Another name for "The Law of Areas" where two parts of an orbit move in the same times and sweep out equal areas
Kepler's Second Law
The Law of Areas is also known as Kepler's Second Law.
The name you are referring to is Kepler's Second Law of Planetary Motion. It states that as a planet or any other object moves in an elliptical orbit around the Sun (or another central body), the line connecting the planet to the Sun sweeps out equal areas in equal periods of time.
If you want to find another name for this law, you can consider calling it "The Equal-Areas Law" or "Kepler's Second Law of Equal Areas." These names highlight the fact that the law describes the equal areas swept by the radius vector connecting the planet to the Sun during equal time intervals.
Kepler's Second Law can be derived mathematically by considering the conservation of angular momentum in the planet's orbit. The specific mathematical derivation involves using calculus and some principles of celestial mechanics. However, the core concept is that the closer a planet is to the Sun during a certain period, the faster it moves, allowing it to sweep out a larger area in that time.
It's important to note that Kepler's Second Law is one of three laws formulated by the astronomer Johannes Kepler that describe the motion of planets. The other two laws are the Law of Ellipses (or Kepler's First Law) and the Harmonic Law (or Kepler's Third Law). All three laws collectively contributed immensely to our understanding of planetary motion and celebrated accurately describing the orbital behavior of celestial objects.