Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem

DOI10.1007/s10569-004-0552-zzbMath1136.70008OpenAlexW2079939352MaRDI QIDQ1766275

Claude Froeschlé, Alessandra Celletti, Elena Lega

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/s10569-004-0552-z

zbMATH Keywords

invariant toriisoenergetic KAM theorem

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (3)

Qualitative and analytical results of the bifurcation thresholds to halo orbits ⋮ KAM tori for \(n\)-body problems: a brief history ⋮ A cartographic study of the phase space of the elliptic restricted three body problem. Application to the Sun-Jupiter-asteroid system

Cites Work

• The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping
• Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
• Numerical investigations of the structure around an invariant KAM torus using the frequency map analysis
• KAM stability and celestial mechanics
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES

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