Question

For an object of mass m in a circular orbit of radius R under the gravitational influence of a center of mass M, find an expression for the total energy, the sum of kinetic and potential energy (with potential energy at infinite distance set to zero), in terms of the parameters given and Newton's constant G.

Find an expression for the angular momentum L=mvR of the orbital motion (where v is the orbital velocity) in terms of m, M, R, and G.