BREAKDOWN OF LIBRATIONAL INVARIANT SURFACES

DOI10.1142/S0218127499000705zbMath1089.70511OpenAlexW2056253622MaRDI QIDQ5474012

Corrado Falcolini, Alessandra Celletti, Miquel A. Andreu

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000705

zbMATH Keywords

Newton's methodspin-orbit resonancesGreene's criterion

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Cites Work

• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system
• A rigorous partial justification of Greene's criterion
• Construction of librational invariant tori in the spin-orbit problem
• On the stability of realistic three-body problems
• Greene's residue criterion
• ON THE DETERMINATION OF THE STOCHASTICITY THRESHOLD OF INVARIANT CURVES
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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