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Antenna azimuth for ATS·3 from Washing<strong>to</strong>n DC:<br />

X = 27.8 degrees<br />

Y = 38.5 degrees<br />

Azimuth = tan - 1 tan X<br />

sin Y<br />

SUbstituting :<br />

Azimuth = tan - 1 tan 27.8<br />

= tan - 1<br />

Elevation ;;: tan - 1<br />

cos X cos Y - .151<br />

V 1 _ (c os X cos y) 2<br />

Substituting:<br />

Elevation = ta n - 1<br />

= tan - 1<br />

= tan - 1<br />

sin 38.5<br />

.527<br />

.623<br />

= tan -r t .846<br />

= 40.23 degrees<br />

Since Washing<strong>to</strong>n is east of the spacecraft, we add the<br />

result <strong>to</strong> 180 0 • Therefore, the azimuth is 220.23 degrees.<br />

Antenn a elevation for ATS·3 from Washing<strong>to</strong>n DC:<br />

cos 27.8 co s 38.5 - .151<br />

V 1 _ (cos 27.8 cos 38.5)2<br />

.692 - .151<br />

V 1 - .479<br />

.541<br />

.72 2<br />

= tan - 1 .749<br />

= 36.8 degrees<br />

Geosynchronous satellite range in miles may be found by<br />

the formula:<br />

Range = 262 10 V 1.023 - .3 02 (c os X cos Y)<br />

Once more, from Washing<strong>to</strong>n, the range in miles <strong>to</strong> ATS·3<br />

can be comput ed as follows:<br />

Range = 2621 0 ,,;'7 1 .""' 0"" 2"" 3 ----c. 3"0"2"(-c o-s--=c 2 7=-.""8 -c-o-s ""'3""8~. 5 )<br />

