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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F044c2fef-7f7f-44ad-a61d-5e9581d5c5e9%2Fefa565fc-76ad-450a-8dbd-47772cb17a24%2F920phvk_processed.jpeg&w=3840&q=75)
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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