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Satellite Motion: Speed & Period

Satellite Motion: Speed & Period

8. Centripetal Forces & Gravitation / Satellite Motion: Speed & Period / Problem 8

Two satellites with an identical mass of "m" are revolving around Earth that has a mass of "M" in the same circular path with radius of "r" but is always positioned at opposite ends of a diameter line as shown in the figure below. What would be their orbital period "T" value?

ANSWERS OPTIONS

A

$T=16\pi\sqrt{\frac{2r^3}{G\left(M+\frac{m}{4}\right)}}$

B

$T=4\pi\sqrt{\frac{r^3}{G\left(M+\frac{m}{4}\right)}}$

C

$T=16\pi\sqrt{\frac{r^3}{G\left(4M+m\right)}}$

D

$T=4\pi\sqrt{\frac{r^3}{G\left(4M+m\right)}}$

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