The time period of a satellite moving in a circular orbit around a pl…

Time period in terms of orbital speed is given by : 

$T=\frac{2\pi \mathrm{r/}}{v_o}=\frac{2\pi \mathrm{r/}}{\sqrt{\frac{G\mathrm{M/}}{\mathrm{r)}}}}=2\pi \sqrt{\frac{r^3}{\mathrm{/G}\mathrm{M)}}}$

where, T = time period of satellite

M = mass of the planet

r = radius of the orbit of the satellite

From the above equation, we can see that T depends on radius of the orbit and the mass (density) of the planet but not the mass of the satellite.