Show that the angular momentum in circular orbit around a mass
M can be written as functions of just the masses, the
orbit radius, and G.
L = r x p = r x mv
L = Iw
The Attempt at a Solution
I had no trouble showing that the total energy can be written with these variables, but the angular momentum is proving much tougher. I know this has to do with Keplars Law and maybe this will help:
Newton's law of universal gravitation states that the force is proportional to the inverse square of the distance; a_r = -GM/r^2