A Perturbation of the Relativistic Kepler Problem

  • Ana Nunes
  • Josefina Casasayas
  • Jaume Llibre
Part of the NATO ASI Series book series (NSSB, volume 272)


We consider the Kepler Problem with the first order relativistic correction and show that, for a suitable class of perturbations, “almost all” the invariant tori and cylinders of the unperturbed system persist and that the perturbed system has strong evidences of non-integrability.


Circular Orbit Unstable Manifold Homoclinic Orbit Invariant Torus Unperturbed System 


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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Ana Nunes
    • 1
  • Josefina Casasayas
    • 2
  • Jaume Llibre
    • 3
  1. 1.Departamento de Física, Faculdade de CienciasUniversidade de LisboaLisboaPortugal
  2. 2.Departament de Matemàtica Aplicada i Anàlisi, Facultat de MatemàtiquesUniversitat de BarcelonaBarcelonaSpain
  3. 3.Departament de Matemàtiques, Facultat de CiènciesUniversitat Autónoma de Barcelona BellaterraBarcelonaSpain

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