking into account the<br />
standard deviation for Hipparcos trigonometric parallax<br />
and the errors <strong>of</strong> P and a. A total mass <strong>of</strong> 7.35 ±<br />
1.81 M was obtained.<br />
Gray & Garrison (1987) obtained a spectral type
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
Figure 2: Apparent orbit for STF 333 AB.<br />
<strong>of</strong> A2IV for primary and secondary, while Abt &<br />
Morrell (1995) obtained A2IV and A3IV. Others references<br />
classify the components as dwarf stars. From<br />
apparent magnitudes and Hipparcos parallaxes, the<br />
absolute magnitudes for the components were determined<br />
to be +0.13 ± 0.18 and +0.53 ± 0.18. It is a suspected<br />
variable star cataloged as NSV 1001.<br />
The result <strong>of</strong> differential photometry from the<br />
Hipparcos satellite is +0.40. The mean result using<br />
the historical values from the WDS catalog was +0.38<br />
± 0.55.<br />
Using theoretical isochrones, I calculated a stellar<br />
mass <strong>of</strong> 2.4 for an A2 subgiant, therefore, the sum <strong>of</strong><br />
the masses is 4.8 M.<br />
Age and Stellar Population<br />
In this work, theoretical isochrones were used to<br />
determine that both stars seems to be subgiant stars<br />
with an age <strong>of</strong> about 550 - 650 Myr. King et al. (2003)<br />
obtained a galactic heliocentric velocity <strong>of</strong> (U, V, W) =<br />
(+9.9,+4.1,-1.0) km/s and considered that both component<br />
could be members <strong>of</strong> the Ursa Major moving<br />
group based in photometric data. The age for the Ursa<br />
Major moving group calculated by King et al. (2003)<br />
was 500 ± 100 Myr in excellent agreement with the<br />
age calculated in this work. According to Eggen’s diagrams,<br />
STF 333 AB is a member <strong>of</strong> the young Galactic<br />
disk.<br />
Coster (2009) published other orbital parameters<br />
with a very shorter orbital period (313 years). The<br />
ephemerids for both orbits are very similar and new<br />
measures in the followed years could not determine<br />
which orbit was correct.<br />
WDS 12463-6806 = R 207<br />
Since Russell (1871) discovered it in 1871, R 207<br />
(= β Muscae = HD 110879 = HIP 62322) has had 78<br />
measures which cover about 2/3 <strong>of</strong> the period. Only<br />
three speckle measures were made (Hartkopf et al.<br />
1993; Davis & North 2001; Horch et. al. 2006). The<br />
last two measures were performed by the German<br />
amateur Rainer Anton (2006, 2008) in 2002.686 and<br />
2007.373 using telescopes <strong>of</strong> 0.20 and 0.28 meters by<br />
CCD lucky imaging technique.<br />
The <strong>of</strong>ficial orbit was calculated by Mourao (1964)<br />
and it is an orbit <strong>of</strong> grade 5. Since the previous orbit,<br />
20 measures have been made covering about 28 degrees.<br />
R 207 is composed <strong>of</strong> stars <strong>of</strong> 3.54 and 3.99 magnitudes<br />
(Hog et al. 2000) with combined spectral type <strong>of</strong><br />
B2V (Houk & Cowley 1975; Kennedy 1983; Burnashev<br />
1985; Buscombe & Foster 1995).
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
Figure 3: Apparent orbit for R 207.<br />
Corbally (1984) obtained the followed photometric<br />
data: V = 3.58, B-V = -0.20, U-B = -0.77, and Mv = -<br />
2.50 for the primary. For the secondary V = 4.10, B-V<br />
= -0.18, U-B = -0.69, and Mv = -2.00. Tycho-2 catalog<br />
listed photometric data which transformed to standard<br />
system are: V = 3.54 ± 0.01, B-V = -0.16 ± 0.01<br />
for the primary and V = 3.99 ± 0.01, B-V = -0.15 ±<br />
0.01 for the secondary.<br />
Corbally also estimated spectral types B2V and<br />
B2.5V for the components and a reddening E(B-V) <strong>of</strong><br />
0.04. Sartori, Lepine & Dias (2003) estimated a color<br />
V-I = -0.19 and Av = 0.05 and a bolometric correction<br />
<strong>of</strong> -2.05.<br />
Hipparcos catalog (ESA 1997) determined a<br />
proper motion <strong>of</strong> –40.40 mas yr -1 in AR and –10.32<br />
mas yr -1 in DEC and a trigonometric parallax <strong>of</strong> 10.48<br />
± 0.65 mas which corresponds to a distance <strong>of</strong> 95 +/-<br />
6.3/-5.6.<br />
Stellar masses were calculated taking into account<br />
the standard deviation for Hipparcos trigonometric<br />
parallax. A total mass <strong>of</strong> 20.9 ± 5.9 M was<br />
obtained.<br />
From Tycho-2 apparent magnitudes and Hipparcos<br />
parallaxes the absolute magnitudes were calculated<br />
for the components (-1.48 ± 0.13 and -1.03 ±<br />
0.13).<br />
From spectral types obtained by Corbally<br />
(1984), stellar masses <strong>of</strong> 11.6 and 10.4 M¤ were calculated<br />
using Allen’s tables (1973). The sum <strong>of</strong> the<br />
masses is 22.0 M¤ and the dynamic parallax is 11.3<br />
mas in agreement with what I expected.<br />
Age and Stellar Population<br />
Sartori, Lepine & Dias (2003) obtained a galactic<br />
heliocentric velocity with respect to the LSR <strong>of</strong> (U, V,<br />
W) = (+16.9, -39.4, -1.6) km s -1 and a radial velocity <strong>of</strong><br />
+42.0 km/s.<br />
According to this kinematic data, R 207 is a member<br />
<strong>of</strong> the old Galactic disk. A value <strong>of</strong> 0.22 for fG was<br />
obtained in this work corresponding to old age thin<br />
disk stars. This is not in agreement with the age inferred<br />
by their spectral types. I estimate the most<br />
probable age using the stellar models by Girardi et al.<br />
(2002; using the web interface PARAM 1.1, Da Silva<br />
et al. 2006). It yields stellar ages <strong>of</strong> about 100 Myrs<br />
(assuming solar metallicity). I know no reason for this<br />
different conclusion using kinematic data but is obviously<br />
more logical think that two dwarfs <strong>of</strong> B spectral<br />
type are very young objects.
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
WDS 12158-2321 = BU 920<br />
The first measure was performed in 1879<br />
(Burnham 1883) In this work, a combined spectral<br />
type <strong>of</strong> F5V (using BVIJHK photometry) was obtained.<br />
From apparent magnitudes and Hipparcos<br />
parallax the absolute magnitude for the components<br />
are +2.65 ± 0.11 and +4.01 ± 0.11. This binary has<br />
had 62 measures which cover an arc <strong>of</strong> 70 degrees.<br />
BU 920 is composed <strong>of</strong> stars <strong>of</strong> 6.86 and 8.22 magnitudes<br />
(ESA 1997). Tycho-2 catalog lists a proper motion<br />
<strong>of</strong> -8.7 ± 3.4 mas yr -1 in RA and -38.5 ± 3.3 mas yr<br />
-1 in DEC and a trigonometric parallax <strong>of</strong> 14.37 ± 0.71<br />
mas which corresponds to a distance <strong>of</strong> 69.6 +/- +3.6/-<br />
3.3 pc.<br />
In the astronomical literature BU 920 has been<br />
classified as an F3V star (Malaroda 1975), F5/6V<br />
(Houk & Smith-Moore 1988), F7V<br />
The astronomical literature gives values for the<br />
radial velocity ranging from +18.1 ± 4.0 km/s<br />
(Gontcharov 2006) to +22.1 ± 1.5 km/s (Beavers & Eitter<br />
1986).<br />
If both stars are dwarfs, the individual spectral<br />
types determined in this work would be F3V and<br />
G1V. Using an evolutionary isochronal, the primary<br />
could be an evolved star <strong>of</strong> spectral type F3IV/V. The<br />
sum <strong>of</strong> the masses could be 3.6 M (2.3 solar masses<br />
for the primary). A total mass <strong>of</strong> 3.60 ± 0.93 M was<br />
obtained using the orbit <strong>of</strong> this work and the errors in<br />
trigonometric parallax, P and a.<br />
No common proper motion companion was found.<br />
Age and Stellar Population.<br />
Holmberg, Nordström & Andersen (2009) calculated<br />
a galactocentric velocity <strong>of</strong> (U, V, W) = (+8, -21,<br />
+1) km s -1 , a metallicity [Fe/H] = +0.01 and an age <strong>of</strong><br />
1.8 +/- 0.2/0.1 Gyr. Philip & Egret (1980) calculated<br />
[Fe/H] = +0.16. According to the diagram <strong>of</strong> Chiba &<br />
Beers (2000) this system is a member <strong>of</strong> the thin galactic<br />
disk. A fG = 0.11 was obtained in this work corresponding<br />
to young-middle age thin disk stars <strong>of</strong> 3-4<br />
Gyr old.<br />
Study <strong>of</strong> Wide Companions<br />
The astronomical literature was consulted in order<br />
to obtain photometric, astrometric and kinematic<br />
data. VizieR, Simbad (Wenger et al. 2003) and the<br />
“services abstract” tools were used from the website <strong>of</strong><br />
Centre De Données Astronomiques de Strasbourg.<br />
Photometry in B, V and I bands came from Hipparcos<br />
(ESA 1997) and Tycho-2 catalogs (Høg et al. 2000).<br />
Infrared J, H and K photometry came from Two Micron<br />
All Sky Catalogue (Cutri et al. 2000), hereafter<br />
2MASS. Proper motion came from Tycho-2 catalog.<br />
Figure 4: Apparent orbit <strong>of</strong> BU 920
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
This catalog was chosen because the Hipparcos<br />
proper motions could be affected by Keplerian motion<br />
due to its smaller time baseline. Historical astrometric<br />
data were supplied kindly by Mason. Spectral<br />
types and other astrophysical data were taken from<br />
other sources.<br />
The details about the process to estimate spectral<br />
types and luminosity classes for the members, the<br />
calculus <strong>of</strong> interstellar reddening, determination <strong>of</strong><br />
the nature for the stellar systems, the expected semimajor<br />
axis and the orbital period were explained in<br />
detail in an earlier paper (Rica 2008).<br />
5.2 STF 333 C.<br />
The component C <strong>of</strong> STF 333 is a star <strong>of</strong> 12.7<br />
magnitudes (from WDS) at about 145.0 arcsec to the<br />
primary component. It was measured for the first<br />
time in 1912 by Burnham (1918) when the angular<br />
separation was 145.4 arcsec. But later, an earlier<br />
measure on 1896 was added from the WFC (Urban et<br />
al. 1998). Since then, it has been measured only 4<br />
times, the last in 1998 from 2MASS catalog.<br />
Using these four measures I calculated that the<br />
relative motion <strong>of</strong> C with respect to A was: Δx = -4.6 ±<br />
1.3 mas/yr and Δy = +3.5 ± 2.9 mas/yr. The time baseline<br />
<strong>of</strong> the 4 measures used was nearly 102 years. The<br />
proper motion <strong>of</strong> C was calculated using the proper<br />
motion <strong>of</strong> A and the relative motion <strong>of</strong> C: μ(α) = -14.0<br />
± 1.8 mas/yr and μ(δ) = +1.5 ± 4.1 mas/yr. The UCAC-2<br />
catalog lists a proper motion <strong>of</strong> μ(α) = -14.0 ± 1.9 mas/yr<br />
and μ(δ) = 0.0 ± 1.9 mas/yr in good agreement with<br />
our result.<br />
Using the magnitude r from CMC14 and JHK<br />
from 2MASS, I determined the V magnitude for C<br />
using the relation <strong>of</strong> John Greaves (private communication;<br />
see Rica 2011). The result was V = 12.51 ±<br />
0.06. In order to obtain another independent result<br />
for V magnitude, I obtained calibrated photometric<br />
data from GSC 1.2 catalog, using Tycho-2 stars for<br />
the region <strong>of</strong> the sky where the component C is located.<br />
A magnitude V = 12.48 ± 0.40 was calculated.<br />
No spectral type information was found in the<br />
literature. Using V magnitude, JHK photometric data<br />
from 2MASS, and proper motion, a spectral type <strong>of</strong><br />
K0V was determined. But this stellar system is behind<br />
the dark nebula MBM12 and could be very reddened.<br />
A value <strong>of</strong> E(B-V) = +0.32 was calculated. This<br />
suggests that the C component is an F8V star at a<br />
distance <strong>of</strong> about 322 pc.<br />
In order to determine the nature <strong>of</strong> the wide C<br />
component, several tests were used: Dommanget test<br />
(1955, 1956), van de Kamp test (1961), Sinachopoulos<br />
& Mouzourakis test (1992). Consult Benavides et al.<br />
(2010) for detailed information about these criteria.<br />
The component C is not bound gravitationally to the<br />
A component.<br />
5.3. S 423 AB-C.<br />
The C component (HD 18445 = HIP 13769) <strong>of</strong> the<br />
WDS 02572-2458 stellar system is a star <strong>of</strong> magnitude<br />
7.84 (ESA 1997) at about 29 arcsecs to BU 741<br />
AB. It was measured for the first time in 1824 by<br />
South (1826) when the angular separation was <strong>of</strong><br />
27.75 arcsecs from the AB close pair. Since then, it<br />
has been measured 32 times, the last in 2008 by Anton<br />
(2010) when the angular separation was <strong>of</strong> 28.93<br />
arcsecs.<br />
According to the data from the Hipparcos satellite,<br />
the trigonometric parallax is 38.35 ± 1.24<br />
(distance <strong>of</strong> 26.1 +/- 0.9/-0.8 pc with magnitudes and<br />
colors V = +7.83; B-V = +0.960 ± 0.006 and V-I = +0.95<br />
± 0.01.<br />
Beuzit et al. (2004) discovered in 2000 that C is a<br />
binary star (the binary star was called BEU 4 Ca,<br />
Cb). At that moment, Cb component was at 0.083<br />
arcsecs to Ca in direction 170.1 deg. Beuzit et al. observed<br />
a difference <strong>of</strong> 0.02 magnitudes in K band and<br />
Tokovinin, Mason, & Hartkopf (2010) determined a<br />
difference <strong>of</strong> 0.4 magnitudes in R band. Since its discovery,<br />
BEU 4 Ca, Cb has been measures three times.<br />
