The main mean motion commensurabilities in the planar circular and elliptic problem
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Publication:1311625
DOI10.1007/BF00692465zbMath0786.70008OpenAlexW4241380132MaRDI QIDQ1311625
Michèle Moons, Alessandro Morbidelli
Publication date: 10 May 1994
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00692465
phase spaceeccentricityplanar restricted three-body problemaction-angle variablessecular resonancessecondary resonancessurfaces of section
Three-body problems (70F07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15)
Related Items (11)
A note concerning the 2:1 and the 3:2 resonances in the asteroid belt ⋮ Large scale chaos and marginal stability in the solar system ⋮ On a global expansion of the disturbing function in the planar elliptic restricted three-body problem ⋮ Review of the dynamics in the Kirkwood gaps ⋮ Three-dimensional structure of mean motion resonances beyond Neptune ⋮ Capture into first-order resonances and long-term stability of pairs of equal-mass planets ⋮ Origin and continuation of \(3/2, 5/2, 3/1, 4/1\) and \(5/1\) resonant periodic orbits in the circular and elliptic restricted three-body problem ⋮ The resonance overlap and Hill stability criteria revisited ⋮ Expansion of the disturbing function for high eccentricity and large amplitude of libration ⋮ Asymmetric librations in exterior resonances ⋮ The main mean motion commensurabilities in the planar circular and elliptic problem
Cites Work
- A semi-numerical perturbation method for separable Hamiltonian systems
- The main mean motion commensurabilities in the planar circular and elliptic problem
- High-order resonances in the restricted three-body problem
- A perturbation method for problems with two critical arguments
- BURRAU'S PROBLEM OF THREE BODIES
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