A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems

DOI10.1007/BF01230421zbMath0488.70014OpenAlexW2029878952MaRDI QIDQ3950022

A. H. Jupp

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01230421

zbMATH Keywords

Lie series methodexpansions in power seriesmodified Bohlin-von Zeipel methodPoincare-von Zeipel methodstate of resonance

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15)

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Cites Work

• A second-order global solution of the ideal resonance problem
• Theory of the Trojan asteroids Part II
• The Ideal Resonance Problem: A comparison of the solutions expressed in terms of mean elements and in terms of initial conditions
• Canonical transformations depending on a small parameter
• The equivalence of von Zeipel mappings and Lie transforms
• A second-order solution of the Ideal Resonance Problem by Lie series
• The global solution of the problem of the critical inclination