I calculated the relative motion <strong>of</strong> C with respect<br />
to AB: Δx = -16.8 ± 0.6 mas/yr and Δy = +3.1 ± 0.6 mas/yr.<br />
The time baseline <strong>of</strong> the 32 measures used was nearly<br />
184 years. The proper motion <strong>of</strong> C is listed in Tycho-2<br />
catalog: μ(α) = +15.0 ± 1.2 mas/yr and μ(δ) = -32.6 ±<br />
1.3 mas/yr in good agreement with our results.<br />
In the literature, the C component is listed as a<br />
K2V star (Houk (1988) and Montes et al. (2001)) and<br />
as a K3V star <strong>of</strong> [Fe/H] = -0.09 ± 0.06 (Gray et al.<br />
2006). In this work, I used the BVI photometry from<br />
Hipparcos and JHK photometry from 2MASS to obtain<br />
a K3V spectral type.<br />
In order to determine the nature <strong>of</strong> the wide C<br />
component, I estimate that AB and C are at the same<br />
distance at a 2σ level (Hipparcos lists a trigonometric<br />
parallax <strong>of</strong> 44.51 ± 2.09 for AB and 38.35 ± 1.24 for C<br />
(Leuwann 2007)). The proper motions for AB and C<br />
are mathematically incompatible, but taking into account<br />
that they are nearby stars, the relative motion<br />
could be caused by the orbital motion. The radial velocity<br />
for the components is an excellent test. In the<br />
literature the radial velocity for C ranges from +49.5<br />
± 0.2 km/s (Kharchenko et al. 2007) to +51.6 km/s
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
(Valenti & Fischer 2005). Other values: +49.6 ± 0.5<br />
km/s (Montes et al. 2001); +49.877 ± 0.222 km/s<br />
(Nidever et al. 2002); +49.7 ± 0.2 km/s (Gontcharov<br />
2006). For AB pair, the radial velocity in the literature<br />
range from +50.4 to +50.7 km/s and so AB and C<br />
has nearly the same radial velocity within error margins.<br />
I have used several tests (those <strong>of</strong> Dommanget<br />
(1955, 1956), Peter van de Kamp (1961) and Sinachopoulos<br />
& Mouzourakis (1992)) that are based on astromechanics.<br />
They are detailed in Benavides et al.<br />
(2010). The Dommanget test determined that C would<br />
be bound to AB if the stellar system is nearer than<br />
26.9 pc. Since the mean distance for AB and C is<br />
24.03 pc then, C could be bound to AB. The criterion<br />
<strong>of</strong> van de Kamp shows that the true critical value for<br />
a parabolic orbit is 236.9 AU 3 yr -2 while the observed<br />
projected critical value is <strong>of</strong> 118.2 AU 3 yr -2 , smaller<br />
than the true value, so it is possible that C is bound to<br />
AB. The tangential velocity corresponding to the observed<br />
relative proper motion for C with respect to AB<br />
is 2.0 ± 0.1 km/s. Using the criterion <strong>of</strong> Sinachopoulos<br />
& Mouzou, a maximum orbital velocity (circular and<br />
face-on orbit assumed) <strong>of</strong> 2.1 km/s was calculated so C<br />
could be bound to AB. In summary, the three tests<br />
agree in the physical relationship <strong>of</strong> C with AB.<br />
Using the expression obtained by Fischer &<br />
Marcy (1992) the expected semimajor axis is <strong>of</strong> 865<br />
UA (about 35.6 arcseconds) and the orbital period <strong>of</strong><br />
~13,660 yrs (using the Kepler’s Third Law and assuming<br />
circular and face-on orbit). The arc covered by this<br />
component is only <strong>of</strong> 5.38 deg. If I consider this angular<br />
motion as the mean motion then, a complete orbit<br />
will be covered in about ~12,300 yrs.<br />
Burningham et al. (2009) used the method <strong>of</strong> Torres<br />
(1999) to obtain a relationship between ρ and a.<br />
They assumed random viewing angles (i.e. random<br />
inclinations) and an uniform eccentricity distribution<br />
between 0 < e < 1 to derive a relationship <strong>of</strong><br />
then, the expected semimajor axis is<br />
And the orbital period is<br />
+ 0.91<br />
−0.36<br />
E( a) = ρ *1.10<br />
(2)<br />
+ 26.3<br />
E(<br />
a)<br />
= 31.8−<br />
10.4<br />
arc sec ≡ 772<br />
+ 639<br />
−253<br />
AU<br />
P ≅ 12,400<br />
+ 18,277<br />
−5,558<br />
years<br />
Search for New Bound Companions<br />
I search for unreported bound companions using<br />
SIMBAD and VizieR tools to find common proper motion<br />
pairs, consulting astrometric catalogs and photographics<br />
plates. If the target is a near one then I<br />
search for companions by plotting the neighbor stars<br />
in a color-magnitude diagram where apparent 2MASS<br />
J-K and K data are plotted. A dwarf sequence to the<br />
distance <strong>of</strong> the target is also plotted. Dwarf companion<br />
candidates must be located on or near this dwarf<br />
sequence. Subdwarf or white dwarf companions will<br />
be not detected unless I use reduced proper motion<br />
diagrams. Giant companions will be bright enough to<br />
be detected and they will be located well above the<br />
dwarf sequence.<br />
The expression <strong>of</strong> Abt (1988) which relates stellar<br />
masses <strong>of</strong> the primary with the maximum projected<br />
separation (in A.U.) was used to define the sky region<br />
to search. I selected our companion candidates consulting<br />
2MASS where only stars located within the<br />
search region and with a S/N > 10 were selected.<br />
Conclusions<br />
The increase <strong>of</strong> residuals for the last orbital solutions<br />
for WDS 02572-2458 (BU 741 AB), WDS<br />
02592+2120 (STF 333 AB), WDS 12158-2321 (BU<br />
920) and WDS 12463-6806 (R 207) indicated that a<br />
new revision was needed. The Thiele-Innes-van den<br />
Boss method and Docobo analytical method were used<br />
to determine new orbital elements.<br />
The orbit for STF333 is preliminary and very different<br />
from the orbit calculated by Coster (2009). In<br />
the next 10 years the difference in the ephemeris for<br />
rho is 0.03 - 0.04” so we should be able to determine<br />
in the next years which orbit is the nearest to the correct<br />
one. In this work theoretical isochrones confirm<br />
the subgiant nature for both members with an age <strong>of</strong><br />
about 550-650 Myr, matching the age for its membership<br />
in the Ursa Major moving group.<br />
The new orbit <strong>of</strong> R 207 has a smaller period and<br />
semimajor axis than the previous orbit. In this work I<br />
estimate an age <strong>of</strong> about 100 Myrs.<br />
BU 920 shows clear and large residuals in the last<br />
years. The motion is large and rectilinear and the<br />
new orbit was very different from the previous orbit.<br />
Using evolutionary isochronal, I determined that the<br />
primary could be a slightly evolved star.<br />
The separation for BU 741 AB has started to close
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Orbital Elements for BU 741 AB, STF 333 AB, BU 920 and R 207<br />
in the last years, increasing the residuals. The new<br />
orbit makes slight corrections to the previous orbit. In<br />
2012 the calculated relative radial velocity will be -9.1<br />
km/s, when the secondary is at 0.815 arcsec <strong>of</strong> angular<br />
distance. This would be a good time for the system<br />
to be observed spectroscopically.<br />
STF 333 AB has a wide optical component <strong>of</strong> 12.7<br />
magnitude and K0V spectral type. BU 741 AB has a<br />
bright physical companion (listed as S 423 C) <strong>of</strong> 7.84<br />
magnitude at a separation <strong>of</strong> 29”. The semimajor axis<br />
is about 772 AU and the orbital period is about 12,400<br />
years.<br />
Acknowledgements<br />
This publication made use <strong>of</strong> the SIMBAD database<br />
and ALADIN tool, operated at the CDS in Strasbourg,<br />
France. The author thanks Brian Mason for<br />
his valuable advice and important support. The author<br />
is especially grateful to Andreas Alzner for the<br />
transmission <strong>of</strong> his knowledge about orbital calculations;<br />
without his help and patience I would not have<br />
enough skill and knowledge to calculate orbital parameters<br />
for visual double stars.<br />
I am kindly grateful to Clif Ashcraft for the English<br />
Grammar revision <strong>of</strong> this work.<br />
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Page 140<br />
Astrometric Observation <strong>of</strong> Delta Cepheus<br />
Naomi Warren 1 , Betsie Wilson 1 , Chris Estrada 2 , Kim Crisafi 1 , Jackie King 1 ,<br />
Stephany Jones 1 ,Akash Salam 1 , Glenn Warren 1 , S. Jananne Collins 1 , and Russell Genet 3<br />
1. Arroyo Grande High School, CA 93420<br />
2. California State University, Los Angeles, CA 90032<br />
3. Cuesta College, San Luis Obispo, CA 93403<br />
Abstract: Members <strong>of</strong> a Cuesta College astronomy research seminar used a manuallycontrolled<br />
10-inch Newtonian Reflector telescope to determine the separation and position<br />
angle <strong>of</strong> the binary star Delta Cepheus. It was observed on the night <strong>of</strong> Saturday, October<br />
29, 2011, at <strong>Star</strong> Hill in Santa Margarita, California. Their values <strong>of</strong> 40.2 arc seconds and<br />
192.4 degrees were similar to those reported in the WDS (1910).<br />
Introduction<br />
The students <strong>of</strong> Cuesta College’s Astronomical<br />
Research Seminar made astrometric observations <strong>of</strong><br />
Delta Cepheus (AC) on October 29, 2011, at <strong>Star</strong> Hill<br />
by Santa Margarita Lake in California, with a 10-<br />
inch, manually controlled Newtonian reflector. The<br />
equatorially-mounted telescope has a synchronous<br />
motor clock drive. The telescope was built by an amateur<br />
astronomer and refurbished by Chris Estrada.<br />
Drift Time<br />
The drift time was determined by orienting the<br />
eyepiece with the celestial coordinates. Once orientation<br />
was completed, we aligned the star, Alpheratz,<br />
at one end <strong>of</strong> the linear scale, turned <strong>of</strong>f the right<br />
ascension motor, and determined the time it took for<br />
this star to travel to the other end <strong>of</strong> the linear scale.<br />
The time was recorded when the star was bisected by<br />
the last division mark.<br />
The mean value for the drift time (Table 1) was<br />
used to calculate the scale constant, which was subsequently<br />
used to determine the separation in arc<br />
seconds. The scale constant was determined by the<br />
equation .<br />
Figure 1: The observing team. Top left to right: Chris Estrada,<br />
Glenn Warren, Russ Genet. Bottom left to right: Kim Crisafi,<br />
Naomi Warren, Betsie Wilson, Stephany Jones, and Jackie King<br />
Table 1: Data for the drift time; twelve measurements<br />
were made.<br />
Drift time (seconds)<br />
Mean 61.3<br />
Standard Deviation 0.7<br />
Standard Error <strong>of</strong> the Mean 0.2
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Astrometric Observation <strong>of</strong> Delta Cepheus<br />
15.0411tcos( d)<br />
Z =<br />
D<br />
where Z is the scale constant in arc seconds per division,<br />
15.0411 is the number <strong>of</strong> arc seconds per second<br />
<strong>of</strong> the Earth’s rotation, t is the average drift time in<br />
seconds, d is the declination <strong>of</strong> the star, and D is the<br />
number <strong>of</strong> divisions on the linear scale (60).<br />
Separation and Position Angle <strong>Observations</strong><br />
The distance between the binary stars was estimated<br />
by each observer to the nearest tenth <strong>of</strong> a scale<br />
division. Angular separation was determined by multiplying<br />
the mean <strong>of</strong> the distances by our measured<br />
scale constant <strong>of</strong> 11.5 arc seconds per division. The<br />
separation was estimated twice by each <strong>of</strong> six observers<br />
for a total <strong>of</strong> twelve values.<br />
The position angle was found by placing the<br />
brighter binary star at the center <strong>of</strong> the eyepiece,<br />
then aligning the eyepiece so that the linear scale bisected<br />
both stars, then turning <strong>of</strong>f the synchronous<br />
motor and observing and recording point at which the<br />
star crossed the inner protractor. Results <strong>of</strong> the measurements<br />
are in Table 2.<br />
Discussion and Conclusion<br />
We estimated the separation to be 40.2 arc seconds,<br />
which compared favorably with the value <strong>of</strong><br />
Table 2: Data for the separation and position angle; twelve<br />
measurements were made for both separation and position<br />
angle.<br />
40.7 arc seconds reported in 2010 in the Washington<br />
<strong>Double</strong> <strong>Star</strong> Catalog. Our position angle was measured<br />
as 192.4 degrees which also compared favorably<br />
with the last observation recorded in the Washington<br />
<strong>Double</strong> <strong>Star</strong> Catalog which found the position angle to<br />
be 191 degrees.<br />
Acknowledgment<br />
We thank John Baxter and Vera Wallen for their<br />
outside reviews <strong>of</strong> our paper.<br />
Reference<br />
Separation<br />
(arc seconds)<br />
Position Angle<br />
(degrees)<br />
Mean 40.2 192.4<br />
Standard Deviation 4.5 1.8<br />
Standard Error <strong>of</strong> the Mean 1.1 0.5<br />
Mason, Brian, 2007, The Washington <strong>Double</strong> <strong>Star</strong><br />
Catalog. Astrometry Department, U.S. Naval<br />
Observatory.
