4.4 Article

Periodic orbits of the planar anisotropic generalized Kepler problem

Journal

JOURNAL OF MATHEMATICAL PHYSICS
Volume 60, Issue 4, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.5058728

Keywords

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Funding

  1. Ministerio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion [MTM2016-77278-P]
  2. Agencia de Gestio d'Ajuts Universitaris i de Recerca [2017SGR1617]
  3. H2020 European Research Council [MSCA-RISE-2017-777911]
  4. FCT/Portugal [UID/MAT/04459/2013]

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Many generalizations of the Kepler problem with homogeneous potential of degree -1/2 have been considered. Here, we deal with the generalized anisotropic Kepler problem with homogeneous potential of degree -1. We provide the explicit solutions of this problem on the zero energy level and show that all of them are periodic. Published under license by AIP Publishing,

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