Global dynamics of dust grains in magnetic planets [rapid communication]

Details Global dynamics of dust grains in magnetic planets [rapid communication] Global dynamics of dust grains in magnetic planets [rapid communication]

May 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phla..338..247i&link_type=abstract

Physics Letters A, Volume 338, Issue 3-5, p. 247-252.

Physics

Scientific paper

We study the dynamics of a charged particle orbiting a rotating magnetic planet. The system is modelled by the Hamiltonian of the two-body problem perturbed by an axially-symmetric potential. The perturbation consists in a magnetic dipole field and a corotational electric field. After an averaging process we arrive at a one degree of freedom Hamiltonian system for which we obtain its relative equilibria and bifurcations. It is shown that the system exhibits a complex and rich dynamics. In particular, dramatic changes in the phase flow take place in the vicinity of a circular equatorial orbit, that in the case of Saturn is located inside the E-ring.

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