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crosbykins
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Homework Statement
What is the height of a geostationary satellite measured from the Earth's centre?
Homework Equations
r^3/T^2 = GM/4pi^2
T of Earth = 3.16 * 10^7 s
The Attempt at a Solution
GM/4p2 = r3/T2
3root[T2 * GM/4p2 ] = r
3root[(3.16*107 s)2 * ((6.67*10^ -11N * m2 /kg2 )(5.98*1024 kg)/4p2 )] = r
2.16*109m = r
Therefore the height of the satellite from the Earth’s center is 2.16*109m.