C

To determine which of the parameters affects the orbital period of a satellite, we can use Kepler's third law of planetary motion, which states that the square of the orbital period (T) of a satellite is directly proportional to the cube of the semi-major axis (r) of its orbit, given by the equation:
$$ T^2 \propto r^3 $$
In the case of a circular orbit around a planet, the formula for the period is:
$$ T = 2\pi\sqrt{\frac{r^3}{GM}} $$
where G is the gravitational constant and M is the mass of the planet.
Therefore, the orbital period T depends on the mass of the planet (M) and the radius of the orbit (r) only.
The mass of the satellite does not appear in this equation, indicating that the period is independent of the mass of the satellite.
Hence, the correct answer is C.