On Hamiltonian averaging theories and resonance

DOI10.1007/BF00048822zbMath0889.70007MaRDI QIDQ1371417

J. Ning

Publication date: 28 October 1997

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

zbMATH Keywords

Hamiltonian perturbation theoriesHori's theoryresonant critical angle

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (4)

On Hamiltonian averaging theories and resonance ⋮ Resonance dynamics and partial averaging in a restricted three-body system ⋮ Formal solution of the asteroid motion near the 2:1 commensurability ⋮ Analytical proper elements for the Hilda asteroids. I: Construction of a formal solution

Cites Work

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• On Hamiltonian averaging theories and resonance
• A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems
• A theory of integration for the extended Delaunay method
• Canonical transformations depending on a small parameter
• Equivalence of the perturbation theories of Hori and Deprit
• A new algorithm for the Lie transformation

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