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A geostationary satellite is orbiting the earth at a height of 4R above the earth’s surface. The time period of another satellite at a height of 2R is _____

A geostationary satellite is orbiting the earth at a height of 4R above the earth’s surface. The time period of another satellite at a height of 2R is _____ Correct Answer 24 x (3/5)1/2 hr

The time period of a satellite is given by; T = 2 x pi x (R+h)3/2 / (G x M)1/2 For a geostationary satellite; 24 = (5R)3/2 x (constant); Required; t = (3R)2/2 x (constant) t = Time period of the satellite at a height of 2.5R t/24 = (3R/5R)3/2 = (3/5)3/2 t = 24 x (3/5)1/2 hr.

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