Quantitative perturbation theory by successive elimination of harmonics

DOI10.1007/BF00692425zbMath0772.58049MaRDI QIDQ1209262

Alessandro Morbidelli, Antonio Giorgilli

Publication date: 16 May 1993

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

zbMATH Keywords

perturbationKAM theoremaction-angle variablesNekhoroshev theorem

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 (5)

Quasi-effective stability for nearly integrable Hamiltonian systems ⋮ Explicit estimates on the measure of primary KAM tori ⋮ An introduction to Hamiltonian dynamical systems and practical perturbation methods: New insight by successive elimination of perturbation harmonics ⋮ On the successive elimination of perturbation harmonics ⋮ Superexponential stability of KAM tori.

Cites Work

• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• A semi-numerical perturbation method for separable Hamiltonian systems
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• On the successive elimination of perturbation harmonics
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Complex analysis and convolution operators
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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