Satellite Orbit: Energy and Momentum at Two Points

APPH12-DJFOBY

For the elliptical orbit shown in the figure above, which of the following statements is true about points $A$ and $B$?

A

The mechanical energy of the system and the angular momentum of the satellite around the planet are greater at point $A$ than at point $B$.

B

The mechanical energy of the system is the same at points $A$ and $B$, but the angular momentum of the satellite around the planet is greater at point $A$ than at point $B$.

C

The mechanical energy of the system and the angular momentum of the satellite around the planet are the same at point $A$ and point $B$.

D

The mechanical energy of the system is the same at points $A$ and $B$, but the angular momentum of the satellite around the planet is greater at point $B$ than at point $A$.