Periodic solutions of a Galactic potential
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pasca, Daniel (University of Oradea(Romania). Department of Mathematics and Informatics)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2014
Abstract:	We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
Abstract:	We study analytically the periodic solutions of a Hamiltonian in R6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999
Note:	Agraïments: The third author was supported by Portuguese National Funds through FCT+Fundacâoao para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; First order perturbation ; Periodic solutions
Published in:	Chaos, solitons and fractals, Vol. 61 (2014) , p. 38-43, ISSN 0960-0779

DOI: 10.1016/j.chaos.2014.02.005

Postprint 12 p, 632.5 KB

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