Time Period of Satellite in Larger Orbit – Rankers Physics
Topic: Gravitation
Subtopic: Planet and Satellite

Time Period of Satellite in Larger Orbit

The period of a satellite in a circular orbit of radius \(R\) is \(T\). What is the period of another satellite in a circular orbit of radius \(4R\) ?
4T
T/8
T/4
8 T

Solution:

By Kepler's Third Law, \(T^2 \propto R^3\). Therefore, \(\frac{T'}{T} = \left(\frac{4R}{R}\right)^{3/2} = 8\), which gives \(T' = 8T\).

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