= 2621 0 V 1.023 - .302 (.692)<br />

= 26210 (.902)<br />

= 23641 miles<br />

In order for their axis synchronizations<br />

<strong>to</strong> be maintai<br />

ned-that is, the spacecraft's<br />

angle in relati on <strong>to</strong><br />

Earth - t he satell ites are<br />

sp in-stab il iz ed . The sp in<br />

rate is about 96 rpm and<br />

provides a noti ceab le amp<br />

lit ud e-modu lated pul sation,<br />

p arti c ul arl y fro m<br />

weak signals.<br />

As I mentioned ea rlier,<br />

there are anoma lies in both<br />

A TSor bits. ATS-1 is pre sently<br />

expe rie ncing a nor thsouth<br />

incl ination of about<br />

10 degrees, w hil e ATS-3 suffers<br />

from a similar incl inati<br />

on of 8.5 degrees. These<br />

disorders ar e uncontrol ­<br />

labl e from Earth and w ill<br />

52 73 Magazine· Oc<strong>to</strong>ber, 1980<br />

My ante nna, whi ch is<br />

best descr ib ed as a foureleme<br />

nt quagi, cost $4.80<br />

and consists of three pieces<br />

of wood and some alurninum<br />

c l o t h e sl i n e . Thi s<br />

antenna is linearly polarcontinue<br />

<strong>to</strong> increase at a<br />

rate of .86 degrees per year.<br />

Be amwidth s of m o st<br />

ground stat ion antennas are<br />

in t he rang e o f 30 -40<br />

degrees, so the necessity for<br />

tracki ng does not yet exist.<br />

Sip le stat io n (64° sout h<br />

lati tude) now must meet<br />

ATS -3 orbital sc hed u le s<br />

since the spacecraft is over<br />

the horizon dur ing its north<br />

inclination.<br />

Let's now address ourselv<br />

es <strong>to</strong> an ATS receivin g<br />

system. For one reason or<br />

another, NASA has excluded<br />

channels one and five<br />

from ope rat ion, so we are<br />

concerned only with three<br />

re c ei vin g fr e q u en c ie s:<br />

135.575 MHz, 135.600 MHz,<br />

and 135.625 M Hz . Some<br />

ground stations own mammot<br />

h General Dyn am ics diversity-telemetry<br />

receivers,<br />

but for most o f us thi s kind<br />

of equ ip me nt com e s<br />

straight f rom fantasyl and<br />

a nd is c e r t a i n ly n ot<br />

necessary. The University<br />

of Miami purchased some<br />

in exp ensive crysta l-con ­<br />

tro lled VH F sc anner s a<br />

wh ile bac k, and the y co n­<br />

ti nue <strong>to</strong> perfo rm satisfac<strong>to</strong>ril<br />

y .<br />

AM aircraft receivers wi ll<br />

not work. (The spin-stabili<br />

zed ca rriers are somet<br />

im es rec o gnizabl e o n<br />

t hese re c eiv e rs .) O ld<br />

tu nab le VHF moni<strong>to</strong>r receivers<br />

will not work very<br />

well du e in part <strong>to</strong> th eir<br />

poor sensitiv ity and unnecessarily<br />

w ide i-f bandw<br />

id t h. Su rp l us Gen er al<br />

Electric and Mo<strong>to</strong>rola receiver<br />

strips are great and<br />

fi ll t he bill per fectly. Since I<br />

already ow ned a Bearcat<br />

210 sy nt hes ized scann er<br />

(which does not tune <strong>to</strong> 135<br />

M Hz), I dec ided <strong>to</strong> go the<br />

converter route. M y converter<br />

is designed so that its<br />

i-f is exactly 100 MHz below<br />

the input fr equency, all owing<br />

me, fo r examp le. <strong>to</strong><br />

pu nch up 35.6 M Hz <strong>to</strong> receive<br />

channel three.<br />

W ith regard <strong>to</strong> ante nnas,<br />

a simp le 88-inc h loop fed<br />

with 75-0hm coax wi ll work<br />

adequately. But remem ber,<br />

there's a 168-dB path loss<br />

betwe en th e satell ite and<br />

your statio n, so you should<br />

give you r rece iver all the<br />

help it can get. If your co ax<br />

run is long, an inexpensive<br />

rf preampl if ier w il l help<br />

tremendously. (The serious<br />

listen er should pu rchase a<br />

preamp anyway. Janel Labs<br />

ha s t hem in st o ck for<br />

$21 .9 5. A sk for M odel<br />

137PB.)<br />

ized and is mounted at my<br />

QTH i n the ho r izont al<br />

plane. The antennas on the<br />

ATS satellites li kew ise are<br />

linearly pola rize d, but th is<br />

arrangement is of little consequence.<br />

Radio signals in<br />

t he V HF range are seve rely<br />

affected by a phen om enon<br />

known as Faraday Rotation,<br />

ca using ultim ate recei ve<br />

po la riz at ion s <strong>to</strong> be unpredict<br />

ab le. It is rare that I<br />

encou nter no signal at all ,<br />

and then this situation lasts<br />

only a minute or so. Most<br />

ATS ground stat ions transmi<br />

t and rece ive on circularl<br />

y-pol arized antennas, of<br />

both the hel ix- and cr ossyagi<br />

variety. Althou gh this<br />

solve s th e Faraday Rotati on<br />

prob lem, an immed iate loss<br />

of 3 dB is reali zed over an<br />

antenna in the same plane .<br />

You r next ob jective is <strong>to</strong><br />

point the antenn a in the<br />

ri ght direction. You shou ld<br />

be ' able <strong>to</strong> use the guess<br />

method if your ante nna is a<br />

loop or sm all yagi. However,<br />

here are the geosynchronous<br />

aim ing fo rmulas<br />

for th o se of you with super<br />

arra ys- as we ll as for the<br />

mildly cu rious<br />

Where X = th e difference<br />

betw ee n sate llit e longitude<br />

and site lon gitude in<br />

degrees, and Y = the site<br />

lati tude in deg rees:<br />

Az im uth = ta n - 1 (tan XI<br />

sin Y), and -<br />

Elevation = ta n - 1 cos X<br />

co s Y - .151 divided by<br />

V1 - (cos X cos y )2.<br />

Note: If yo u are in the<br />

No rt hern Hemi sphere and<br />

west of the spacecraft, subtrac<br />

t your answe r fr om<br />

180° . If yo u are east of the<br />

space craft, add your answer<br />

<strong>to</strong> 180 0<br />

For examples, see the<br />

box.<br />

If you are in Washing<strong>to</strong> n,<br />

or about 23,641 m iles from<br />

ATS-3, and are co m municati<br />

ng with a friend who se<br />

statio n is likewise t hat<br />

distance from the spacecraft,<br />

you can expect a<br />

sig na l de lay of ap p roxima<br />

tely one fourth of a second<br />

: 2 X 23,641 = 47,282

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