Dynamics on the cone: closed orbits and superintegrability
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🧮 math-ph
math.MPquant-ph
keywords
caseconemotionsuperintegrabilityadditionalanalyzedbertrandclosed
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The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented. The superintegrability of such models is discussed. The additional integrals of motion are analyzed for the case of Kepler and harmonic oscillator potentials.
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