Reduction of some perturbed Keplerian problems

DOI10.1016/j.chaos.2005.03.052zbMath1141.70304OpenAlexW2038187733MaRDI QIDQ813774

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

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.03.052

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (9)

Dynamics of a satellite orbiting a planet with an inhomogeneous gravitational field ⋮ 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 ⋮ Invariant tori in Hamiltonian systems with high order proper degeneracy ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ Influence of planetary oblateness on Keplerian dynamics in magnetospheres and existence of invariant tori ⋮ Lower-dimensional tori in multi-scale, nearly integrable Hamiltonian systems ⋮ Multiscale KAM theorem for Hamiltonian systems ⋮ On the detuned 2:4 resonance

Cites Work

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• Generalizations of the Störmer problem for dust grain orbits
• Monodromy in the hydrogen atom in crossed fields
• The Keplerian regime of charged particles in planetary magnetospheres
• Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields
• The critical inclination in artificial satellite theory
• The elimination of the parallax in satellite theory
• Non-restricted double-averaged three body problem in Hill's case
• Reduction, Brouwer's Hamiltonian, and the critical inclination
• Regularization of kepler's problem and the averaging method on a manifold
• Delaunay normalisations

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