On the dynamics of the rigid body with a fixed point: Periodic orbits and integrability
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Vera, Juan A. (Universidad Politécnica de Cartagena. Centro Universitario de la Defensa)

Date:	2013
Abstract:	The aim of the present paper is to study the periodic orbits of a rigid body with a fixed point and quasi-spherical shape under the effect of a Newtonian force field given by different small potentials. For studying these periodic orbits we shall use averaging theory. Moreover, we provide information on the C1-integrability of these motions.
Grants:	Ministerio de Economía y Competitividad MTM2011-22587 Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Rigid body with a fixed point ; Periodic orbits ; Integrability ; Averaging theory
Published in:	Nonlinear Dynamics, Vol. 74 (2013) , p. 327-333, ISSN 1573-269X

DOI: 10.1007/s11071-013-0972-y

Postprint 13 p, 1.9 MB

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