Kepler's Third Law Derivation

The video tutorial covers the derivation of Kepler's third law of planetary motion, focusing on circular orbits. It begins with an introduction to the law, followed by assumptions and a free-body diagram. The derivation process is detailed, showing the relationship between the orbital period and the semimajor axis. The tutorial concludes with a discussion on the limitations of the derivation, noting that it applies to circular orbits and is valid for any satellite orbiting a star.

What is the relationship between the orbital period and the radius of the orbit as derived in the lesson?

What did Billy point out regarding the proof of Kepler's third law?

In what scenarios is Kepler's third law applicable?