Periodic orbits of the planar anisotropic Kepler problem
Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics (Egipte). Astronomy Department)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)

Date:	2017
Abstract:	In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. Moreover we provide approximate analytic expressions for these periodic orbits. The tool for proving this result is the averaging theory.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2014-51891-P Ministerio de Economía y Competitividad MTM2013-40998-P European Commission 316338 European Commission 318999
Note:	Agraïments: The second author of this work was partially supported by Fundación Séneca de la Región de Murcia grant number 19219/PI/14.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Anisotropic Kepler problem ; Averaging theory ; Periodic orbit
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 3 (2017) , p. 1750039, ISSN 1793-6551

DOI: 10.1142/S0218127417500390

Postprint 9 p, 300.5 KB

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