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Physics, 21.08.2019 00:10 wmaingrette1

Amass m moves in a circular orbit of radius r0 under the inuence of a central force whose potential is given by where k is a positive constant and n is a positive integer. (a) determine the constraint on n that must hold for the particle orbit to be stable under small oscillations (i. e., the mass will oscillate about the circular orbit). (b) for n = 1, compute the frequency of small radial oscillations about this circular orbit.

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