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Page 142<br />
Astrometric Measurements <strong>of</strong> Selected Visual<br />
<strong>Double</strong> <strong>Star</strong>s<br />
Jonathan Boyd 1 , Anthony Brokaw 1 , Jackie Deventer 1 , Monica Garcia’, Mario Gastelum 1 ,<br />
Yvelisse Guerrero 1 , Joy Hallett 1 , Kelli Heape 1 , Margarita Ibarra 1 , Richard Langston 1 ,<br />
Dawn Maddux 1 , Jack Moreland 1 , Randall Mozzillo 1 , Jason Overholts 1 , Kevin Perez 1 ,<br />
Valorie Randle 1 , Samantha Savard 1 , Mike Stewart 1 , Lajeana West 1 ,<br />
Angela McClure 2 , Douglas Walker 3<br />
1. Students in Astronomy 111 and Mathematics 298AA<br />
2. Faculty, Mathematics, Astronomy and Physics<br />
3. Adjunct Faculty, Mathematics and Astronomy<br />
Estrella Mountain Community College<br />
Avondale, Arizona<br />
Abstract: The observations and measurements for a selected set <strong>of</strong> 13 double stars are reported.<br />
These tasks comprised the activities in a special course designated as a Learning<br />
Community which combines a standard astronomy course with a mathematics course devoted<br />
to research techniques. This class was taught at the Estrella Mountain Community<br />
College in Avondale, Arizona during the fall semester 2011. This course is a result <strong>of</strong> expanding<br />
the special research mathematics courses <strong>of</strong>fered during the fall 2010 and spring<br />
2011 semesters. <strong>Observations</strong> and measurements were taken with a Meade 12” Schmidt<br />
Cassegrain Telescope (SCT) using the Celestron MicroGuide TM and supplemented with imagery<br />
acquired with the Tzec Maun Foundation remote telescope system located in New<br />
Mexico.<br />
Introduction<br />
This observation program is part <strong>of</strong> a special<br />
combination introductory astronomy and mathematics<br />
course dedicated to teaching research techniques<br />
and applied mathematics. Astronomy course AST<br />
111 which is an introduction to astronomy for nonscience<br />
majors was combined with mathematics<br />
course MAT 298 AA which provides the opportunity<br />
for independent study to create what is called a<br />
Learning Community (LC). The general goal <strong>of</strong> this<br />
LC was to provide a greater depth <strong>of</strong> science exposure<br />
than could be achieved in either the astronomy<br />
or mathematics course alone. Specific objectives for<br />
the LC was to expose the students to real-world application<br />
<strong>of</strong> mathematics in the process <strong>of</strong> observing<br />
and reducing data taken under less than ideal conditions.<br />
These same approaches and data techniques<br />
are widely used in a variety <strong>of</strong> pr<strong>of</strong>essional fields and<br />
applications.<br />
The observational areas chosen were the visual<br />
measurements <strong>of</strong> double stars. The selection <strong>of</strong> stars<br />
for observation and measurement were taken from<br />
the Washington <strong>Double</strong> <strong>Star</strong> Catalog (WDS), a webbased<br />
repository for double and multiple star information.<br />
The selection <strong>of</strong> researching binary stars was<br />
chosen since the observation and measurements <strong>of</strong><br />
double star systems are an area which can be<br />
achieved with the use <strong>of</strong> small telescopes. [1]<br />
Instrumentation: Meade 12” LX200<br />
The instrumentation used for observations and<br />
measurements consisted <strong>of</strong> a Meade 12” LX200GPS<br />
f/10 Schmidt-Cassegrain telescope. This system is an<br />
azimuth type system featuring automatic calibration<br />
and GPS location. The GPS feature made initial
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Astrometric Measurements <strong>of</strong> Selected Visual <strong>Double</strong> <strong>Star</strong>s<br />
setup and calibration fast and easy. <strong>Double</strong> star<br />
measurements were obtained using the Celestron MicroGuide<br />
eyepiece which is a 12.5 mm F/L Orthoscopic<br />
with a reticule and variable LED.<br />
All visual observations were taken on the campus<br />
<strong>of</strong> Estrella Mountain Community College campus located<br />
at 33 o 28’49.46”N, 112 o 20’36.47”W during evening<br />
hours which generally consisted <strong>of</strong> between 7:00<br />
and 10:00 PM local time (02:00 to 05:00 UT). <strong>Observations</strong><br />
and measurements covered the dates from mid<br />
September 2011 through late November 2011.<br />
Tzec Maun Remote Telescope<br />
The Tzec Maun Foundation is a non-pr<strong>of</strong>it foundation<br />
which strives to provide students from all over<br />
the world with access, through teachers and pr<strong>of</strong>essors,<br />
to astronomical instruments that can be easily<br />
incorporated into the classroom and even used from<br />
home. The foundation allows students to access quality<br />
telescopes in the northern and southern hemispheres,<br />
providing a view <strong>of</strong> the entire sky from locations<br />
in New Mexico and Australia. Accesses to the<br />
remote telescopes were utilized to image selected double<br />
star targets in order to contrast visual observations<br />
with image analysis.<br />
Several telescope systems were available for advanced<br />
reservation and use. The system chosen was<br />
the Takahashi Epsilon 180 with an f/2.8 focal length<br />
(Figure 1). These setups are typically reserved for beginners<br />
only. The E180s has a ST-2000C camera as<br />
it’s imaging system. This provides a field <strong>of</strong> view <strong>of</strong><br />
80.5 x 60.4 arcminutes with a pixel count <strong>of</strong> 1600 x<br />
Figure 1: Takahashi Epsilon 180 f/2.8<br />
1200 providing an image scale <strong>of</strong> 3.02"/pixel<br />
(arcseconds per pixel).This camera system provides a<br />
JPEG image - there is no FITS file for data. A fullrange<br />
and an adjusted (processed) image <strong>of</strong> each shot<br />
are provided.<br />
Research Teams<br />
In order to maximum the individual student’s observing<br />
time, the class was broken up into observation/research<br />
teams. Teams were the best option as<br />
having the entire class observing simultaneously<br />
would have limited the amount <strong>of</strong> stars able to research,<br />
while individually would prove to be too time<br />
inefficient. Teams were chosen at the beginning <strong>of</strong> the<br />
semester based on the number <strong>of</strong> students enrolled.<br />
Initially, the class was divided into five teams <strong>of</strong> 3-4<br />
students. As the semester progressed, due to normal<br />
student attrition, the class finally settled into four<br />
teams for maximum time efficiency. Teams would rotate<br />
on an approximate hourly basis with each team<br />
getting one hour per rotation to gather observational<br />
data. Each rotation was completed by two class periods.<br />
Teams proved to be flexible due to the fact team<br />
members could compare individual measurements<br />
and share workloads. Participants in the project are<br />
shown in Figure 2.<br />
Selection <strong>of</strong> <strong>Star</strong>s<br />
The selection <strong>of</strong> stars for observation and measurement<br />
were taken from the WDS Catalog, a webbased<br />
repository for double and multiple star information.<br />
The WDS is maintained by the United States<br />
Naval Observatory and is the world's principal database<br />
<strong>of</strong> astrometric double and multiple star information.<br />
The WDS Catalog contains positions (J2000),<br />
discoverer designations, epochs, position angles, separations,<br />
magnitudes, spectral types, proper motions<br />
and when available, Durchmusterung numbers and<br />
notes for the components <strong>of</strong> 108,581 systems based on<br />
793,430 means. The current version <strong>of</strong> the WDS is<br />
updated nightly. The selection <strong>of</strong> target stars resulted<br />
from reviewing the list <strong>of</strong> both common observed and<br />
neglected double stars referenced on the WDS main<br />
web page.<br />
In order to try and provide observational coverage<br />
<strong>of</strong> the widest range <strong>of</strong> double stars, the selection <strong>of</strong><br />
target stars <strong>of</strong>f the WDS website assigned to a research<br />
team consisted <strong>of</strong> the target star row location<br />
in the database corresponding to the research team<br />
identification number. For example, Team 1 candidate<br />
target list consisted <strong>of</strong> stars in rows 1, 6, 11, etc.<br />
Team 2 had candidates in rows 2, 7, 12, etc. This ap-
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Astrometric Measurements <strong>of</strong> Selected Visual <strong>Double</strong> <strong>Star</strong>s<br />
Figure 2: Fall 2011, Astronomy and Mathematics Learning Community<br />
proach provided an even distribution <strong>of</strong> target stars<br />
across the WDS list in the appropriate right ascension<br />
location.<br />
The actual selection <strong>of</strong> the stars for attempted<br />
observation was a critical step to the measurement <strong>of</strong><br />
the binary star systems. In order to select stars <strong>of</strong>f<br />
the WDS catalog, a series <strong>of</strong> specific guide lines were<br />
established and followed. The magnitude <strong>of</strong> the primary<br />
and secondary stars had to be less than magnitude<br />
8, anything greater was not visible through the<br />
telescope with the current observing location and conditions.<br />
The separation measurement was also a selection<br />
criteria in that the separation had to also lie<br />
between 7 and 200 arc seconds. The limitation <strong>of</strong> 7 arc<br />
seconds was a hard constraint due to only being able<br />
to measure about 1 separation hash mark on the MicroGuide<br />
eye piece. This corresponds to approximately<br />
7.43 arc seconds. Finally, the right ascension<br />
and declination coordinate had to be appropriate for<br />
location and the time <strong>of</strong> observing. [2]<br />
Visual Measurements <strong>of</strong> Selected Binary<br />
<strong>Star</strong>s<br />
Measurements <strong>of</strong> the separation distance and position<br />
angle <strong>of</strong> the selected binaries was accomplished<br />
using a standard visual observational approach. In<br />
order to produce high quality measurements, care<br />
was taken in calibrating the measurement instrument<br />
by performing a series <strong>of</strong> test measurements for<br />
validation <strong>of</strong> results before proceeding to the measurements<br />
<strong>of</strong> the target stars.<br />
MicroGuide Calibration<br />
As performed in the previous two semesters <strong>of</strong><br />
observing double stars, the technique for calibrating<br />
the MicroGuide was the standard star drift method.<br />
The calibration process was carried out using measurement<br />
data collected by each team and combining<br />
results for an average measure. The star used for calibration<br />
measurements was Vega at coordinates 18h<br />
36m 56.33s, +38 0 47’ 01.28”.<br />
Using a stopwatch, each team member timed the<br />
transit <strong>of</strong> Vega from one edge <strong>of</strong> the MicroGuide scale<br />
to the opposite edge. This process was repeated five<br />
times by each team member. After the measurements<br />
were taken, the data was collected and an average<br />
time <strong>of</strong> 38.139 seconds was arrived from the total<br />
number <strong>of</strong> measurements with a standard deviation<br />
<strong>of</strong> 1.544 seconds. Next a plot <strong>of</strong> the histogram was<br />
generated and using the standard deviation <strong>of</strong> 1.544<br />
seconds, outliers were identified and removed that fell<br />
outside a ± one standard deviation range. Using the<br />
adjusted average time in the formula “SC = Avg Time<br />
* Cos (Dec) / 4”, the class calculated that the scale<br />
constant to be 7.427 arc seconds per MicroGuide division.<br />
This scale constant was used to measure the<br />
separation distance between the binary stars chosen<br />
by each group. [3]<br />
The histogram <strong>of</strong> the timing measurements for<br />
Vega drift rates is shown in Figure 3. These measurements<br />
are contrasted against those taken in the fall<br />
2010 and spring 2011 semesters. Drift measurements<br />
were averaged to produce the calibration for the same<br />
observing system for the fall 2010 which resulted in<br />
an average <strong>of</strong> 38.26 seconds per drift. The corresponding<br />
histogram is shown in Figure 4. The separation<br />
was calculated to be 7.26 arc seconds.<br />
The process was repeated for spring 2011 which
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12<br />
10<br />
8<br />
Frequency<br />
6<br />
4<br />
2<br />
0<br />
31 31. 2 31.4 31.6 31.8 32 32.2 32.4 32.6 32.8 33 33.2 33.4<br />
Seconds per Drift<br />
Figure 3: Histogram <strong>of</strong> Timing Measurements for Fall 2011<br />
Figure 5: Histogram <strong>of</strong> Timing Measurements for Spring<br />
2011<br />
Frequency<br />
9<br />
8<br />
7<br />
6<br />
5<br />
4<br />
3<br />
2<br />
1<br />
0<br />
37 37.2 37.4 37.6 37.8 38 38.2 38.4 38.6 38.8 39 39.2<br />
Seconds per Drift<br />
Figure 4: Histogram <strong>of</strong> Timing Measurements for Fall 2010<br />
Table 1: Summary Results for MicroGuide Calibration<br />
Drift Measurement<br />
(sec)<br />
Scale<br />
(arcsec)<br />
Period Average 1 STD Average<br />
Fall 2010 38.26 0.38 7.26<br />
Spring 2011 32.21 0.43 7.39<br />
Fall 2011 38.14 1.54 7.43<br />
resulted in the histogram shown in Figure 5 with a<br />
mean drift time <strong>of</strong> 32.21 seconds. Based on the timing<br />
average, a separation between scale divisions was<br />
calculated to be 7.39 arc seconds.<br />
A review <strong>of</strong> the progression <strong>of</strong> the scale factor over<br />
three semesters <strong>of</strong> measurements is shown in Table 1.<br />
Notice that the arcsec distance for a MicroGuide division<br />
has been increasing. No apparent reason for the<br />
lengthening <strong>of</strong> the drift was found.<br />
Measurements Process<br />
As in the previous semesters observing sessions, a<br />
round robin technique was utilized for taking new<br />
measurement data. Separation was measured by orienting<br />
the selected double star systems along the Microguide’s<br />
linear scale, and noting their separation as<br />
indicated by the scale’s division marks. Position angle<br />
was then measured by aligning the binary systems<br />
along the linear scale, with the primary star directly<br />
on mark 30, and the secondary along the scale between<br />
marks 30 and 60. After the stars were aligned,<br />
the telescope’s tracking system was temporarily disabled,<br />
allowing the binary system to drift out <strong>of</strong> the<br />
eyepiece’s field <strong>of</strong> view. The binary system crossed<br />
over the circular scale which runs along the edge <strong>of</strong><br />
the telescope’s FOV, as this happened the position <strong>of</strong><br />
the secondary star along this circular scale was noted.<br />
These processes were repeated several times per system<br />
for separation accuracy. Summary <strong>of</strong> measurement<br />
data are shown in Table 2.
