A Hamiltonian study of the stability and bifurcations for the satellite problem

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/85174

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.contributor.author	Muñoz Lecanda, Miguel Carlos
dc.contributor.author	Rodríguez Olmos, Miguel Andrés
dc.contributor.author	Teixidó Román, Miguel
dc.date	2015-10-01
dc.identifier.citation	Muñoz-Lecanda, Miguel C., Rodriguez, M., Teixidó-Román, M. A Hamiltonian study of the stability and bifurcations for the satellite problem. "Journal of nonlinear science", 01 Octubre 2015, vol. 25, núm. 6, p. 1347-1390.
dc.identifier.citation	0938-8974
dc.identifier.citation	10.1007/s00332-015-9257-6
dc.identifier.uri	http://hdl.handle.net/2117/85174
dc.language.iso	eng
dc.relation	http://link.springer.com/article/10.1007/s00332-015-9257-6/fulltext.html
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Hamiltonian graph theory
dc.subject	Differential equations
dc.subject	stability of satellites
dc.subject	Hamiltonian bifurcations
dc.subject	systems with symmetries
dc.subject	Equacions diferencials
dc.title	A Hamiltonian study of the stability and bifurcations for the satellite problem
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at Springer via http://dx.doi.org/10.1007/s00332-015-9257-6
dc.description.abstract	We study the dynamics of a rigid body in a central gravitational field modeled as a Hamiltonian system with continuous rotational symmetries following the geometric framework of Wang et al. Novelties of our work are the use the reduced energy-momentum for the stability analysis and the treatment of axisymmetric bodies. We explicitly show the existence of new relative equilibria and study their stability and bifurcation patterns.

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