SOLAR SYSTEM

Detailed explanation-1: -Kepler’s Second Law: the imaginary line joining a planet and the Sun sweeps equal areas of space during equal time intervals as the planet orbits. Basically, that planets do not move with constant speed along their orbits.

Detailed explanation-2: -The second law (Law of areas): The radius vector drawn from the sun to the planet sweeps out equal areas in equal intervals of time.

Detailed explanation-3: -“The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.” That’s Kepler’s Third Law in a nutshell, and it arises from the third physical property of ellipses, related to its various axis points.

Detailed explanation-4: -"Equal areas in equal times” means the rate at which area is swept out on the orbit (dA/dt) is constant. So Kepler’s Second Law Revised: The rate at which a planet sweeps out area on its orbit is equal to one-half its angular momentum divided by its mass (the specific angular momentum).

Detailed explanation-5: -If the size of the orbit (a) is expressed in astronomical units (1 AU equals the average distance between the Earth and Sun) and the period (P) is measured in years, then Kepler’s Third Law says P2 = a3.