McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature

• Andrade, Jaime ^[1] ; Crespo, Francisco ^[1] ; Paulina, Martínez Y ^[1] ; Vidal, Claudio ^[1]
  1. [1] Universidad del Bío-Bío

     Universidad del Bío-Bío

     Comuna de Concepción, Chile

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 1, 2020
• Idioma: inglés
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• Resumen

  • In this work we address the local behaviour at collision of the Kepler problem on surfaces of constant curvature. A full description of dynamics in the extended energy surface is given relying in the energy and mass values. Our analysis reveals remarkable differences with the classical Newtonian case. In particular, the collision surface does not coincides with the null energy surface.