1. The problem statement, all variables and given/known data https://aapt.org/physicsteam/2010/upload/2009_F-ma.pdf 2. Relevant equations L = mrv L = Iω 3. The attempt at a solution For a circular orbit: Fc = Fg mv^2/r = Gmm/r^2 v = √(GM/R) Thus: l = mR√(GM/R) l = m√(GMR) This means that LA > LC, eliminating choices B, C, and E. Now, to compare B, C I'm interested in finding a more rigorous approach, but here goes. The point of intersection between the Circlular path that C orbits on and the elliptical path that B orbits. We know that the velocity at the perihelion is greater than the aphelion, that is, the velocity of the intersection is the maximum velocity that B ever achieves. I then made an intelligent guess and postulated that thus B > C, leading to LA > LB > LC Could you suggest more rigor/principles to do this question?