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Astrophysics

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Question 1

An exoplanet $X\,$ orbits a distant star $S\,$ of mass $M_S\,$ in a stable circular orbit of radius $R\,$ with orbital period $T$ .

A moon $Y\,$ orbits the exoplanet $X\,$ in a stable circular orbit of radius $r = 0.010 R$ .

The mass of the exoplanet is $MX=4.0×10−4MSM_X = 4.0 \times 10^{-4} M_S$ .

What is the orbital period of moon $Y\,$ around exoplanet $X\,$ in terms of $T$ ?

A

$0.0025 T$

B

$X\,$

C

$0.50 T$

D

$5.0 T$

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