The Keplerian regime of a charged particle in planetary magnetospheres M. Iñarrea1 , V. Lanchares1 , J. Palacián2 , A. I. Pascual1 , J. P. Salas1 and P. Yanguas2 1 2 Universidad de La Rioja, 26004 Logroño, Spain. Universidad Pública de Navarra, 31006 Pamplona, Spain. ∗ June 16, 2003 Abstract We study the dynamics of a charged particle orbiting a rotating magnetic planet, under the assumption that the magnetic field is created by a perfect magnetic dipole and the magnetosphere surrounding the planet is a rigid conducting plasma which rotates with the same angular velocity as the planet. After a Delaunay normalisation and taking into account discrete symmetries, the reduced phase space is characterized and relative equilibria and bifurcations are discussed. ∗ [email protected], [email protected], [email protected], [email protected], [email protected] [email protected],