Classical Mechanics (Kibble & Berkshire) · Problem 7.27
Non-linear oscillations and phase space — T.W.B. Kibble, F.H. Berkshire
Physics — Mechanics · effect-of-resistance
Problem
Repeat the last problem for the case in which the particle moves under the simple harmonic attractive field −(mΩ2r)r^ with the same law of resistance. Show that, in this case, the body slows down as the orbit contracts. [This problem can be solved exactly in Cartesian coordinates, but do not do it this way.]