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Table 2: Summary Data for Measures Fall 2011<br />
WDS ID<br />
Discover<br />
Magnitudes Last Current<br />
Primary Sec Epoch PA SEP Epoch PA SEP<br />
21543+1943 STF2841A,BC 6.45 7.99 2010 110 22.3 2011.965 114 22.3<br />
20136+4644 STFA 50AC 3.93 6.97 2008 174 106.7 2011.965 174 111<br />
22038+6438 STF2863AB 4.45 6.4 2010 275 8 2011.957 267 6.9<br />
18562+0412 STF2417AB 4.59 4.93 2010 104 22.4 2011.764 99 24.7<br />
21069+3845 STF2758AB 5.2 6.05 2010 152 31.4 2011.778 175 34.2<br />
19050-0402 SHJ 286 5.52 6.98 2010 210 41.5 2011.835 210 38.2<br />
20375+3134 STFA 53AB 6.29 6.54 2003 177 182.7 2011.835 185 187.3<br />
19418+5032 STFA 46AB 6 6.23 2010 141 39.7 2011.822 310 51.3<br />
20467+1607 STF2727 4.36 5.03 2010 266 9 2011.778 280 12.1<br />
20302+1925 S 752AC 6.8 7.3 2001 288 106.7 2011.797 330 111.0<br />
12492+8325 STF1694AB 5.29 5.74 2008 236 21 2011.823 235 29.2<br />
15292+8027 STF1972AB 6.64 7.3 2010 169 31.4 2011.874 165 37.3<br />
21287+7034 STF2806AB 3.17 8.63 2009 250 14.1 2011.879 256 14.8<br />
Measurements <strong>of</strong> Selected Binary <strong>Star</strong>s<br />
using Tzec Maun Remote Telescope<br />
Background<br />
The Tzec Maun Takahashi Epsilon 180 remote<br />
telescope system was used to determine the utility <strong>of</strong><br />
utilizing a remote system to perform measurements<br />
on double star systems. Each team selected one star<br />
from their target list to image and then perform an<br />
analysis on the measured separation distance. Due to<br />
time constraints, only separation distances between<br />
the primary and secondary stars were measure and<br />
compared. The image analysis package used was the<br />
ImageJ. ImageJ is a public domain, Java-based image<br />
processing program developed at the National Institutes<br />
<strong>of</strong> Health. ImageJ was designed with an open<br />
architecture that provides extensibility via Java<br />
plugins and recordable macros<br />
Calibration <strong>of</strong> Imagery<br />
Σ2470 and Σ2474 is known as the <strong>Double</strong>-<strong>Double</strong>’s<br />
double located in the constellation Lyrae. Lying<br />
southeast <strong>of</strong> Epsilon Lyrae, the system consists <strong>of</strong> two<br />
similarly bright double stars set approximately 10<br />
arcminutes apart. Both double star systems have<br />
nearly identical separations and position angles.<br />
Σ2474 was chosen as the double star used for calibration<br />
being located at 19h 09.1m RA and +340 36’ Dec.<br />
[4]<br />
The image <strong>of</strong> Σ2474 taken with the Takahashi<br />
Epsilon 180 and ST-2000C camera is shown in Figure<br />
6.<br />
Based on utilizing the double star set with the<br />
known separation <strong>of</strong> 16 arc seconds, a scale factor <strong>of</strong><br />
0.0999 arc secs per ImageJ linear pixel measurement<br />
was derived. This value was then used to measure the<br />
separation distance <strong>of</strong> the target stars.<br />
Figure 6: Σ2474 used as Calibration <strong>Double</strong> <strong>Star</strong>
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Comparisons <strong>of</strong> Measurement Results<br />
between Visual and Remote Telescope<br />
Each team selected one star from their observing<br />
list to perform a comparison. The largest task turned<br />
out to be locating the target stars on the imagery.<br />
Various techniques were employed to match up the<br />
observed stars with imagery including going back to<br />
the telescope to confirm the visual field. The most<br />
productive approach was to image the selected area<br />
with varying exposure times and then comparing imagery<br />
to locate the target stars.<br />
Individual team assessments and comparisons<br />
are given below.<br />
Team 2<br />
Team 2 selected the double system STF2863AB<br />
(R.A: 22h 03m 47s DEC: +64d 37m 39s) for comparison<br />
analysis. The averaged separation distance for<br />
STF2863AB was measured as 6.9 arc seconds. Figure<br />
7 below shows the images <strong>of</strong> the same stars taken<br />
with the remote online telescope. Using the ImageJ<br />
s<strong>of</strong>tware, the amount <strong>of</strong> pixels in the line was obtained<br />
and using the conversion factor <strong>of</strong> approximately<br />
0.0999, a measured separation distance <strong>of</strong> 7.9<br />
arc seconds was acquired. The last measurement<br />
documented was taken in 2010 and indicated a separation<br />
distance <strong>of</strong> 8 arc seconds. The difference could<br />
be due to the fact that the eyepiece used was measure<br />
in 7.43 arc seconds per MicroGuide division mark<br />
which created a slight deviation compared to the remote<br />
telescope imagery measurements. The initial<br />
image showing a FOV <strong>of</strong> 80.5 x 60.4 arc minutes is<br />
shown in Figure 7 with an enlargement and separation<br />
measurement between the primary and secondary<br />
star shown in Figure 8.<br />
Team 3<br />
Team 3 initial list <strong>of</strong> stars proved difficult for initial<br />
observation. Five attempts were tried before the<br />
first star. STF1694AB (RA: 12h 49m 13.80s DEC:<br />
+83d 24m 46.3s) was located. Once the star was verified<br />
as being the target star, 15 measurements using<br />
the telescope were obtained. Once all team members<br />
took measurements, the mean was obtained and multiplied<br />
by the calibrated conversion factor to obtain<br />
28.93 arcseconds on the star. References in the WDS<br />
database indicated that the star had a measured<br />
separation <strong>of</strong> approximately 21 arc secseconds. The<br />
difference was attributed to lack <strong>of</strong> experience. With<br />
the learning curve behind the team, the next two<br />
stars measured were nearly dead on. The image taken<br />
with the Takahashi Epsilon 180 for STF1694AB is<br />
Figure 7: STF2863AB<br />
Figure 8: ImageJ Measurement <strong>of</strong> STF2863AB<br />
Figure 9: STF1694AB
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shown in Figure 9 and in addition to the binary stars<br />
<strong>of</strong> interest, showed many additional stars. After some<br />
additional work, the stars <strong>of</strong> interest were located and<br />
measuring the star separation (Figure 10) by pixeland<br />
utilizing the conversion factor <strong>of</strong> .0999 arcseconds per<br />
pixel, the separation distance matched up perfectly.<br />
Team 5<br />
Team 5 took a total <strong>of</strong> 20 measurements with the<br />
Meade 12” LX200GPS f/10 Schmidt-Cassegrain telescope<br />
on October 27, 2011. Each team member took 5<br />
measurements, rotating out, one at a time. We averaged<br />
a separation distance <strong>of</strong> 6.9 arc seconds for the<br />
binary stars STFA46AB (R.A: 19h 41m 48s DEC: +<br />
50d 32m 0s). The initial images <strong>of</strong> the same stars<br />
taken with a Takahashi Epsilon 180 telescope is<br />
shown in Figure 11. Using image s<strong>of</strong>tware, ImageJ,<br />
we calculated the amount <strong>of</strong> pixels in the line between<br />
the stars using a conversion factor <strong>of</strong> approximately<br />
0.0999 arcseconds per pixel. We measured a separation<br />
distance <strong>of</strong> 3.82 arc seconds with the image s<strong>of</strong>tware<br />
(Figure 12). We realized this was a significant<br />
difference so we measured again with the Meade 12”<br />
LX200GPS f/10 Schmidt-Cassegrain telescope and got<br />
the same result. We cannot account for the difference<br />
between the Meade 12” LX200GPS f/10 Schmidt-<br />
Cassegrain telescope and the Takahashi Epsilon 180<br />
but we made numerous attempts to verify our measurements.<br />
Team 4 obtained very accurate visual measurements<br />
<strong>of</strong> four double stars, but had difficultly locating<br />
the target stars in the Takahashi Epsilon 180 imaging.<br />
The lack <strong>of</strong> access back to the remote telescope<br />
forced the team not to be able to obtain imagery <strong>of</strong> the<br />
stars <strong>of</strong> interest; hence, their analysis is not included.<br />
Results <strong>of</strong> Comparison Analysis<br />
An analysis <strong>of</strong> the separation distances between<br />
selected double stars described by the individual<br />
teams above is shown in Table 2. It is clearly shown<br />
that the accuracy <strong>of</strong> using an online remote telescope<br />
system to obtain measurements <strong>of</strong> double star systems<br />
can be quite feasible. It also demonstrates the<br />
difficultly <strong>of</strong> obtaining the correct stars for measurement<br />
and if care is not taken, erroneous measurements<br />
can result.<br />
Conclusion<br />
These observations provide additional information<br />
for researchers to investigate the nature <strong>of</strong> binary<br />
systems.<br />
Figure 10: ImageJ Measurement <strong>of</strong> STF1694AB<br />
Figure 11: STFA46AB<br />
Figure 12: ImageJ Measurement <strong>of</strong> STFA46AB
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Table 2: Comparison <strong>of</strong> Observed and Imaged Measures<br />
Separation – Arcseconds<br />
<strong>Star</strong> WDS Observed Imaged<br />
Arcsec Difference<br />
to WDS<br />
STF2863AB 8 6.9 7.9 0.1<br />
STF1694AB 21 28.9 21 0<br />
STFA 46AB 39.7 51.3 38.2 35.9<br />
Acknowledgments<br />
We would to thank Estrella Mountain Community<br />
College for latitude in using equipment and facilities<br />
and especially the Tzec Maun Foundation for access<br />
to their remote telescope systems.<br />
References<br />
1. Ronald Charles Tanguay, "Observing <strong>Double</strong> <strong>Star</strong>s<br />
for Fun and Science", Sky and Telescope, 116-121,<br />
February 1999. Retrieved 17 July 2011 from website:<br />
http://www.skyandtelescope.com/observing/<br />
objects/doublestars/3304341.html<br />
2. Northern Hemisphere Sky Chart, Sky and Telescope<br />
Magazine, October 2011, page 44<br />
3. The Celestron Micro Guide Eyepiece Manual<br />
(#94171)<br />
4. James Mullaney, <strong>Double</strong> <strong>Star</strong>s <strong>of</strong> Summer, Sky and<br />
Telescope Magazine, July 2011, page 40
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Measurements <strong>of</strong> Beta Lyrae at the Pine<br />
Mountain Observatory Summer Workshop 2011<br />
Joseph Carro<br />
Cuesta College, San Luis Obispo, California<br />
Rebecca Chamberlain<br />
Evergreen State College<br />
Marisa Schuler, Timothy Varney<br />
Evergreen High School<br />
Robert Ewing<br />
Portland Community College<br />
Russell Genet<br />
Cuesta College, San Luis Obispo, California<br />
California Polytechnic State University, San Luis Obispo, California<br />
Abstract: As part <strong>of</strong> the Pine Mountain Observatory Summer Workshop 2011, high school<br />
and college students joined with an experienced observer to learn the use <strong>of</strong> a telescope, astrometric<br />
techniques, and measure a double star. This workshop was the first time these<br />
students operated a telescope, and, thus, constituted an educational experience for them as<br />
they used the telescope and took the measurements. The double star Beta Lyrae was<br />
measured resulting in a separation <strong>of</strong> 44.3 arc seconds and a position angle <strong>of</strong> 151.6 degrees.<br />
The Washington <strong>Double</strong> <strong>Star</strong> catalog (2009 data) lists a separation <strong>of</strong> 45.4 arc seconds<br />
and a position angle <strong>of</strong> 148 degrees<br />
Introduction<br />
Beta Lyrae was first determined to be a double<br />
star by John Goodricke in 1784. Beta Lyrae has<br />
catalog designations <strong>of</strong> 10 Lyrae, AAVSO 1846+33,<br />
BD+33°3223, FK5 705, HD 174638, HIP 92420,<br />
HR 7106, SAO 67451, and WDS 18501+3322. Its<br />
traditional name is Sheliak. Its precise coordinates<br />
as given by the Washington <strong>Double</strong> <strong>Star</strong> Catalog are<br />
185004.79+332145.6.<br />
This double star is located at the southwestern<br />
tip <strong>of</strong> the parallelogram that makes the body <strong>of</strong><br />
the Harp, and is referred to as Sheliak, an Arabic<br />
word that means “harp”. Sheliak is a spectroscopic<br />
binary whose proximity is such that the two stars<br />
constantly distort each other and constitute an<br />
eclipsing binary. Sheliak's variations are visible to<br />
the naked eye, and were discovered in 1784.<br />
The two goals <strong>of</strong> this project were to 1) measure<br />
the position angle and separation <strong>of</strong> the aforementioned<br />
double star, and 2) learn the necessary<br />
techniques to conduct this research.<br />
<strong>Observations</strong><br />
The observations were made using a Celestron<br />
model CPC 1100 telescope. This telescope is computerized<br />
and motorized and was fitted with a Celestron<br />
12.5 mm astrometric eyepiece. The telescope is <strong>of</strong><br />
Schmidt-Cassegrain design, with aperture <strong>of</strong> 11<br />
inches and a focal length <strong>of</strong> 2,800 mm.<br />
Following the procedure provided by Celestron<br />
Corporation, the Micro Guide eye piece was oriented<br />
with the celestial coordinate system using the primary<br />
star <strong>of</strong> the double star Beta Lyrae. Once the
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Measurements <strong>of</strong> Beta Lyrae at the Pine Mountain Observatory Summer Workshop 2011<br />
orientation was completed, 12 drift time measurements<br />
were made, with an average value <strong>of</strong> 33.54 seconds,<br />
and a standard deviation <strong>of</strong> 0.335 seconds. That<br />
