A satellite is called stationary or synchronous if its period (i.e. the time required for
one orbital revolution) is one day. What is the height above the Earth’s surface at which a synchronous satellite needs to be placed?
A similar reasoning: The centripetal acceleration is provided by the gravity, so it equals . Here R is the Earth's radius, M is the Earth's mass, h is the satellite's height above the Earth’s surface, v is the satellite's velocity, is the satellite's angular velocity and G is the gravitational constant. The angular velocity is given.