The Keplerian regime of charged particles in planetary magnetospheres

  1. Iñarrea, M. 1
  2. Lanchares, V. 1
  3. Palacián, J.F. 2
  4. Pascual, A.I. 1
  5. Pablo Salas, J. 12
  6. Yanguas, P. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

Revista:
Physica D: Nonlinear Phenomena

ISSN: 0167-2789

Año de publicación: 2004

Volumen: 197

Número: 3

Páginas: 242-268

Tipo: Artículo

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DOI: 10.1016/J.PHYSD.2004.07.009 SCOPUS: 2-s2.0-4644229753 WoS: WOS:000224441300004 GOOGLE SCHOLAR

Otras publicaciones en: Physica D: Nonlinear Phenomena

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

The dynamics of a charged particle orbiting around a rotating magnetic planet is studied. The system is modelled by the two-body Hamiltonian perturbed by an axially-symmetric function which goes to infinity as soon as the particle approaches the planet. The 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 up to first order in terms of a small parameter defined by the ratio between the magnetic and the Keplerian interactions. After dropping 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. Then, we study the flow of the resulting system in the most reduced phase space, describing all equilibria and their stability, as well as the different classes of bifurcations. Finally, we connect the analysis of the flow on these reduced phase spaces with the one of the original system. © 2004 Published by Elsevier B.V.