On the successive elimination of perturbation harmonics

DOI10.1007/BF00692424zbMath0772.58048MaRDI QIDQ1209261

Alessandro Morbidelli

Publication date: 16 May 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

chaotic motionFourier expansionperturbationsHamiltonian systemsresonancesKAM theoremaction-angle variables

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15)

Related Items (3)

Surfaces of section in the Miranda-Umbriel 3:1 inclination problem ⋮ Review of the dynamics in the Kirkwood gaps ⋮ Quantitative perturbation theory by successive elimination of harmonics

Cites Work

• A semi-numerical perturbation method for separable Hamiltonian systems
• The main secular resonances \(\nu{}_ 6,\nu{}_ 5\) and \(\nu{}_{16}\) in the asteroid belt
• Quantitative perturbation theory by successive elimination of harmonics
• Surfaces of section in the Miranda-Umbriel 3:1 inclination problem
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures

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