Comparison between Deprit and Dragt-Finn perturbation methods

DOI10.1007/BF00692115zbMath1446.70041OpenAlexW2065440656MaRDI QIDQ2210907

Pierre-Vincent Koseleff

Publication date: 9 November 2020

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

Full work available at URL: https://doi.org/10.1007/bf00692115

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Hamiltonian and Lagrangian mechanics (70H99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

Related Items (3)

Relations among Lie-series transformations and isomorphisms between free Lie algebras ⋮ Preface: Homogenization-Based Numerical Methods ⋮ Kato perturbative expansion in classical mechanics and an explicit expression for the Deprit generator

Cites Work

• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Free Lie algebras and free monoids. Bases of free Lie algebras and factorizations of free monoids
• On a relation among Lie series
• Lie series and invariant functions for analytic symplectic maps
• Formal integrals for an autonomous Hamiltonian system near an equilibrium point
• Canonical transformations depending on a small parameter
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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