To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle, which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. As the satellite passes through A, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. The booster is again fired at B to insert the satellite into a geosynchronous orbit. Knowing that the second firing increases the speed of the satellite by 4810 ft/s, determine (a) the speed of the satellite as it approaches B on the elliptic transfer orbit, (b) the increase in speed resulting from the first firing at A. 22,240 mi 185 mi A В R = 3960 mi

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Dynamics of Rigid Bodies
To place a communications satellite into a
geosynchronous orbit at an altitude of
22,240 mi above the surface of the earth,
the satellite first is released from a space
shuttle, which is in a circular orbit at an
altitude of 185 mi, and then is propelled by
an upper-stage booster to its final
altitude. As the satellite passes through
A, the booster's motor is fired to insert the
satellite into an elliptic transfer orbit. The
booster is again fired at B to insert the
satellite into a geosynchronous orbit.
Knowing that the second firing increases
the speed of the satellite by 4810 ft/s,
determine
(a) the speed of the satellite as it
approaches B on the elliptic transfer orbit,
(b) the increase in speed resulting from
the first firing at A.
22,240 mi
185 mi
A
В
R 3960 mi
Transcribed Image Text:Dynamics of Rigid Bodies To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle, which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. As the satellite passes through A, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. The booster is again fired at B to insert the satellite into a geosynchronous orbit. Knowing that the second firing increases the speed of the satellite by 4810 ft/s, determine (a) the speed of the satellite as it approaches B on the elliptic transfer orbit, (b) the increase in speed resulting from the first firing at A. 22,240 mi 185 mi A В R 3960 mi
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