Free Version
Difficult

Period of a Circular Orbit with Radius $4R$

APPH12-KAH@SM

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

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

C

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

D

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