A Hamiltonian study of the stability and bifurcations for the satellite problem
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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.
The final publication is available at Springer via http://dx.doi.org/10.1007/s00332-015-9257-6
CitationMuñoz-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.