A satellite is in a stable circular orbit at an altitude equal to the radius of a spherical planet of uniform density ρ\rhoρ.
Which expression gives the orbital period T T\,T of the satellite?
3πGρ\sqrt{\frac{3\pi}{G\rho}}Gρ3π
6πGρ\sqrt{\frac{6\pi}{G\rho}}Gρ6π
12πGρ\sqrt{\frac{12\pi}{G\rho}}Gρ12π
24πGρ\sqrt{\frac{24\pi}{G\rho}}Gρ24π
