In Planetary Motion the Areal Velocity?

In a planetary motion, the areal velocity of the position vector of a planet depends on angular velocity (ω) and distance (r) of the planet from the sun.

What is the areal velocity of the planet?

The concept of areal velocity is closely linked historically with the concept of angular momentum. Kepler's second law states that the areal velocity of a planet, with the sun taken as origin, is constant.

What is areal velocity and its formula?

areal velocity = Δ A Δ t = L 2 m . ... Since the angular momentum is constant, the areal velocity must also be constant. This is exactly Kepler's second law. As with Kepler's first law, Newton showed it was a natural consequence of his law of gravitation.