On the Periodic Structure of the Anisotropic Manev Problem

  • Juan Luis García GuiraoEmail author
  • José Luis Roca
  • Juan Antonio Vera López


The aim of the present work is to provide sufficient conditions for the existence of periodic orbits of the first and second kind in the sense of Poincaré for the Anisotropic Manev problem. Moreover, we are also able to provide information on the stability and bifurcations of the orbits obtained. The main tool that we use is the averaging theory of dynamical systems.


Celestial mechanics Anisotropic Manev problem Averaging theory of dynamical systems Periodic orbits 

Mathematics Subject Classification

Primary 70F05 70F15 



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Authors and Affiliations

  1. 1.Departamento de Matemática Aplicada y EstadísticaUniversidad Politécnica de Cartagena, Hospital de MarinaCartagenaSpain
  2. 2.Centro Universitario de la Defensa, Academia General del AireUniversidad Politécnica de CartagenaSantiago de la RiberaSpain

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