A theory of integration for the extended Delaunay method

DOI10.1007/BF01230849zbMath0613.70022OpenAlexW2081009428MaRDI QIDQ4720827

Wagner Sessin

Publication date: 1986

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230849

zbMATH Keywords

method of characteristicscharacteristic curvesresonant problemshigher order approximationsideal resonance problemextended Delaunay methodJacobian methodslibrational motionaveraging principle of Horipartial differential equation of Delaunay-Poincarésingularity of Poincaré

Mathematics Subject Classification ID

(n)-body problems (70F10) Nonlinear resonances for nonlinear problems in mechanics (70K30) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

On Hamiltonian averaging theories and resonance ⋮ Application of the extended Delaunay method to the ideal resonance problem ⋮ On resonance ⋮ Formal solution of the asteroid motion near the 2:1 commensurability

Cites Work

• Unnamed Item
• Resonance in regular variables II: Formal solutions for central and non-central first-order resonance
• An extended Ideal Resonance Problem
• A theory of libration

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