Question

Two very small planets are orbiting a much larger star. Planet A orbits the star with...

Two very small planets are orbiting a much larger star. Planet A orbits the star with a period T. Planet B circles the star at four times the distance of Planet A, but Planet B is four times as massive as Planet A. Planet B orbits the star with a period of

A) T/4

B) 8T

C) 4T

D) T

E) 16T

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Answer #1

By Keplers third law, the relation between time period and the radius of the orbit is, So, substitute T for T and 4R, for R,

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Answer #2

By Keplers third law, the relation between time period and the radius of the orbit is, The time period of the planet B is ST

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