Yes, in the case of a satellite orbiting Earth, the centripetal force that keeps the satellite in its orbit is equal to the gravitational force between the satellite and Earth. Here's why:

* Centripetal force is the force that is required to keep an object moving in a circular path. It always points towards the center of the circle.

* Gravitational force is the force of attraction between any two objects with mass. In the case of a satellite, the gravitational force pulls it towards the Earth.

How it works:

1. Satellite's motion: A satellite in orbit is constantly moving in a circular path around Earth.

2. Centripetal force required: For this circular motion, a force is needed to constantly pull the satellite towards the center of its orbit. This is the centripetal force.

3. Gravity provides the force: The gravitational force between the Earth and the satellite provides the necessary centripetal force. This force acts as the "pull" that keeps the satellite from flying off in a straight line.

4. Equilibrium: If the gravitational force is too strong, the satellite will spiral down towards Earth. If it's too weak, the satellite will escape Earth's gravity. The balance between these forces is what keeps the satellite in a stable orbit.

Therefore, for a satellite in orbit, the centripetal force needed for its circular motion is supplied by the gravitational force between the satellite and Earth.