A fourth-order solution of the ideal resonance

DOI10.1007/BF00699734zbMath0779.70008OpenAlexW1560509826MaRDI QIDQ687252

József Kovács, Bálint Érdi

Publication date: 3 November 1993

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

Full work available at URL: https://doi.org/10.1007/bf00699734

zbMATH Keywords

Hamiltonian systemselliptic integralsKepler equationtime variable of the pendulum

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 (1)

Fast computation of complete elliptic integrals and Jacobian elliptic functions

Cites Work

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• The ideal resonance problem a comparison of two formal solutions I
• A new approach to the librational solution in the Ideal Resonance Problem
• A second-order global solution of the ideal resonance problem
• A geometric approach to the Ideal Resonance Problem
• A second-order solution of the Ideal Resonance Problem by Lie series

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