OF THE ROGER N. CLARK
OF THE ROGER N. CLARK
OF THE ROGER N. CLARK
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VISUAL ASTRONOMY <strong>OF</strong> <strong>THE</strong> DEEP SKY<br />
Table C.2 (cont. )<br />
2300 REM ** ******** cosineHA<br />
2301 REM subroutine to compute the cosine of the zenith angle when the<br />
2302 REM object is at the ho rizon = COSHA<br />
2305<br />
2307 X#= SQR(l#-COSHA# *COSHA# )<br />
2308 IF X#=O ! <strong>THE</strong>N X#=lE+37<br />
2310 HAHORZ# = PIHALF# - ATN (COSHA# /X#)<br />
2315 RETURN<br />
2400 REM ** ******** set time<br />
2401 REM subroutine to compute the set time of an object<br />
2402 REM<br />
2405 REM<br />
2410 TSET# (RA# + HAHORZ# + LONGR# )/(2#*PI#) - SOU<br />
2415 RETURN<br />
2450 REM ********** risetime<br />
2451 REM subroutine to compute rise time of an object<br />
2455 TRISE# = (RA# - HAHORZ# + LONGR# )/(2#*PI# ) - SOU<br />
2460 RETURN<br />
2500 REM ** ******** refcorr<br />
2501 REM subroutine to compute refraction corre ction to zenith angle .<br />
2502 REM<br />
2503<br />
2505<br />
25 10<br />
25 12<br />
25 15<br />
2517<br />
2520<br />
2550<br />
2551<br />
2552<br />
2555<br />
2560<br />
COSHA# =(COS (ZH#) - SIN( LATR# )*SIN( DEC# » /(COS (LATR#l*COS ( DEC# »<br />
note ra , hahoriz, longr are in radians , sO in decimal days<br />
REM the following computes the arcsin of (0.9986sin(0.9967za»<br />
X# = .9986047 * SIN( .9967614 * ZA# )<br />
X# = ATN( X# /SQR(l #-X#*X# »<br />
XTMP# = -1 !* PRESSURE * .0571716 /(273! * TEMPC )<br />
XCORR# = XTMP#*(ZA#- X# )*ONERAD#- .000579084#*ZA#*ONERAD#<br />
ZCORR# = ZAP + XCORR#/ ONERAD#<br />
RETURN<br />
REM ** ******** Altitude<br />
REM su brou tine to compute altitude in decimal degrees<br />
REM<br />
ALT# = (ZH# - ZCORR# )*ONERAD#<br />
RETURN<br />
2600 REM ** ******** Az imuth<br />
2601 REM su broutine to compute azimuth in decimal degrees<br />
2602 REM<br />
2603 Xl# = -l#*COS( DEC# )*SIN(HA# )<br />
2605 X2# = COS ( LATR# )*SIN(DEC# ) - SIN(LATR# )*COS (DEC#)*COS(HA# )<br />
2606 IF X2# = O! <strong>THE</strong>N AZIM# = 0# : RETURN<br />
2607 X# = ATN( Xl#/X2#)*ONERAD#<br />
2608 IF X2# > 0# AND Xl# < 0# <strong>THE</strong>N AZIM#<br />
2609 IF X2# > 0# AND Xl# > 0# <strong>THE</strong>N AZIM#<br />
26 10 IF X2# < 0# <strong>THE</strong>N AZIM# 180# + X#<br />
2620 RETURN<br />
2650 REM ********** Airmass<br />
26 51 REM subroutine to compute air mass of an object<br />
26 52 REM<br />
2655<br />
2660<br />
2661<br />
36011 + X#<br />
X = I! / COS(ZCORR# )<br />
IF ZCORR#= 1.3089 <strong>THE</strong>N AIRMAS = 3. 7978 + XTMP * 120<br />
2667 IF ZCORR# > ZH# <strong>THE</strong>N AIRMAS=999 !<br />
2670 RETURN<br />
X#<br />
a<br />
altitude<br />
azimuth<br />
B<br />
C<br />
Cl<br />
D<br />
Appendix D<br />
Symbols and their definitions<br />
The angular size of the telescope's<br />
diffraction pattern in arc-seconds.<br />
(Chapter 3)<br />
The maximum apparent field of<br />
view seen in an eyepiece. (Chapter<br />
3)<br />
The apparent diameter of an object<br />
as viewed by the human eye.<br />
(Chapter 3)<br />
The angular diameter of the diffraction<br />
disk in the telescope, defined<br />
as the diameter where the<br />
light falls to zero in the first dark<br />
ring of the diffraction pattern.<br />
(Chapter 3)<br />
The true angular diameter of an<br />
object in the sky. (Chapters 3, 5)<br />
The angular height of an object<br />
above the local true horizon.<br />
(Appendix C)<br />
The position angle of an object<br />
counting around the horizon; 0°<br />
when due north, 90° when due east,<br />
180° when due south, and 270°<br />
when due west. (Appendix C)<br />
The amount of light absorbed by<br />
the atmosphere, in stellar magnitudes.<br />
(Appendix C)<br />
The surface brightness of an object.<br />
(Chapters 2, 6; Appendices E, F)<br />
The surface brightness of the background<br />
around an object. (Chapters<br />
2, 6; Appendices E, F)<br />
The contrast between an object and<br />
its background. (Chapters 2, 6;<br />
Appendices E, F)<br />
Logarithm of the contrast between<br />
the main surface brightness of an<br />
object and sky background of 24.25<br />
magnitudes per square arc-second.<br />
(Appendices E, F)<br />
The diameter of a telescope objec-<br />
tive or primary mirror. (Chapters<br />
3, 4; Appendix F)<br />
De The diameter of the fully dilated<br />
human eye, usually taken to be ab<br />
out 7.5 millimeters. (Chapter 4)<br />
Dec The declination of an object.<br />
(Chapter 3; Appendix C)<br />
Dec The difference between two declinations.<br />
(Chapter 3)<br />
ep The diameter of a telescope's exit<br />
pupil. (Chapter 3)<br />
j The focal length of an eyepiece.<br />
(Chapter 3)<br />
jm The maximum usable focal length<br />
of an eyepiece. Larger than this, the<br />
apparent field would be restricted<br />
by the eyepiece tube assembly.<br />
(Chapter 3)<br />
F The effective focal length of a telescope.<br />
In simple reflectors or refractors,<br />
this is the focal length of<br />
the lens or primary mirror. In compound<br />
systems, it is the focal length<br />
of the primary times the magnification<br />
of one or more secondaries.<br />
(Chapter 3)<br />
GMSTO the mean sidereal time at Greenwich,<br />
England, calculated for 0<br />
hours UT on a given date. (Appendix<br />
C)<br />
h The observer's elevation above sea<br />
level in feet. (Appendix C)<br />
HA The hour angle of an object from<br />
the local meridian. (Appendix C)<br />
HA' The hour angle of an object on the<br />
horizon. (Appendix C)<br />
JD Julian Day. (Appendix C)<br />
k The atmospheric absorption per air<br />
mass in stellar magnitudes.<br />
(Appendix C)<br />
K The number of J ulian centuries<br />
from 12:00 UT January 1, 2000. A<br />
278<br />
279