Question EXE.1A.SL.TZ0.14

Kepler’s Third law relates the orbital period $T$ of a planet about its sun to its orbital radius $r$. The mass of the Sun is $M$.

What is a correct algebraic form of the law?

A.  $T=\frac{2\mathrm{\pi }{r}^{1.5}}{{\left(GM\right)}^{0.5}}$

B.  $T=\frac{2\mathrm{\pi }{r}^{1.5}}{GM}$

C.  $T=\frac{4\mathrm{\pi }{r}^{0.67}}{{\left(GM\right)}^2}$

D.  $T=\frac{4\mathrm{\pi }{r}^{0.67}}{GM}$