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A Hamiltonian study of the stability and bifurcations for the satellite problem
dc.contributor.author | Muñoz Lecanda, Miguel Carlos |
dc.contributor.author | Rodríguez Olmos, Miguel Andrés |
dc.contributor.author | Teixidó Román, Miguel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-04-05T09:34:40Z |
dc.date.available | 2016-10-03T00:30:12Z |
dc.date.issued | 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.issn | 0938-8974 |
dc.identifier.uri | http://hdl.handle.net/2117/85174 |
dc.description | 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. |
dc.format.extent | 44 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Hamiltonian graph theory |
dc.subject.lcsh | Differential equations |
dc.subject.other | stability of satellites |
dc.subject.other | Hamiltonian bifurcations |
dc.subject.other | systems with symmetries |
dc.title | A Hamiltonian study of the stability and bifurcations for the satellite problem |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.identifier.doi | 10.1007/s00332-015-9257-6 |
dc.relation.publisherversion | http://link.springer.com/article/10.1007/s00332-015-9257-6/fulltext.html |
dc.rights.access | Open Access |
local.identifier.drac | 17543600 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Muñoz-Lecanda, Miguel C.; Rodriguez, M.; Teixidó-Román, M. |
local.citation.publicationName | Journal of nonlinear science |
local.citation.volume | 25 |
local.citation.number | 6 |
local.citation.startingPage | 1347 |
local.citation.endingPage | 1390 |
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