Home > Articles > Published articles > New families of periodic orbits for a galactic potential |
Date: | 2016 |
Abstract: | The Hamiltonian system associated to the Hamiltonian \[ H=(P_1^2 P_2^2 P_3^2)/2 (Q_1^2 Q_2^2 Q_3^2)/2 (Q_1^4 Q_2^4 Q_3^4 a(Q_1^2Q_2^2 Q_1^2Q_3^2 Q_2^2Q_3^2)), \] where and a are parameters and is small, describes the local motion in the central area of a galaxy. Its dynamics have been study by many authors. Here we find analytically new families of periodic orbits of this Hamiltonian system. |
Grants: | Ministerio de Ciencia e Innovación MTM2011-22587 Ministerio de Economía y Competitividad MTM2014-51891-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339 |
Note: | Agraïments: 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: | Averaging theory ; Family of periodic orbits ; Galactic potential |
Published in: | Chaos, solitons and fractals, Vol. 82 (2016) , p. 97-102, ISSN 0960-0779 |
Postprint 12 p, 1.7 MB |