average was used to calculate the scale constant using<br />
the formula Z = 15.0411 times T average times the<br />
cosine (0.83581) <strong>of</strong> the declination angle (33.30 o ) divided<br />
by 60 (the number <strong>of</strong> reticle divisions) as given<br />
by Frey (2008).<br />
15.0411T ave cos( δ )<br />
Z =<br />
D<br />
The result was a scale constant <strong>of</strong> 7.02 arc seconds<br />
per division.<br />
The primary star was placed on the linear<br />
scale, and 10 separation measurements were taken.<br />
The primary star was relocated and advanced on the<br />
linear scale prior to each measurement. The average<br />
value was 6.3 with a standard deviation <strong>of</strong> 0.26 and a<br />
standard error <strong>of</strong> the mean <strong>of</strong> 0.08. The average<br />
value was used to calculate the separation, which was<br />
44.3 arc seconds.<br />
The position angle measurements were made<br />
by aligning both stars on the linear scale with the primary<br />
star at the 30 o division, disabling the tracking<br />
feature, and then allowing the stars to drift to the<br />
Table 1: Our measurements and some past published<br />
measurements <strong>of</strong> β Lyrae.<br />
Reference<br />
Separation Position Angle<br />
arc seconds<br />
degrees<br />
WDS (Mason+ 2007) 1777<br />
data<br />
48.9 143<br />
SKY2000 Master Catalog<br />
(Meyers+ 1994)<br />
45.7 149<br />
<strong>Star</strong>gazer<br />
(richardbell.net) 1996<br />
46 149<br />
<strong>Double</strong> <strong>Star</strong>s<br />
(Haas 2008) 2002 data<br />
46 150<br />
Eagle Creek Observatory<br />
(Muenzler) 2003<br />
46.6 149<br />
<strong>JDSO</strong> (Muller) Spring<br />
2007<br />
47.4 150.5<br />
<strong>JDSO</strong> (Muller) Winter<br />
2007<br />
46.4 148.8<br />
WDS (Mason + ) 2007 48 148<br />
<strong>JDSO</strong> (Arnold) 2009 45.5 149.9<br />
<strong>JDSO</strong> (Martín) Winter<br />
2009<br />
45.6 148<br />
WDS (Mason+ 2011) 2009<br />
data<br />
45.4 148<br />
Tycho Catalog 2011 45.7 148.5<br />
Our measurements 2011 44.3 151.6<br />
circular scales. The crossing <strong>of</strong> the primary star at<br />
the inner scale was approximated to the nearest degree<br />
as the scale has divisions <strong>of</strong> 5 o . Following each<br />
measurement, the tracking feature was enabled and<br />
the process was repeated.<br />
On 26 July 2011 beginning at 10:40pm PDT, position<br />
angle measurements were taken. Due to winds<br />
and fog, only seven measurements were taken with<br />
an average value <strong>of</strong> 151.6 o , a standard deviation <strong>of</strong><br />
2.3 o , and a standard error <strong>of</strong> the mean <strong>of</strong> 0.86 o . Our<br />
results plus some historical measurements are given<br />
in Table 1.<br />
Conclusions<br />
The position angle average and the separation <strong>of</strong><br />
the double star Beta Lyrae were successfully measured.<br />
An understanding <strong>of</strong> the time and effort to<br />
learn the techniques to accomplish these tasks was<br />
imparted to the participants, and it is deemed that<br />
the goals <strong>of</strong> the project were met.<br />
Acknowledgements<br />
Heartfelt appreciation is extended to Russell<br />
Genet for his pr<strong>of</strong>essional guidance and instruction in<br />
the completion <strong>of</strong> this project. We were appreciative<br />
<strong>of</strong> the efforts made by Thomas Frey in his management<br />
<strong>of</strong> the Workshop. Our team is grateful to the<br />
University <strong>of</strong> Oregon and the staff at the Pine Mountain<br />
Observatory for the use <strong>of</strong> their facilities, and to<br />
John Baxter for his review <strong>of</strong> this paper.<br />
References<br />
Arnold, D. “Divinus Lux report #16”, <strong>Journal</strong> <strong>of</strong> <strong>Double</strong><br />
<strong>Star</strong> <strong>Observations</strong>, vol. 5 no. 1 Winter 2009<br />
Daley, J., 2006, “<strong>Double</strong> <strong>Star</strong> Measures for the year<br />
2005”, The <strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>,<br />
vol 2 no 2 Spring 2006<br />
Frey, Thomas, 2008, “Visual <strong>Double</strong> <strong>Star</strong> Measurement<br />
with an Alt-Azimuth Telescope”, <strong>Journal</strong> <strong>of</strong><br />
<strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>, vol 4 no 2 Spring 2008<br />
Haas, S. 2008, “<strong>Double</strong> <strong>Star</strong>s for Small Telescopes”,<br />
Sky Publishing Corporation<br />
H<strong>of</strong>fleit, D. and Warren, W., 1991, The Bright <strong>Star</strong><br />
Catalogue, 5th Revised Edition, Yale University<br />
Martín, E, “CCD <strong>Double</strong> <strong>Star</strong> Measurements), <strong>Journal</strong><br />
<strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>, vol. 5 no. 1 Winter<br />
2009
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Page 152<br />
Measurements <strong>of</strong> Beta Lyrae at the Pine Mountain Observatory Summer Workshop 2011<br />
Mason, B., Wyc<strong>of</strong>f, G., Hartkopf, W., Douglass, G.,<br />
Worley, C., 2010, Washington <strong>Double</strong> <strong>Star</strong> Catalog<br />
Muller, R., Cerosimo, J., Miranda, V., Martinez, C.<br />
Carrion, P., Cotto, D. Rosado-de Jesus, I. Centeno,<br />
D. Rivera, L., “Observation Report 2003-2004”,<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>, vol. 3 no. 1<br />
Winter 2007<br />
Muller, R., Cerosimo, J., Miranda, V., Martinez, C.,<br />
Cotto, D. Rosado-de Jesus, I. Centeno, D. Rivera,<br />
L. “Observation Report 2005”, <strong>Journal</strong> <strong>of</strong> <strong>Double</strong><br />
<strong>Star</strong> <strong>Observations</strong>, vol. 3 no. 2 Spring 2007<br />
Tycho Catalogue, 2011 from its website<br />
www.rssd.esa.int
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Visual Astrometry <strong>Observations</strong> <strong>of</strong> the Binary<br />
<strong>Star</strong> Beta Lyrae<br />
S. Jananne Collins 1 , Kyle M. Berlin 1 , Clare E. Cardoza 1 , Chris D. Jordano 1 , Tatum A.<br />
Waymire 1 , Doug P. Shore 1 , John Baxter 1 , Robert Johnson 1 , Joseph Carro 2 , and Russell<br />
M. Genet 2<br />
1. Arroyo Grande High School, CA 93420<br />
2. Cuesta College, San Luis Obispo, CA 93403<br />
Abstract: Students from Arroyo Grande High School and Cuesta College observed the separation and<br />
position angle <strong>of</strong> the binary star Beta Lyrae (WDS 18501+3322 ). The separation and position angle were<br />
found to be 46.7 arc seconds and 149.6° respectively. These values compared favorably to past observations.<br />
Introduction<br />
Beta Lyrae was first observed in 1777 (Mason,<br />
2011). We determined its current separation and position<br />
angle as a part <strong>of</strong> the fall 2011 Astronomy Research<br />
Seminar at Cuesta College’s South Campus in<br />
Arroyo Grande, CA. This was the fifth year this<br />
seminar was held at Arroyo Grande High School and<br />
we built on the experiences <strong>of</strong> past student projects<br />
(Alvarez et al., 2009; Marble et al., 2008). Visual observations<br />
are relatively easy to make, and thus are<br />
well suited to novice researchers. Seven student observers<br />
joined telescope owner Joseph Carro on July<br />
2, 2011 at Santa Margarita Lake to observe β Lyrae.<br />
Procedure<br />
The observations were made with an 11 inch Celestron<br />
model CPC 1100 telescope <strong>of</strong> Schmidt-<br />
Cassegrain design and 2,800 mm focal length to determine<br />
the separation and position angle <strong>of</strong> Beta<br />
Lyrae. This telescope is computerized and motorized,<br />
and was fitted with a Celestron 12.5 mm Micro<br />
Guide astrometric eyepiece.<br />
Figure 1: From left to right, Kyle Berlin, Sarah Collins, Joseph<br />
Carro, Chris Jordano, Clare Cardoza, and Tatum Waymire<br />
For calibration, the linear scale was oriented east<br />
-west with the celestial sphere by slewing the telescope<br />
east and west and rotating the eyepiece until<br />
the primary star <strong>of</strong> Beta Lyrae did not deviate from
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the linear scale. The date for the calibration was obtainted<br />
by aligning the primary star at one end <strong>of</strong> the<br />
linear scale, turning the right ascension motor <strong>of</strong>f,<br />
and determining the time it took for the star to travel<br />
to the other end <strong>of</strong> the linear scale.<br />
Thereafter, the scale constant was determined by<br />
the equation below, where Z is the scale constant in<br />
arc seconds per division, 15.0411 is the number <strong>of</strong> arc<br />
seconds per second <strong>of</strong> the Earth’s rotation, t is the<br />
average drift time in seconds, d is the declination <strong>of</strong><br />
the star, and D is the number <strong>of</strong> divisions on the linear<br />
scale (60) (Frey, 2008):<br />
Table 2: Data for Position Angle and Separation<br />
Separation (as) Position Angle (deg)<br />
Mean 46.7 149.6<br />
St. Dev. 0.3 0.8<br />
St. Error 0.7 3.7<br />
Z<br />
=<br />
15.0411 t cos( d)<br />
D<br />
Eleven position angle measurements were made<br />
by aligning both stars on the linear scale with the primary<br />
star on the 30 division, disabling the tracking<br />
feature and allowing the primary star to drift across<br />
the eyepiece. The point at which the primary star intersected<br />
the inner protractor was estimated to the<br />
nearest degree. After each measurement, the tracking<br />
feature was enabled and the process repeated.<br />
The separation was determined by placing the<br />
primary star on the linear scale, and estimating the<br />
scale divisions between the two stars. This process<br />
was repeated a total <strong>of</strong> twelve times.<br />
Scale Constant<br />
Four team members conducted four drift time<br />
measurements each, resulting in a total <strong>of</strong> sixteen<br />
measurements. The scale constant was calculated by<br />
the procedures described above. The results are<br />
shown in Table 1. Included are drift time, the mean,<br />
standard deviation, and the standard error <strong>of</strong> the<br />
mean, calculated by Micros<strong>of</strong>t Excel. The scale constant<br />
was found to be 7.17 arc seconds per division.<br />
Separation and Position Angle<br />
The objective <strong>of</strong> observing the binary star Beta<br />
Lyrae was to determine the current separation and<br />
position angle between the two stars. In order to<br />
avoid bias, three team members whispered each<br />
measurement privately to the recorder so as to not<br />
influence the other team members. However, the eyepiece<br />
was not repositioned after each observation,<br />
which may have resulted in systematic error. Table 2<br />
indicates the mean, standard deviation, and standard<br />
error <strong>of</strong> the mean for separation and position angle.<br />
The calculations were completed using Micros<strong>of</strong>t Excel.<br />
Discussion and Conclusion<br />
The data compares favorably with historical observations.<br />
The position angle was found by our observations<br />
to be 149.6°, while the mean <strong>of</strong> all past observations<br />
reported in the Washington <strong>Double</strong> <strong>Star</strong><br />
Catalog is 148.9°. In terms <strong>of</strong> separation, we concluded<br />
it is currently 46.7 arc seconds, whereas the<br />
mean for all 102 WDS observations states it is 46.3<br />
arc seconds (Mason, 2011). A plot <strong>of</strong> previous observations<br />
compared to our data is shown below in Figures<br />
2 and 3.<br />
Table 1: Drift Time data for the primary star<br />
Drift Time (secs)<br />
Mean 31.5<br />
St. Dev. 1.7<br />
St. Error 1.4<br />
Acknowledgments<br />
This research has made use <strong>of</strong> the Washington<br />
<strong>Double</strong> <strong>Star</strong> Catalog maintained at the U.S. Naval<br />
Observatory. We would like to thank Brian Mason for<br />
his help in providing past observations. We also<br />
thank the external reviewers Jordan Fluitt, Akash<br />
Salam, and Betsie Wilson for their help in editing the<br />
paper.<br />
(Continued on page 156)
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Visual Astrometry <strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Beta Lyrae<br />
Figure 2: Our separation measurements compared to historical observations<br />
Figure 3: Our position angle measurement compared to historical observations
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Visual Astrometry <strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Beta Lyrae<br />
(Continued from page 154)<br />
References<br />
Alvarez, P. et al. 2009, “A Comparison <strong>of</strong> the Astrometric<br />
Precision and Accuracy <strong>of</strong> <strong>Double</strong><br />
<strong>Star</strong> <strong>Observations</strong> with Two Telescopes”, <strong>Journal</strong> <strong>of</strong><br />
<strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>, vol.5<br />
no.1.<br />
Frey, Thomas, 2008, “Visual <strong>Double</strong> <strong>Star</strong> Measurement<br />
with an Alt-Azimuth Telescope”,<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>, vol. 5 no. 1.<br />
Marble, S. et al. 2008, “High School <strong>Observations</strong> <strong>of</strong><br />
the Visual <strong>Double</strong> <strong>Star</strong> 3 Pegasi.”<br />
<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong>, vol. 4, no. 25.<br />
Mason, Brian, 2011, The Washington <strong>Double</strong> <strong>Star</strong><br />
Catalog. Astrometry Department, U.S.<br />
Naval Observatory.
