Two similar particles move beneath the influence of a central force, for which the potential energy function is:
V(r) = - (k /r) (1 - ea/r),
where e = 0.177. Each and every particle moves on a circular orbit. The orbit radii are r1 = a and r2 = 2a; that is, in the ratio r2/r1 = 2.
(A) What is the ratio of the speeds, v2/v1.
(B) What is the ratio of the periods, T2/T1.