Describe the relationship between the Law of Universal Gravitation and uniform circular motion and recognise this as the third law of planetary motion.

Describe the relationship between the Law of Universal Gravitation and uniform circular motion in the context of planetary orbits.

Which statement describes the relationship between gravitational force and the orbital motion of planets that leads to Kepler's third law?

A satellite of mass m orbits a planet of mass M in a stable circular orbit at radius r. Describe how the gravitational force between the planet and satellite provides the centripetal force required for circular orbital motion, and hence explain why the orbital period is independent of the satellite's mass.

Describe how the Law of Universal Gravitation provides the centripetal force required for the satellite's uniform circular motion around Jupiter.