Influence of planetary oblateness on Keplerian dynamics in magnetospheres and existence of invariant tori

  1. Iñarrea, M. 1
  2. Lanchares, V. 1
  3. Palacián, J.F. 2
  4. Pascual, A.I. 1
  5. Salas, J.P. 1
  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

Any de publicació: 2012

Volum: 241

Número: 11

Pàgines: 1026-1042

Tipus: Article

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DOI: 10.1016/J.PHYSD.2012.02.017 SCOPUS: 2-s2.0-84859424885 WoS: WOS:000303360800003 GOOGLE SCHOLAR

Altres publicacions en: Physica D: Nonlinear Phenomena

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Formas normales en sistemas dinámicos hamiltonianos: aplicaciones en Física y Química

2012/00015/001

Resum

The problem of the dynamics of a charged particle orbiting around a rotating magnetic planet is revisited, the goal being twofold. On the one hand the model takes into account, apart from the magnetic and the electric field, the gravitational potential of the planet where the effect of the planetary oblateness is also incorporated. The techniques used in this analysis include averaging with respect to the mean anomaly, reduction to the simplest possible reduced space, study of the possible relative equilibria with the occurring parametric bifurcations and the stability analysis of these equilibria using normal forms. Also, we prove the existence of KAM 3-tori of the original system from the relative equilibria that are elliptic points in the fully-reduced space. © 2012 Elsevier B.V. All rights reserved.