Derive the time period of satellite orbiting the Earth.

The time period of a satellite orbiting Earth in a circular orbit is independent of

What is the time period of satellite near the earth's surface? (neglect height of the orbit of satellite from the surface of the earth)?

For a satellite orbiting close to the surface of earth the period of revolution is 84 min . The time period of another satellite orbiting at a height three times the radius of earth from its surface will be