The time period of a satellite in a circular orbit of radius r is t
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By keeper’s law,
T2 ∝ R3
(T1 / T2) = (R1 / R2)3/2
Given,
R1 = R.
and
R2 = 4R (T1 / T2) = (R / 4R)3/2 = (1/8) (T1 / T2) = (1 / 8)
i.e. T2 = 8T1
given T1 = T
T1 = T hence T2 = 8T
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