Wisdom system: dynamics in the adiabatic approximation

DOI10.1007/s10569-004-1008-1zbMath1136.70007OpenAlexW1977089109MaRDI QIDQ1766266

A. I. V. V. Sidorenko, Anatoly I. Neishtadt

Publication date: 28 February 2005

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-004-1008-1

zbMATH Keywords

mean-motion resonancesadiabatic chaosmathematical pendulum

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (11)

Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems ⋮ Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem ⋮ Jump of the adiabatic invariant at a separatrix crossing: degenerate cases ⋮ Dynamics of ``jumping Trojans: a perturbative treatment ⋮ An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes ⋮ Quasi-satellite orbits in the general context of dynamics in the \(1:1\) mean motion resonance: perturbative treatment ⋮ An Overview on the Nekhoroshev Theorem ⋮ On the rotation of comet Borrelly's nucleus ⋮ Periodic orbits near a bifurcating slow manifold ⋮ On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems ⋮ A non-planar circular model for the 4/7 resonance

Cites Work

• Resonant motion in the restricted three-body problem
• Relaxation-chaos phenomena in celestial mechanics. I. On Wisdom's model for the 3/1 Kirkwood gap
• The elliptic restricted problem at the 3:1 resonance
• Stable periodic motions in the problem on passage through a separatrix

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