(a) Two point particles of masses mi and m2 interact via the central potential U(r) = Uo In 12 + 62 where b is a constant with dimensions of length. i. What is the effective potential Uery(r)? For what values of the relative angular momentum f does a circular orbit exist? Find the radius ro of the circular orbit. ii. Suppose the orbit is nearly circular, with r(t) = ro +n(t), where In(t)|