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A planet of mass m and an angular momentum L moves in a circular orbit in a potential, V(r) =-k/r, where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillations is (a) mk² / /2L³ (b) mk? / L (c) v V2mk? / L (d) v V3mk? / L

A planet of mass m and an angular momentum L moves in a circular orbit in a potential, V(r) =-k/r, where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillations is (a) mk² / /2L³ (b) mk? / L (c) v V2mk? / L (d) v V3mk? / L

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A planet of mass m and an angular momentum L moves in a circular orbit in a potential, V(r)=-k/r, where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillations is (a) mk² / /2L3 (b) mk? / L (c) V2mk? / L (d) V3mk? / L
Transcribed Image Text:A planet of mass m and an angular momentum L moves in a circular orbit in a potential, V(r)=-k/r, where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillations is (a) mk² / /2L3 (b) mk? / L (c) V2mk? / L (d) V3mk? / L
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