Practice question
Question
What happens to the time period of a satellite if its orbital radius is doubled?
Explanation
T2∝r3 (Kepler’s third law for satellites). If r is doubled (r′ = 2r), then T′2 = (2r)3 = 8r3, so T′ = T8 = T×22, meaning the period increases by a factor of 22.
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