The time period of an earth satellite in circular orbit is independent of:

The time period $T$ of a satellite is given by:
$$T=2\pi \sqrt{\frac{r^3}{GM}}$$
where $r$ is the orbital radius and $M$ is the mass of the Earth.The formula contains the mass of the Earth but not the mass of the satellite ($m$). Therefore, $T$ is independent of the mass of the satellite.