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A satellite is launched into a circular orbit of radius R while a second satellite is launched into an orbit of radius 1.02R. What is the percentage change in the time periods of the two satellites?

A satellite is launched into a circular orbit of radius R while a second satellite is launched into an orbit of radius 1.02R. What is the percentage change in the time periods of the two satellites? Correct Answer 3

The time periods (T) of a satellite revolving around the earth of radius R and at height h is: T = 2 x pi x 1/2 Hence, the time period is directly proportional to (R + h)3/2 From this, we have the ratio of the time periods as 1.03. 1.03 x 100 = 103. Hence, there is a 3% change in the time period.

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