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<strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Nu Draco<br />
Jordan Fluitt 1 , Everett Heath 1 , Bobby Johnson 1 , Grayson Ortiz 1 ,<br />
Hollie Charles 1 , Reed Estrada 3 , and Russell Genet 2<br />
1. Arroyo Grande High School, CA 93420<br />
2. Cuesta College, San Luis Obispo, CA 93403<br />
3. Central Coast Astronomical Society, San Luis Obispo, CA 93403<br />
Abstract: Using a 22-inch Dobsonian reflector telescope and a Celestron Micro Guide eyepiece,<br />
four students from Arroyo Grande High School and Cuesta College, along with one<br />
members from the Central Coast Astronomical Society, made observations, and estimated<br />
the separation and position angle <strong>of</strong> the visual double star Nu Draco. The mean separation<br />
was found to be 62.0 arc seconds, while the mean position angle was found to be 139.5°. The<br />
results compared favorably with past observations.<br />
Introduction<br />
This research project was part <strong>of</strong> the Fall 2011<br />
Cuesta College Astronomy Research Seminar held at<br />
Arroyo Grande High School. <strong>Observations</strong> were conducted<br />
at Santa Margarita Lake on October 29, 2011<br />
(Besselian Epoch 2011.826), with a 22-inch Dobsonian<br />
telescope constructed by Reed and Chris<br />
Estrada.<br />
The objectives <strong>of</strong> this project were to: give new<br />
students the opportunity to collect data in the field<br />
with an experienced astronomer (Reed Estrada); allow<br />
students to experience the process <strong>of</strong> analyzing<br />
data as well as the drafting, completing, and reviewing<br />
a scientific paper; and contribute data on this<br />
double star to the growing number <strong>of</strong> reports.<br />
The binary star Nu Draco, 173215.88+551022.1<br />
per the Washington <strong>Double</strong> <strong>Star</strong> Catalog, was chosen<br />
for its relatively bright magnitudes (both are magnitude<br />
4.9) and its fairly wide separation <strong>of</strong> 63.4″<br />
[Mason 2007].<br />
The authors observed the binary star nu-1 and<br />
nu-2 in Draco, recording data during the observation,<br />
Figure 1: From left to right: Hollie Charles, Jordan Fluitt,<br />
Everett Heath, Grayson Ortiz, Russ Genet, and Reed Estrada.<br />
They pause before making their observations at Santa Margarita<br />
Lake’s <strong>Star</strong> Hill in Santa Margarita, California.<br />
and later analyzing the data to form a scientific paper.<br />
Except for Estrada and Genet, all <strong>of</strong> the authors<br />
were new to astronomical observations.<br />
Nu Draco is composed <strong>of</strong> nu-1, an A6 dwarf star,<br />
and nu-2, an A4 dwarf star. Nu Draco is also known
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<strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Nu Draco<br />
Table 1: Data observed and recorded for the binary star Nu Draco.<br />
Drift Time<br />
(seconds)<br />
Separation<br />
(arc seconds)<br />
Position Angle<br />
(degrees)<br />
Mean 51.3 62 310.5<br />
Standard Deviation 0.6 3.0 2.9<br />
Standard Error 0.2 1.5 0.9<br />
# <strong>of</strong> <strong>Observations</strong> 10 4 10<br />
as a “metallic line” star due to its slow rotation rate.<br />
The period <strong>of</strong> rotation for the stars around one another<br />
is about 44,000 years [Kaler].<br />
Equipment and Procedures<br />
A 22-inch Dobsonian mount (constructed by Reed<br />
and Chris Estrada and shown above in Figure 1) was<br />
equipped with a Celestron Micro Guide (see Figure 2<br />
below).<br />
The drift method was used to determine the scale<br />
constant in arc seconds per division using the liner<br />
scale in the Celestron Micro Guide eyepiece. The primary<br />
star nu-1, with nu-2 positioned below it, was<br />
placed on the linear scale and allowed to drift across<br />
the 60-division linear scale. After each measurement,<br />
the pair was repositioned by gently moving the telescope.<br />
Ten recordings <strong>of</strong> drift time were taken with no<br />
outliers. The drift time was measured with an iPhone<br />
-4 stopwatch with a resolution <strong>of</strong> 0.1 seconds.<br />
The position angles <strong>of</strong> the two stars were measured<br />
ten times on the 60 division scale. The eyepiece<br />
was rotated 180 degrees after each observation to reduce<br />
bias. The telescope was readjusted manually<br />
after each recording in order to reset the star’s position<br />
in the eyepiece. The separation <strong>of</strong> the stars was<br />
estimated by counting the number <strong>of</strong> graduations<br />
while holding the telescope steady and manually adjusting<br />
it to counteract the rotation <strong>of</strong> the Earth. We<br />
made these measurements four times.<br />
<strong>Observations</strong> and Results<br />
The values <strong>of</strong> the times it took the stars to drift<br />
across our eyepiece were consistent with no outliers,<br />
yielding an average <strong>of</strong> 51.33 seconds in 10 trials. We<br />
determined the scale constant to be 7.34 arc seconds<br />
per division using the formula:<br />
z =<br />
15.0411( t)cos( d)<br />
D<br />
where: z is the scale constant in arc seconds per division,<br />
15.0411 is the number <strong>of</strong> arc seconds per second<br />
<strong>of</strong> the Earth’s rotation, t is the average drift time, d is<br />
the declination <strong>of</strong> the star, and D is the number <strong>of</strong><br />
divisions on the linear scale (60)<br />
The average position angle was found to be 139.5<br />
degrees, and the average separation was found to be<br />
62.0 arc seconds. The separation was found by multiplying<br />
each value we measured by our scale constant<br />
<strong>of</strong> 7.34 arc seconds per division.<br />
Figure 2: The illuminated reticle <strong>of</strong> the Celestron Micro<br />
Guide.<br />
Discussion and Conclusion<br />
During the class, the group made observations on<br />
the position angle and separation <strong>of</strong> the double star,<br />
Nu Draconis. Afterwards, the data were compiled into<br />
a scientific paper that described the equipment, observational<br />
methods, and processes that were used.<br />
Our observations compare favorably with those
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<strong>Observations</strong> <strong>of</strong> the Binary <strong>Star</strong> Nu Draco<br />
reported by Haas [Haas 2006]. Where our separation<br />
was 62 arc seconds, hers was 63 arc seconds. Where<br />
our position angle was 310.5 degrees, hers was 311<br />
degrees.<br />
Our observations also compare favorably with the<br />
last (2010) observation <strong>of</strong> Nu Draco reported in the<br />
Washington <strong>Double</strong> <strong>Star</strong> Catalog [Mason 2010],<br />
which was made in 2010. The last observation measured<br />
311 arc seconds as their separation, while we<br />
measured 310.5. Where the last observation’s separation<br />
was 62, ours was also 62.<br />
All <strong>of</strong> our goals were met with this project. The<br />
students learned to make scientific observations<br />
alongside an experienced astronomer, they collected<br />
data and wrote a scientific paper, and they contributed<br />
data on the star.<br />
Acknowledgements<br />
This research has made use <strong>of</strong> the Washington<br />
<strong>Double</strong> <strong>Star</strong> Catalog maintained at the U.S. Naval<br />
Observatory. We wish to thank external reviewers<br />
Joseph Carro, Sarah Collins, Thomas Frey and Vera<br />
Wallen for assisting us in the improving <strong>of</strong> our paper.<br />
References<br />
1. Haas, Sissy, 2006, <strong>Double</strong> <strong>Star</strong>s for Small Telescopes.<br />
Sky Publishing, Cambridge, MA.<br />
2. Kaler, Jim, (http://stars.astro.illinois.edu/sow/<br />
kuma.html)<br />
3. Mason, Brian, 2010, The Washington <strong>Double</strong> <strong>Star</strong><br />
Catalog. Astronometry Department, U.S. Naval<br />
Observatory.
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Three New Common Proper Motion Binaries in<br />
Cetus, Pisces and Leo Minor Constellations<br />
F. M. Rica<br />
Astronomical Society <strong>of</strong> Mérida,<br />
C/Toledo, no1 Bajo,<br />
Mérida E-06800, Spain<br />
<strong>Double</strong> <strong>Star</strong> Section <strong>of</strong> LIADA,<br />
Avda. Almirante Brown 5100 (Costanera),<br />
S3000ZAA Santa Fe, Argentina<br />
frica0@gmail.com<br />
Abstract: I present three new common proper motion binaries discovered during a project<br />
<strong>of</strong> measuring and study <strong>of</strong> neglected double stars. In addition to this, I present the study <strong>of</strong><br />
two binaries also found by me but listed recently in the WDS catalog. Forty-four measures<br />
<strong>of</strong> position angles and angular distances were performed using public photographic and<br />
digital online surveys and catalogs with epoch between 1953 and 2011. The astronomical<br />
literature was consulted and my astrophysical characterization was determined by parameters<br />
such as spectral types, absolute magnitudes, distances, stellar masses, tangential velocities,<br />
reddening, etc. A dynamical study allowed me to classify these pairs <strong>of</strong> stars according<br />
to their nature. Four <strong>of</strong> them were classified as candidate common origin binaries and<br />
one as a candidate to be a binary with stellar components gravitationally bound<br />
1. Introduction<br />
A year ago, LIADA <strong>Double</strong> <strong>Star</strong> Section started a<br />
project called MIEDA, Medición y Estudio de Estrellas<br />
Dobles Abandonadas (Measuring and Study <strong>of</strong><br />
Neglected <strong>Double</strong> <strong>Star</strong>s). In a first phase <strong>of</strong> this project<br />
we used the ALADIN tool (Bonnarel et al. 2000)<br />
using a designed script, to identify neglected double<br />
stars. In this phase I found 5 uncataloged common<br />
proper motion pairs, although two <strong>of</strong> them were recently<br />
listed in WDS during the edition <strong>of</strong> this work.<br />
In this work I performed relative (θ and ρ) astrometric<br />
measures using photographic and digital<br />
online surveys in addition to astrometric catalogs<br />
(2MASS). A search for photometric and kinematical<br />
information was done in the astronomical literature.<br />
Finally astrophysical characterizations <strong>of</strong> the stellar<br />
components and a dynamic study <strong>of</strong> the double stars<br />
were performed.<br />
The <strong>org</strong>anization <strong>of</strong> this paper is as follows. In<br />
Section 2, I present the astrometric measures. In<br />
Section 3, I detail the astrophysical study. In Section<br />
4, I discuss the study <strong>of</strong> the nature <strong>of</strong> these pairs.<br />
Section 5, includes detailed comments about the<br />
studied binaries. Finally in Section 6, I present my<br />
conclusions.<br />
2. Measures <strong>of</strong> Position Angles and Angular<br />
Distances<br />
In this work I use photographic plates from Digitized<br />
Sky Survey (hereafter DSS), and digital surveys<br />
such as DENIS (Deep Near Infrared Survey <strong>of</strong>
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Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
the Southern Sky) in I, J, and K bands and SDSS<br />
(Sloan Digital Sky Survey) in ugriz bands. In addition<br />
to this, the astrometry <strong>of</strong> 2MASS catalog was<br />
used to obtain θ and ρ measures.<br />
Antonio Agudo Azcona (AAA) performed an astrometric<br />
measure <strong>of</strong> FMR 27 in 2011 using a Schmidt-<br />
Cassegrain <strong>of</strong> 20 cm <strong>of</strong> diameter. The image was<br />
taken using a CCD Atik 16IC-S monochrome and a<br />
reduced focal Hirsch SCT f/6.3. This configuration<br />
gave a focal length <strong>of</strong> 1384 mm, a scale <strong>of</strong> 1.24 arcsec<br />
and a field <strong>of</strong> view <strong>of</strong> 16.1' x 12.0'.<br />
Ramón Palomeque Messía (RPM) also performed<br />
an astrometric measure <strong>of</strong> FMR 27 using a Schmidt-<br />
Cassegrain <strong>of</strong> 20 cm <strong>of</strong> diameter. The image was<br />
taken using a Orion SSDS-II Color camera. He took<br />
500 images <strong>of</strong> 1 second exposure time and later<br />
stacked 100 images using Maxim. Reduc was used for<br />
the astrometric measure.<br />
Table 1 lists Forty-four position angles (θ) and<br />
angular distances (ρ) measures with observational<br />
epochs between 1953 and 2011. This table gives the<br />
WDS name (or the proposed name for those binaries<br />
not listed in WDS) in column (1), the Besselian observational<br />
epoch, the position angle and angular distances<br />
in columns (2)-(4); the aperture <strong>of</strong> the telescope<br />
(in inches) in column (5) and finally, in the last column<br />
the method used to obtain the relative astrometry:<br />
• DSS: photographic plates from Digitized Sky<br />
Survey<br />
• DENIS-band: digital images from DENIS.<br />
“band” is the photometric band used in the<br />
image (I, J, and K).<br />
• SDSS-band: digital images from SDSS.<br />
“band” is the photometric band used in the<br />
image .<br />
• 2MASS: astrometry from 2MASS catalog<br />
3. The Astrophysical Study<br />
A detailed astrophysical study <strong>of</strong> the new stellar<br />
systems and for the stellar components was performed<br />
