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- W476401 abstract "We study the dynamics of charged particles around a rotating magnetic planet. The system is modelled by the Hamiltonian of the two-body problem to which we attach an axially-symmetric function which goes to infinity as soon as the particle approaches the planet. This perturbation consists in a magnetic dipole field and a corotational electric field. When it is weak compared to the Keplerian part of the Hamiltonian we average the system with respect to the mean anomaly. After trun- cating higher-order terms we use invariant theory to reduce the averaged system by virtue of its continuous and discrete symmetries, determining also the successive reduced phase spaces. Thence, we analyse the flow of the resulting system in the most reduced phase space, describing the equilibria, stability, as well as the different classes of bifurcations." @default.
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- W476401 date "2004-01-01" @default.
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- W476401 title "On the dynamical of charged particles around rotating magnetic planets: perturbed Keplerian motions" @default.
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