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A satellite with mass $m$ is in a circular orbit at a distance $r$ from the center of a planet of mass $M$.

What is the minimum amount of energy required to boost the satellite to a circular orbit at $3r$ from the center of the planet?

A

$\cfrac {GMm}{4r}$

B

$\cfrac {GMm}{3r}$

C

$\cfrac {GMm}{2r}$

D

$\cfrac {GMm}{r}$

E

$-\cfrac {GMm}{r}$

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