Derivation:
The centripetal force required by the satellite to move in the circular orbit is provided by the gravitational pull of the earth acting on the satellite
Centripetal force required by the satellite is
Gravitational force of earth on the satellite is
It is obvious that the orbital velocity is independent of the mass of the satellite.
As the height of the orbit of the satellite decreases. the orbital velocity increases.
It depends on mass and radius of the earth around which it revolves.
When a satellite is very close to the earth's surface, height 'h' of the orbit can be neglected as compared to R.
But we know that, acceleration due to gravity
For a satellite close to earth