The Keplerian regime of charged particles in planetary magnetospheres

DOI10.1016/j.physd.2004.07.009zbMath1076.85002OpenAlexW2047726212MaRDI QIDQ1888057

Manuel Iñarrea, J. Pablo Salas, Ana I. Pascual, Patricia Yanguas, Jesús F. Palacián, Victor Lanchares

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.07.009

zbMATH Keywords

EquilibriaStørmer problemAveraging the mean anomalyPeriodic orbits and invariant toriPerturbed Kepler problemsPlanetary magnetospheresReconstruction of the flowStability and bifurcations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Celestial mechanics (70F15) Motion of charged particles (78A35) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (15)

Dynamics of a satellite orbiting a planet with an inhomogeneous gravitational field ⋮ Regular and singular reductions in the spatial three-body problem ⋮ Equatorial dynamics of charged particles in planetary magnetospheres ⋮ The effect of \(J_{2}\) on equatorial and halo orbits around a magnetic planet ⋮ Symplectic coordinates on \(S^2\times S^2\) for perturbed Keplerian problems: application to the dynamics of a generalised Størmer problem ⋮ Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry ⋮ Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark ⋮ Influence of planetary oblateness on Keplerian dynamics in magnetospheres and existence of invariant tori ⋮ Secular motion around synchronously orbiting planetary satellites ⋮ Hamiltonian fourfold \(1:1\) resonance with two rotational symmetries ⋮ Global dynamics of dust grains in magnetic planets ⋮ Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging ⋮ Periodic solutions of symmetric Kepler perturbations and applications ⋮ Bifurcation of frozen orbits in a gravity field with zonal harmonics ⋮ Reduction of some perturbed Keplerian problems

Cites Work

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