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If Kepler's third law (in the case of a satellite in uniform circular motion) were to show the proportionality between speed $v$ of the satellite and the period of motion $\tau$, which power of $v$ would be proportional to which power of $\tau$, regardless of the radius $r$ of the orbit?

A

$v \propto \cfrac {1} {\tau}$

B

$v^{2} \propto \tau^{3}$

C

$v \propto \tau^{2}$

D

$v^{3} \propto \cfrac {1} {\tau}$

E

$v^{3} \propto \tau$

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