(see Table 2). The guidelines <strong>of</strong> the astrophysical<br />
study were published in Benavides et al. (2010) in<br />
sections 3 to 10. The astrophysical data were corrected<br />
for interstellar reddening. The reddening was<br />
nearly negligible except for LEP 121 which E(B-V) =<br />
0.09. In the followed subsections I add new points to<br />
the astrophysical guidelines.<br />
3.1 Photometry<br />
Photometric information was obtained from the<br />
following catalogs:<br />
• the infrared J, H, and K photometry from 2MASS<br />
(Hog et al. 2000) catalog,<br />
• the V magnitude was determined using the red magnitudes<br />
from CMC14 (CMC 2006) and UCAC3<br />
(Zacharias et al. 2009). For more detail, see the work<br />
published by Rica (2011a).<br />
• I consulted the SDSS (Adelman-McCarthy J.K. et al.<br />
2009) catalog. The ugriz photometry was converted<br />
to V, U-B, B-V, V-I Johnson photometry. For more<br />
detail about this transformation see the work published<br />
by Rica (2011a). Where SDSS photometry is<br />
available , we use the V magnitude determined if the<br />
star is weaker that 15 magnitude in g band.<br />
4. Are These <strong>Double</strong> <strong>Star</strong>s Gravitationally<br />
Bound<br />
In Benavides et al. (2010), in section 9, and in<br />
Rica (2011b) I described in detail the criteria used to<br />
determine the nature <strong>of</strong> the pairs. The relative motions<br />
<strong>of</strong> the systems were calculated plotting rectangular<br />
coordinates x = ρ * sin θ and y = ρ * cos θ (prior<br />
to correction <strong>of</strong> θ for precession and proper motion)<br />
against time (read the Appendix in Rica (2011b)). The<br />
scope <strong>of</strong> the weighted linear fit (calculated using<br />
Mathematica 5.0) gave the value <strong>of</strong> the relative<br />
proper motion in arcsec*yr -1 . The initial weights for<br />
measures were assigned using a data weighting<br />
scheme published in Rica (2010).<br />
If the distance is known then I can convert the<br />
relative motion in relative velocity (in km s -1 or in AU<br />
yr -1 ), a key datum to determine if Keplerian motion is<br />
possible in these stellar systems. Often the uncertainties<br />
in the observational data don’t allow the determination<br />
with certainty the nature <strong>of</strong> the pair. In that<br />
case, I determined the probability that a double star<br />
is gravitationally bound.<br />
For this, I use celestial mechanics to determine if<br />
the relative projected velocity <strong>of</strong> B with respect to A is<br />
smaller than the maximum orbital velocity or the escape<br />
velocity. I analyzed the probability that a binary<br />
is a gravitationally bound system using a Monte<br />
Carlo simulation with 25,000 iterations. Monte Carlo<br />
methods are a class <strong>of</strong> computational procedures that<br />
rely on repeated random sampling to compute their<br />
results. For more detail, see section 5.2 <strong>of</strong> the work <strong>of</strong><br />
Rica (2011b).<br />
(Continued on page 164)
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Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
Table 1: Astrometric measures.<br />
<strong>Double</strong> Epoch θ (deg) ρ (as) Aperture Observer Method<br />
FMR 26 1954.675 205.77 20.19 48 FMR DSS<br />
1954.675 205.48 20.79 48 FMR DSS<br />
1977.637 204.69 20.29 48 FMR DSS<br />
1981.767 205.61 20.05 48 FMR DSS<br />
1982.633 205.40 20.37 48 FMR DSS<br />
1995.826 204.83 20.08 48 FMR DSS<br />
1996.866 205.07 20.39 48 FMR DSS<br />
1997.808 205.31 20.18 48 FMR DSS<br />
1998.626 205.50 20.23 51 FMR 2MASS<br />
1999.595 205.65 20.34 39 FMR DENIS-I<br />
1999.595 205.81 20.13 39 FMR DENIS-J<br />
FMR 27 1953.779 171.65 363.056 48 FMR DSS<br />
1953.779 171.58 362.785 48 FMR DSS<br />
1983.682 171.56 362.525 48 FMR DSS<br />
1990.810 171.54 363.164 48 FMR DSS<br />
1993.622 171.52 363.224 48 FMR DSS<br />
1995.801 171.57 363.220 48 FMR DSS<br />
1997.828 171.54 362.94 51 FMR 2MASS<br />
2011.907 171.50 362.85 8 AAA CCD<br />
2011.983 171.49 362.69 8 RPM CCD<br />
LEP 122 1958.524 200.6 7.3 48 FMR DSS<br />
1974.61 200.5 7.35 48 FMR DSS<br />
1979.629 194.0 6.98 48 FMR DSS<br />
1980.559 190.3 7.23 48 FMR DSS<br />
1987.378 199.5 7.15 48 FMR DSS<br />
1992.41 202.9 6.48 48 FMR DSS<br />
1996.699 199.9 6.64 48 FMR DSS<br />
1998.53 199.8 7.22 39 FMR DENIS-K<br />
1998.53 200.5 7.17 39 FMR DENIS-I<br />
1998.53 199.4 7.09 39 FMR DENIS-J<br />
1999.507 200.6 7.21 51 FMR 2MASS<br />
LEP 121 1976.483 134.2 3.53 48 FMR DSS<br />
1996.545 134.0 4.70 48 FMR DSS<br />
1998.414 130.7 4.09 51 FMR 2MASS<br />
FMR 28 1955.29 138.49 18.56 48 FMR DSS<br />
1983.849 139.14 18.43 48 FMR DSS<br />
1989.928 139.01 18.81 48 FMR DSS<br />
1993.197 138.82 18.68 48 FMR DSS<br />
1998.217 139.00 18.70 51 FMR 2MASS<br />
1999.96 138.79 18.73 48 FMR DSS<br />
2004.083 138.90 18.70 98 FMR SDSS-g<br />
2004.083 138.91 18.58 98 FMR SDSS-g<br />
2004.083 139.05 18.63 98 FMR SDSS-g<br />
2004.083 138.75 18.64 98 FMR SDSS-g
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Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
FMR 26 FMR 27 LEP 122 LEP 121 FMR 28<br />
A B A B A B A B A B<br />
RA2000 01h 06m 20.62s 01 h 07 m 27.07 s 18h 29m 16.90s 17 h 08 m 25.59 s 10 h 00 m 19.13 s<br />
DEC 2000 -22º 24’ 45.0” +24º 53’ 41.8” -30º 59’ 48.9” -22º 09’ 24.0” +31º 19’ 42.2”<br />
V 16.53 a) 19.2 b) 12.72 a) 15.42 a) 13.87 a) 14.65 a) 16.5 g) 17.5 g) 15.63 f) 18.93 f)<br />
B – V --- --- --- --- --- --- --- --- --- ---<br />
V – I --- --- --- --- --- --- --- --- --- ---<br />
K c) 12.38 13.45 10.65 12.11 9.49 9.94 12.21 12.79 13.21 15.18<br />
J – H c) +0.60 +0.55 +0.42 +0.61 +0.48<br />
+0.51<br />
0.51<br />
+0.47 +0.48 +0.57 +0.51<br />
H – K c) +0.22 +0.28 +0.07 +0.16 +0.28 +0.22 +0.24 +0.25 +0.15 +0.23<br />
J – K c) +0.82 +0.83 +0.50 +0.77 +0.76 +0.73 +0.71 +0.73 +0.72 +0.74<br />
V-K +4.15 +5.80 +2.07 +3.31 +4.38 +4.71 +4.3 +4.7 +3.14 +4.49<br />
-36.4 -30.7 +130 +138<br />
μ(α) [mas/yr]<br />
± 4 d) ± 4 d) ± 2 d) ± 4 d) +457 d) -29.5 -28.5<br />
+460 +368 +361<br />
± 4.2 d) ± 4.3 d)<br />
μ(δ) [mas/yr]<br />
Table 2: Astrophysical data for the stellar component <strong>of</strong> the binaries.<br />
-99.0 -98.5 -4 -5<br />
± 4 d) ± 4 d) ± 2 d) ± 4 d) -158 d) -155 +366 +367<br />
-56.3<br />
±4. 2<br />
d)<br />
-62.4<br />
± 4.3 d)<br />
Spectral Type e) M2V M4.5V G9V K7V M2.5V M3V M3VI M5VI K6V M2.5V<br />
Distance [pc] e) 192 118 212 228 43 41 108 113 385 383<br />
Mv e) 10.06 13.80 5.95 8.46 10.64 11.53 11.04 11.96 7.64 10.95<br />
BC e) -1.76 -2.46 -0.22 -0.65 -1.90 -2.03 -2.1 -2.5 -0.57 -1.90<br />
Mass e) 0.37 0.18 0.84 0.66 0.37 0.26 --- --- 0.70 0.37<br />
Vtan [km s -1 ] e) 96 58 130 149 99 94 250 275 116 125<br />
E(B-V) 0.01 0.01 0.04 0.05 0.02 0.02 0.09 0.09 0.02 0.02<br />
Notes:<br />
a) Determined using UCAC3 (Zacharias el at. 2010) and 2MASS (Cutri 2000) photometry<br />
b) Determined using USNO-B1.0 (Monet et al. 2003) photometry<br />
c) 2MASS catalog<br />
d) catalog PPMXL (Roeeser, Demleitner, & Schilbach 2010)<br />
e) this work<br />
f) SDSS catalog<br />
g) WDS catalog;
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Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
(Continued from page 161)<br />
5. Notes on Stellar System<br />
FMR 26<br />
This is a very faint (16.53 and 19.2 magnitudes)<br />
binary located in the constellation Cetus (Figure 1). It<br />
is composed <strong>of</strong> M2V and M4.5V stars separated by<br />
about 20.2” with a common proper motion <strong>of</strong> -31 mas<br />
yr -1 in AR and -99 mas yr -1 in DEC. The secondary<br />
has a V magnitude <strong>of</strong> 19.2, determined using the<br />
USNO-B1.0 photometry. But, if we use the GSC2.3<br />
photometry, a V magnitude <strong>of</strong> 18.2 and a M3V spectral<br />
type is obtained for the secondary component.<br />
The V magnitudes determined using a photographic<br />
catalog such as USNO-B1.0 and GSC2.3, have an uncertainty<br />
<strong>of</strong> about 0.3-0.4 magnitudes. To this value<br />
we have to add the systematic errors usually found in<br />
the photographic plates. I decided to use the V magnitude<br />
from USNO-B1.0 because the VJHK photometries<br />
are a better fit to the spectral types – photometry<br />
relations. These sources <strong>of</strong> error make our<br />
astrophysical data have larger errors than in other<br />
studies.<br />
The Monte Carlo simulation indicates a common<br />
distance probability <strong>of</strong> about 60 % (146.5 ± 18.1 pc)<br />
and a probability <strong>of</strong> binarity (stellar components<br />
gravitationally bound) <strong>of</strong> less than 1%. The significant<br />
probability <strong>of</strong> common distance and the common<br />
proper motion <strong>of</strong> about 105 mas yr -1 ( relative motion<br />
Δμ = 5.07 ± 4.89 mas yr -1 ) for the components, suggest<br />
a binary nature <strong>of</strong> common origin (no orbiting stars).<br />
FMR 27<br />
This high common proper motion pair, located in<br />
the Pisces, is composed by stars <strong>of</strong> 12.72 and 15.42<br />
magnitudes with spectral types G9V and K7V (Figure<br />
2). It is a very wide pair <strong>of</strong> stars separated by about<br />
363”. The relative astrometric measures and the high<br />
relative motion calculated (12.6 ± 8.6 mas yr -1 ) suggest<br />
that this pair <strong>of</strong> stars could be not gravitationally<br />
bound (although the level <strong>of</strong> uncertainty don’t allow<br />
us conclude this with security). If the UCAC3 proper<br />
motion is used, then the relative motion is reduced to<br />
2.8 mas yr -1 . Even using this small relative motion,<br />
the criteria used conclude that the stellar components<br />
<strong>of</strong> FMR 27 are not gravitationally bound. So this pair<br />
<strong>of</strong> stars is likely a binary <strong>of</strong> common origin.<br />
LEP 122 (WDS 18293-3100)<br />
This is a very high common proper motion binary<br />
(μ = 0.483 arcsec yr -1 ) discovered by Lepine (2008) in<br />
Figure 1: RGB image <strong>of</strong> the binary star FMR 26 where the apparent<br />
motion is clearly visible.<br />
Figure 2: RGB image <strong>of</strong> the extremely wide binary star FMR 27<br />
where the apparent motion is clearly visible
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Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
the constellation Sagittarius. WDS catalog lists spectral<br />
types K+K (Figure 3). In this work I determined<br />
that this system is located 41 - 43 pc from us and is<br />
composed <strong>of</strong> 13.87 and 14.65 magnitude stars <strong>of</strong> spectral<br />
types <strong>of</strong> M2.5V and M3V. It is a close pair (about<br />
7”) with a poorly determined relative motion <strong>of</strong> 4.7 ±<br />
6.2 mas yr -1 . The 25,000 Monte Carlo simulations that<br />
I ran showed that in 77 % <strong>of</strong> the simulations, the observed<br />
projected velocity was smaller than the maximum<br />
escape velocity. So this pair <strong>of</strong> stars is likely a<br />
binary with gravitationally bound stellar components.<br />
The projected distance calculated is 303 AU and using<br />
Kepler’s Third Law (assuming circular and face-on<br />
orbit) a period <strong>of</strong> 9,400 years is obtained. A common<br />
origin nature cannot be ruled out.<br />
Our measures, using 2MASS catalog and DENIS<br />
images, seem to be the same as those <strong>of</strong> Skiff (2011)<br />
listed in WDS catalog.<br />
LEP 121 (WDS 17084-2209)<br />
This is a very high common proper motion binary<br />
(0.488 arcsec yr -1 ) discovered by Lepine (2008) in the<br />
constellation Leo (Figure 4). The WDS catalog lists<br />
spectral types K+K. In this work, I determined that<br />
this system is located at 108 - 113 pc and is composed<br />
<strong>of</strong> two subdwarf candidate stars <strong>of</strong> M3VI and M5VI<br />
spectral types with magnitudes 16.5 and 17.5 (WDS).<br />
I determined the subdwarf nature using reduced<br />
proper motion diagrams. LEP 121 is a close pair separated<br />
by 4.1” with a poorly determined relative motion<br />
<strong>of</strong> 16 mas yr -1 . This relative motion was calculated<br />
from the proper motion <strong>of</strong> the stellar components.<br />
Astronomical literature does not list proper<br />
motion data, so the proper motions listed in this work<br />
have been calculated from two photographic plates<br />
taken on 1976.483 and 1996.545. The projected distance<br />
is 453 AU. I calculated a very similar photometric<br />
distance for the primary (108 pc) and the secondary<br />
(113 pc) components. This common distance, in<br />
addition to the common proper motion, indicates that<br />
LEP 121 is a binary star. But the large relative motion<br />
suggests that it is a common origin binary with<br />
stellar component not gravitationally bound.<br />
Our measure with epoch 1998.414 was obtained<br />
using 2MASS catalog. WDS lists a measure from<br />
Skiff (2011) that seems to be also obtained using the<br />
2MASS catalog or image.<br />
FMR 28<br />
This is a distant and faint common proper motion<br />
(0.064 arcsec yr -1 ) binary located in the constellation<br />
Leo Minor at about 384 pc (Figure 5). It is composed<br />
<strong>of</strong> two dwarf stars <strong>of</strong> K6V and M2.5V spectral types<br />
Figure 3: RGB image <strong>of</strong> the binary star LEP 122 where the<br />
apparent motion is clearly visible<br />
Figure 4: RGB image <strong>of</strong> the binary star LEP 121.
