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Conserved Quantities in Satellite Orbit

APPHMC-C5JRQF

A satellite is launched from the surface of the moon with an initial velocity of magnitude $v_0$, as shown above, and encounters zero air resistance or drag forces. Assume that gravitational forces from outside the system have an insignificant effect on the satellite's orbit.

Which of the following are conserved by the satellite-moon system throughout the orbit?

I. Total mechanical energy.
II. Linear momentum.
III. Angular momentum.

A

I only.

B

I and II only.

C

II and III only.

D

I and III only.

E

I, II, and III only.