UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
11th Edition
ISBN: 9781319278670
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 4, Problem 52Q
(a)
To determine
The orbital period of a satellite in a geosynchronous orbit. Given that, if a satellite appears at the exact spot upon orbiting Earth once, it is said to be in a geosynchronous orbit.
(b)
To determine
The distance from the center of Earth to place a satellite into a geosynchronous orbit.
(c)
To determine
The reason behind geosynchronous orbit being in the plane of Earth’s equator.
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A satellite orbiting above the equator of the earth is geosynchronous if the period is T = 24 hours (in this case, the satellite stays over a fixed point on the equator). Use Kepler’s Third Law to show that in a circular geosynchronous orbit, the distance from the center ofthe earth is R ≈ 42,246 km. Then compute the altitude h of the orbit above the earth’s surface. The earth has mass M ≈ 5.974 × 10^(24) kg and radius R ≈ 6371 km.
A satellite orbiting above the equator of the earth is geosynchronous if the period is T = 24 hours (in this case, the satellite staysover a fixed point on the equator). Use Kepler’s Third Law to showthat in a circular geosynchronous orbit, the distance from the center ofthe earth is R ≈ 42,246 km. Then compute the altitude h of the orbitabove the earth’s surface. The earth has mass M ≈ 5.974 × 1024 kgand radius R ≈ 6371 km.
Chapter 4 Solutions
UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
Ch. 4 - Prob. 1CCCh. 4 - Prob. 2CCCh. 4 - Prob. 3CCCh. 4 - Prob. 4CCCh. 4 - Prob. 5CCCh. 4 - Prob. 6CCCh. 4 - Prob. 7CCCh. 4 - Prob. 8CCCh. 4 - Prob. 9CCCh. 4 - Prob. 10CC
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