Two satellites are in circular equatorial orbits of different altitudes. Satellite A is in a geosynchro- nous orbit (one with the same period as the earth's rotation so that it "hovers" over the same spot on the equator). Satellite B has an orbit of radius 30 000 km. Calculate the velocity which A ap- pears to have to an observer fixed in B when the elevation angle 0 is (a) 0 and (b) 90°. The x-y axes are attached to B, whose antenna always points toward the center of the earth (-y-direction). %3D

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.12P
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Two satellites are in circular equatorial orbits of
different altitudes. Satellite A is in a geosynchro-
nous orbit (one with the same period as the earth's
rotation so that it "hovers" over the same spot on
the equator). Satellite B has an orbit of radius
= 30 000 km. Calculate the velocity which A ap-
rB
pears to have to an observer fixed in B when the
elevation angle 0 is (a) 0 and (b) 90°. The x-y axes
are attached to B, whose antenna always points
toward the center of the earth (-y-direction).
Consult Art. 3/13 and Appendix D for the neces-
sary orbital information.
A
y
TA
-rB
Transcribed Image Text:Two satellites are in circular equatorial orbits of different altitudes. Satellite A is in a geosynchro- nous orbit (one with the same period as the earth's rotation so that it "hovers" over the same spot on the equator). Satellite B has an orbit of radius = 30 000 km. Calculate the velocity which A ap- rB pears to have to an observer fixed in B when the elevation angle 0 is (a) 0 and (b) 90°. The x-y axes are attached to B, whose antenna always points toward the center of the earth (-y-direction). Consult Art. 3/13 and Appendix D for the neces- sary orbital information. A y TA -rB
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