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

Aldizkaria:
Physica D: Nonlinear Phenomena

ISSN: 0167-2789

Argitalpen urtea: 2012

Alea: 241

Zenbakia: 11

Orrialdeak: 1026-1042

Mota: Artikulua

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

Beste argitalpen batzuk: Physica D: Nonlinear Phenomena

Lotura duten proiektuak

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

2012/00015/001

Laburpena

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.