Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Yuan, Pengfei (Southwest University. School of Mathematics and Statistics (China))

Date:	2019
Abstract:	In this paper we use the averaging theory for studying the periodic solutions of the planar anisotropic Manev problem and of two perturbations of the hydrogen atom problem. When a convenient parameter is sufficiently small we prove that for every value e∈ (0, 1) a unique elliptic periodic solution with eccentricity e of the Kepler problem can be continued to the mentioned three problems.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solutions ; Averaging theory ; Anisotropic Manev problem ; Hydrogen atom problem
Published in:	Qualitative theory of dynamical systems, Vol. 18, Issue 3 (December 2019) , p. 969-986, ISSN 1662-3592

DOI: 10.1007/s12346-019-00322-y

Post-print 18 p, 281.7 KB

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