A body is projected from earth’s surface to become its satellite. Its time period of revolution will not depend upon

The orbital period of a satellite depends on the radius of its orbit and the mass of the central body, such as Earth, but it is independent of the satellite’s mass. This means that whether the satellite is small or large, its orbital period remains unchanged as long as the orbital radius and the central body’s mass remain constant. This principle highlights that the motion of a satellite is governed by gravitational forces and does not rely on the satellite’s own mass, making it a fundamental aspect of orbital mechanics.

T = 2π√((R + h)³ / GM),
Clearly, T does not depend on the mass m of the satellite.