Even gravity wants me

Classical Mechanics Level 2

A satellite is in a circular orbit very close to the surface of a planet of uniform density $\rho$ . What is the period (in hours) of the satellite's orbit around the planet?

Details and Assumptions

$G = 6.67 \times {10}^{-11} N\cdot{m}^{2}/{kg}^{2}$
$\rho = 4.5 \frac{g}{{cm}^{3}}$