Arnol'd diffusion in the elliptic restricted three-body problem
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Publication:2368047
DOI10.1007/BF01053161zbMath0777.34034OpenAlexW2042409081MaRDI QIDQ2368047
Publication date: 22 August 1993
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01053161
stabilitychaosHamiltonian systems\(n\)-body problemcelestial mechanicselliptic restricted three-body problemtransversal homoclinic orbitsArnol'd diffusion
Three-body problems (70F07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems and ergodic theory (37-XX)
Related Items (9)
Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem ⋮ Non-integrability of the planar elliptic restricted three-body problem ⋮ Hyperbolicity, transversality and analytic first integrals. ⋮ Oscillatory orbits in the restricted planar four body problem ⋮ Global instability in the restricted planar elliptic three body problem ⋮ An approach to Mel’nikov theory in celestial mechanics ⋮ DYNAMICAL EFFECTS FROM ASTEROID BELTS FOR PLANETARY SYSTEMS ⋮ Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument ⋮ Chaos in the Gyldén problem
Cites Work
- Some homoclinic phenomena in the three-body problem
- Melnikov method and transversal homoclinic points in the restricted three-body problem
- Oscillatory solutions in the planar restricted three-body problem
- A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
- Stable and Random Motions in Dynamical Systems
- Stabilité ou instabilité des points fixes elliptiques
- Horseshoes for autonomous Hamiltonian systems using the Melnikov integral
- Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
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