Classical Mechanics (Kibble & Berkshire) · Problem 14.13

The general theory of small oscillations — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · energy-surfaces-phase-space-bounded

Problem

Decide if the energy surfaces in phase space are bounded in the following cases: ((i)) The two-body gravitation problem with E<0E < 0. ((ii)) The two-body gravitation problem viewed from the zero momentum frame and with E<0E < 0. ((iii)) The three-body gravitation problem viewed from the zero momentum frame and with E<0E < 0. Does the solar system have the recurrence property?

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