Analysis of resonances in the spin-orbit problem in celestial mechanics. II: Higher order resonances and some numerical experiments

DOI10.1007/BF00945951zbMath0711.70016OpenAlexW2009094962MaRDI QIDQ922742

Alessandra Celletti

Publication date: 1990

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945951

zbMATH Keywords

Moon3:2 resonanceCelestial MechanicsMercury-Sun systemspin-orbit problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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KAM tori for \(n\)-body problems: a brief history ⋮ Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions ⋮ Large scale chaos and marginal stability in the solar system ⋮ Stability of the planar synchronous full two-body problem -- the approach of periodic orbits ⋮ Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem ⋮ 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 ⋮ Steady state obliquity of a rigid body in the spin-orbit resonant problem: application to Mercury ⋮ Hamiltonian formulation of the spin-orbit model with time-varying non-conservative forces ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ Regions of stability in rotational dynamics ⋮ KAM quasi-periodic solutions for the dissipative standard map ⋮ Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction ⋮ Construction of librational invariant tori in the spin-orbit problem

Cites Work

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• Two-Dimensional Measure-Preserving Mappings