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Homework Statement
Two remote planets consist of identical material, but one has a radius twice as large as the other. IF the shortest possible period for a low altitude satellite orbiting the smaller planet is 40 minutes, what is the shortest possible period for a similar low altitude satellite orbiting the larger one? Answer in minutes.
Homework Equations
volume of sphere=4/3 ∏r^{3}
speed=distance/time
E_{k}=1/2 E_{g}
The Attempt at a Solution
r_{B}=2r_{A}
time_{A}=2∏r/V_{A}
40=2∏r/V_{A}
Don't really know how to move on from here? I know I have to find the time taken for the satellite to orbit planet B.
T_{B}=2∏(2r_{A})/V_{B}
I don't know V_{B}, how would I find that?
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