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Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
with magnitudes 15.63 and 18.93. It is separated by<br />
18.6 - 18.7” with a relative motion <strong>of</strong> 2.26 ± 3.40 mas<br />
yr -1 . The projected distance is 7,181 AU. I calculated<br />
a very similar photometric distance for the primary<br />
(385 pc) and the secondary (383 pc) component. This<br />
common distance, in addition to the common proper<br />
motion indicates that FMR 28 is surely a binary star.<br />
The 25,000 Monte Carlo simulations that I ran<br />
showed that only in the 5-6% <strong>of</strong> simulations the observed<br />
projected velocity was less than the maximum<br />
escape velocity. So FMR 28 is likely a common origin<br />
binary star.<br />
Conclusions<br />
During the course <strong>of</strong> the MIEDA project I found 5<br />
uncataloged wide common proper motion pairs. During<br />
the completion <strong>of</strong> this study two <strong>of</strong> them were recently<br />
included to WDS catalog, so in this work I present<br />
three new common proper motion binaries (FMR<br />
26, FMR 27 and FMR 28). Astrophysical characterizations<br />
and astrometric measurements were performed.<br />
In spite <strong>of</strong> the low quantity <strong>of</strong> the astrometric measures<br />
and the small time baseline (less than 50 years),<br />
I performed a dynamical study to determine the probability<br />
to be pairs with stellar components gravitationally<br />
bound. All five pairs have stellar components<br />
with a significant possibility to be the same distance<br />
from us and with common proper motion. But only<br />
one pair (LEP 122) has the likely probability to be<br />
gravitationally bound. LEP 122 is a pair <strong>of</strong> red dwarf<br />
stars (M2.5V and M3V) separated by 303 AU and located<br />
at a distance <strong>of</strong> about 42 pc. Its orbital period is<br />
estimated to be about 9,400 years. The other pairs are<br />
surely binary stars <strong>of</strong> common origin, that is, with<br />
stellar components that don’t orbit each other.<br />
Acknowledgements<br />
This project made use <strong>of</strong> data products from the<br />
Two Micron All Sky Survey, which is a joint project <strong>of</strong><br />
the University <strong>of</strong> Massachusetts and the Infrared<br />
Processing and Analysis Center/California Institute <strong>of</strong><br />
Technology, funded by the National Aeronautics and<br />
Space Administration and the National Science Foundation.<br />
DENIS is the result <strong>of</strong> a joint effort involving human<br />
and financial contributions <strong>of</strong> several Institutes<br />
mostly located in Europe. It has been supported financially<br />
mainly by the French Institut National des<br />
Sciences de l'Univers, CNRS, and French Education<br />
Ministry, the European Southern Observatory, the<br />
State <strong>of</strong> Baden-Wuerttemberg, and the European<br />
Commission under networks <strong>of</strong> the SCIENCE and<br />
Figure 5: Photographic plate where FMR 28 appears at the<br />
center <strong>of</strong> the image.<br />
Human Capital and Mobility programs, the Landessternwarte,<br />
Heidelberg and Institut d'Astrophysique<br />
de Paris.<br />
The Digitized Sky Surveys were produced at the<br />
Space Telescope Science Institute under U.S. Government<br />
grant NAG W-2166. The images <strong>of</strong> these surveys<br />
are based on photographic data obtained using<br />
the Oschin Schmidt Telescope on Palomar Mountain<br />
and the UK Schmidt Telescope. The plates were processed<br />
into the present compressed digital form with<br />
the permission <strong>of</strong> these institutions.<br />
This research made use <strong>of</strong> the Washington <strong>Double</strong><br />
<strong>Star</strong> Catalog maintained at the U.S. Naval Observatory.<br />
We kindly acknowledge Frank Smith for the English<br />
Grammar.<br />
References<br />
Adelman-McCarthy J. K. et al., 2009, ApJS, 182, 543<br />
Benavides R., Rica F., Reina E., Castellano J., Naves<br />
R., Lahuerta L., Lahuerta S., 2010, <strong>JDSO</strong>, 6, 30<br />
Bonnarel F. et al., 2000, A&AS, 143, 33<br />
CMC, 2006, Copenhagen University Obs., Institute <strong>of</strong><br />
Astronomy, Cambridge, Real Instituto y Observatorio<br />
de la Armada en San Fernando<br />
Cutri R. N. et al. Explanatory to the 2MASS Second<br />
Incremental Data Release, 2000, http://<br />
www.ipac.caltech.edu/2mass/releases/second/<br />
index.html
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Page 167<br />
Three New Common Proper Motion Binaries in Cetus, Pisces and Leo Minor Constellations<br />
Høg E. et al., 2000, A&A, 355, 27<br />
Lepine S., 2008, AJ, 135, 2177<br />
Monet D. G. et al., 2003, AJ, 125, 984<br />
Rica F. M., 2010, RMxAA, 46, 263<br />
Rica F. M., 2011a, <strong>JDSO</strong>, 7, 114<br />
Rica F. M., 2011b, <strong>JDSO</strong>, 7, 254<br />
Roeeser S., Demleitner M., Schilbach E., 2010, AJ,<br />
139, 2440<br />
Skiff B. A., 2011, private communication<br />
Zacharias N. et al., 2009, VizieR Online Data Catalog,<br />
1/315, http://vizier.ustrasbg. fr/viz-bin/VizieR-<br />
source=I/315<br />
Zacharias N. et al., 2010, AJ, 139, 2184
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Page 168<br />
Study <strong>of</strong> a New CPM Pair<br />
2Mass 01300483-2705191<br />
Israel Tejera Falcón<br />
Observatorio Vecindario<br />
Canary islands, Spain)<br />
TWILIGHTALLEHOUSE@hotmail.es<br />
Abstract: In this paper I present the results <strong>of</strong> a study <strong>of</strong> 2MASS 01300583-2705191 as<br />
components <strong>of</strong> a common proper motion pair. I used the PPMXL catalog’s proper motion<br />
data to select this system, which has a high declination proper motion but low aright ascension<br />
proper motion with large errors in this case. I also determined the proper motions independently,<br />
obtaining similar proper motions for both components, however I used the<br />
PPMXL values in this study. On the other hand, with the absolute visual magnitude <strong>of</strong><br />
both components, I obtained distance moduli 7.95 and 7.92 Which put the components <strong>of</strong><br />
the system at a distance <strong>of</strong> 389.0 and 383.7 parsecs. Taking into account errors in determining<br />
the magnitudes, this means that the probability that both components are situated at<br />
the same distance is near 100%. I suggest that this pair be included in the WDS catalog<br />
Introduction<br />
The main purpose is to determine some important<br />
astrophysical features <strong>of</strong> 2Mass J01300483-<br />
2705191 (Figure 1), such as distance, spectral type <strong>of</strong><br />
the components, etc. It was achieved by an astrophysical<br />
evaluation using kinematic, photometric<br />
spectral and astrometrical data, obtaining enough<br />
information to determine if there is a gravitational<br />
tie between both components and its nature. In this<br />
study I used Francisco Rica Romero’s spreadsheets<br />
[1] that makes many astrophysics calculation.<br />
Methodology<br />
Proper motion / kinematics<br />
I obtained the proper motions for the pair from<br />
the PPMXL catalog (a catalog that provides positions<br />
and proper motions), which are shown in Table 1. I<br />
also calculated the resulting tangential velocity<br />
(Table 2).<br />
Figure 1: Picture based on POSS plate that shows the system<br />
under study. Inset identifies the components.
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Study <strong>of</strong> a New CPM Pair 2Mass 01300483-2705191<br />
Table 1: Proper motion <strong>of</strong> the pair described in<br />
this study<br />
Component Proper Motion RA Proper Motion DEC<br />
A -2.1 ± 4.0 -31.6 ± 4.0<br />
B -0.5 ± 4.0 -28.6 ± 4.0<br />
Table 5:Theta / Rho measurements obtained with<br />
Reduc S<strong>of</strong>tware<br />
Besselian Date Theta (deg) Rho (as)<br />
1955.9391 216.51 8.65<br />
1986.5699 211.34 8.368<br />
1996.6125 212.05 8.32<br />
1997.6793 213.14 8.484<br />
Table 2: Tangential velocity calculation<br />
based on PPMXL proper motions<br />
Tangential Velocity<br />
Calculation<br />
Mu (alpha) = -0.002 -0.016<br />
Mu (delta) = -0.032 -0.029<br />
Pi (“) = 0.0026 0.0026<br />
Ta (km/s) -4 -29<br />
Td (km/s) -58 -52<br />
Vt (Km/s) 58 59<br />
I made an independent study <strong>of</strong> the proper motions<br />
<strong>of</strong> this system, where I calculated component’s<br />
positions from differently dated plates that I obtained<br />
using Aladin Sky Atlas with a timeline difference <strong>of</strong><br />
41.7402 years. I made the measurements using Astrometrica<br />
s<strong>of</strong>tware, the stars were not saturated at<br />
any plate, obtaining easy measurements. These results<br />
are shown in Tables 3 and 4. That study revealed<br />
that the proper motions are similar and suggest<br />
that this system could be a CPM pair. These<br />
results are the reason I decided to study this system.<br />
Relative Astrometry<br />
Relative astrometry measurements were based on<br />
A<br />
B<br />
Table 6: Photometric magnitudes pulled from 2MASS<br />
(infrared) and USNO B1.0 catalogs<br />
J H K B2 R2<br />
A 13.55 12.933<br />
12.69<br />
2<br />
18.53 15.56<br />
B 14.838 14.275<br />
13.91<br />
9<br />
20.11 17.07<br />
plates with different dates obtained from Aladin s<strong>of</strong>tware<br />
and with resolution 1.1”. I used Astrometrica<br />
s<strong>of</strong>tware to obtain angle deviation and applied that<br />
value on Reduc s<strong>of</strong>tware calibration parameters for<br />
each plate. I also obtained position angle (theta) and<br />
separation (rho) values for each plate using Reduc<br />
(see Table 5) .<br />
Photometry / Spectral Type <strong>of</strong> the Components<br />
I retrieved all plates with plate resolution around<br />
1 arcsecond/pixel and catalog data <strong>of</strong> the image field<br />
from USNO B1.0 and 2MASS (Table 6).<br />
Using Francisco Rica Romero’s astrophysics<br />
spreadsheet “SDSS-2MASS-Johnson conversions” [1],<br />
I obtained the results shown in Table 7.<br />
With this set <strong>of</strong> photometry in bands J,H,K, the<br />
deduced B,V,I and using the Rica Romero’s<br />
“Astrophysics” spreadsheet, I determined the spectral<br />
Table 4: Proper motions deduced using coordinates from Besselian date plates (Besselian date vs<br />
coordinates) not used in this study.<br />
Besselian Date Primary RA(º) Primary DEC(º) Secondary RA(º) Secondary DEC(º)<br />
1955.9391 22.515500 -27.087861 22.514000 -27.089889<br />
1986.5699 22.515458 -27.088167 22.514000 -27.090083<br />
1996.6125 22.515375 -27.088306 22.513917 -27.090256<br />
1997.6793 22.515292 -27.088194 22.513708 -27.090139
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Study <strong>of</strong> a New CPM Pair 2Mass 01300483-2705191<br />
Table 7: Based at JHK (2MASS) and B2, R2 (USNO B.1)<br />
photometric magnitudes and using Francisco Rica Romero’s<br />
“SDSS-2MASS-Johnson conversions” I obtained<br />
color index (B-V), (V-I), Magnitude V and later with<br />
“Astrophysics” spreadsheet, Bolometric correction.<br />
Color B-V<br />
Color V-I Magnitude V Bolometric<br />
correction<br />
A 1.30 1.38 15.93 -0.752<br />
B 1.35 1.48 17.39 -0.865<br />
Table 8: Reduced Proper Motion<br />
BAND Mag (A) H(A) Mag (B) H(B)<br />
V 15.93 13.4 17.39 15.0<br />
K 10.2 10.5 13.919 11.5<br />
Figure 2: Reduced-Proper diagrams after Luyten’s White<br />
Dwarf Catalog [4]. This diagram shows that both components<br />
are situated in the swarf/subdwarf region.<br />
Table 9: Distance moduli and distances in parsecs,<br />
values obtained using Francisco Rica Romero’s<br />
spreadsheet “Astrophysics”<br />
Component<br />
Distance<br />
modulus<br />
Distance<br />
parsec<br />
A 7.95 389.0<br />
B 7.92 383.7<br />
type <strong>of</strong> each component from photometric data and<br />
obtained K7V and K9V for the primary and secondary,<br />
respectively.<br />
Using the same spreadsheet, I obtained the reduced<br />
proper motions for the companions presented in<br />
Table 8. The Reduced Proper Motion Diagram (Figure<br />
2) shows that both components are situated in the<br />
dwarf/subdwarf region. This suggests that the primary<br />
component and its companion are main sequence<br />
stars.<br />
The absolute visual magnitude <strong>of</strong> both components<br />
enabled the calculation the distance moduli.<br />
Again, I used Rica Romero’s spreadsheet<br />
“Astrophysics”, the results are shown in Table 9.<br />
The distance moduli obtained for each component<br />
were similar. Taking into account the errors in determining<br />
the magnitudes, I conclude that the probability<br />
that components are at the same distance is almost<br />
100%<br />
Conclusions<br />
Using the spectroscopy obtained above, I estimate<br />
the sum <strong>of</strong> the masses to be 1.15 solar masses. Using<br />
the above calculated distances, the Wilson and Close<br />
criteria [2,3] indicate a physical system.<br />
The distance moduli calculated above, put both<br />
components at the same distance 389.0 (primary) and<br />
383.7 (secondary) parsecs Which means that the<br />
probability that both components are at the same distance<br />
is almost 100%, which is a good indicator about<br />
the possible physical relation between the stars.<br />
With respect to kinematics, the RA proper motion<br />
<strong>of</strong> this system is low (as indicated by PPMXL), for this<br />
reason, I verified the kinematics through digitized<br />
plates from different dates, the difference being<br />
41.7402 years, and obtained similar results on RA<br />
proper motions and nearly the same values for DEC.<br />
The latest image available from Aladin s<strong>of</strong>tware<br />
(1997.6793) gives astrometry values: θ = 213.14º and<br />
ρ = 8.484”. According to these data and using Rica<br />
Romero’s spreadsheet, I estimate the parameter (p/µ)<br />
representing the time it takes the star to travel a distance<br />
equal to their angular separation with its motion<br />
µ at T = 266 years. This also indicates that the<br />
stars are likely to be physically associated.<br />
In summary, with the present information I think<br />
that this pair should be considered a binary and I<br />
suggest that this pair be included in the WDS catalog.
Vol. 8 No. 2 April 1, 2012<br />
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Acknowledgements<br />
I used Florent Losse’s “Reduc” s<strong>of</strong>tware for relative<br />
astrometry and Herbert Raab’s “Astrometrica”<br />
s<strong>of</strong>tware to calculate plate’s angle deviation.<br />
I used Francisco Rica Romero’s “Astrophysics”<br />
and “SDSS-2MASS-Johnson conversions” with many<br />
useful formulas and astrophysical concepts.<br />
The data analysis for this paper made use <strong>of</strong> the<br />
Vizier astronomical catalogs service maintained and<br />
operated by the Center de Donnès Astronomiques de<br />
Strasbourg (http://cdsweb.ustrasbg.fr)<br />
References<br />
1. Francisco Rica Romero, private communication,<br />
2011.<br />
2. Reid, Neid, et al., AJ, 121, 489, 2001.<br />
3. Close, S.M., et al., ApJ, 587, 407-422, 2003.<br />
4. Jones, E. M., AJ, 177, 245, 1972.
Vol. 8 No. 2 April 1, 2012<br />
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<strong>Journal</strong> <strong>of</strong> <strong>Double</strong> <strong>Star</strong> <strong>Observations</strong><br />
April 1, 2012<br />
Volume 8, Number 2<br />
Editors<br />
R. Kent Clark<br />
Rod Mollise<br />
Editorial Board<br />
Justin Sanders<br />
Michael Boleman<br />
Advisory Editor<br />
Brian D. Mason<br />
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