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Dynamics on the cone: Closed orbits and superintegrability

Authors
Journal
Annals of Physics
0003-4916
Publisher
Elsevier
Volume
344
Identifiers
DOI: 10.1016/j.aop.2014.02.022
Keywords
  • Motion On A Cone
  • Bertrand Theorem
  • Superintegrability
  • [Formula Omitted]-Algebra
Disciplines
  • Mathematics

Abstract

Abstract 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 analysed for the case of Kepler and harmonic oscillator potentials.

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