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A satellite of mass $m$ is in orbit around a planet of mass $M$ and radius $R$. Assume the satellite orbits at a distance of $4R$ from the center of the planet.

What is the orbital period of the satellite?

A

$-2\pi R\sqrt {\cfrac {R}{GM}}$

B

$2\pi R\sqrt {\cfrac {R}{GM}}$

C

$2\pi \sqrt {\cfrac {GM}{R}}$

D

$4\pi R\sqrt {\cfrac {R}{GM}}$

E

$16\pi R\sqrt {\cfrac {R}{GM}}$

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