The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is L→ . The magnitude of the areal velocity of the planet is:
LM
2LM
L2M
4LM
Assuming SAB a triangle
A=12r2θ ⇒dAdt=12r2dθdt ⇒dAdt=12r2ω Now, Angular Momentum, L=Iω=Mr2ω ⇒r2ω=LM Thus , dAdt=12LM
⇒Areal velocity=dAdt=L2M