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Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials

Miguel A. López

Departamento de Matemáticas, Universidad de Castilla-La Mancha, Campus de Cuenca, 16071 Cuenca, Spain

E-mail Address: mangel.lopez@uclm.es

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Raquel Martínez

Departamento de Matemáticas, Universidad de Castilla-La Mancha, Campus de Cuenca, 16071 Cuenca, Spain

E-mail Address: raquel.martinez@uclm.es

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Juan A. Vera

Centro Universitario de la Defensa, Academia General del Aire, Universidad Politécnica de Cartagena, 30720 Santiago de la Ribera, Región de Murcia, Spain

E-mail Address: juanantonio.vera@cud.upct.es

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https://doi.org/10.1142/S0218127415400258Cited by:7 (Source: Crossref)

Abstract

In this paper, we analyze the periodic structure of the anisotropic Kepler problem with the same type of perturbations using symplectic Delaunay coordinates and averaging theory. Moreover, sufficient conditions for existence and kind of stability of this class of perturbed Kepler problems are given.

Keywords:

References

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