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| Title: | A Hamiltonian study of the stability and bifurcations for the satellite problem |
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| Author: | Muñoz Lecanda, Miguel Carlos; Rodríguez Olmos, Miguel Andrés; Teixidó Román, Miguel |
| Other authors: | Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
| Abstract: | The final publication is available at Springer via http://dx.doi.org/10.1007/s00332-015-9257-6 |
| 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. |
| Subject(s): | -Àrees temàtiques de la UPC::Matemàtiques i estadística -Hamiltonian graph theory -Differential equations -stability of satellites -Hamiltonian bifurcations -systems with symmetries -Equacions diferencials |
| Rights: | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| Document type: | Article - Submitted version Article |
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