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A satellite in circular orbit has an orbital radius of $r$ and an orbital period of $T_r$.

If the satellite is moved to a new circular orbit with a radius of $4r$, what is the ratio of the new period, $T_{4r}$, to the original period?

A

$\cfrac {T_{4r}}{T_r}=2$

B

$\cfrac {T_{4r}}{T_r}=2\sqrt{2}$

C

$\cfrac {T_{4r}}{T_r}=4$

D

$\cfrac {T_{4r}}{T_r}=8$

E

$\cfrac {T_{4r}}{T_r}=16$

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