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Q. Two satellites are orbiting around the Earth in circular orbits of the same radius. The mass of satellite $A$ is five times greater than the mass of satellite $B$. Their periods of revolution are in the ratio

Gravitation

Solution:

$ T^{2}=\left(\frac{4 \pi^{2}}{G M}\right) R^{3}$
$T$ is independent of the satellite's mass $m$
$\Rightarrow T_{A}: T_{B}=1: 1$