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|Author(s):||A Deprit; E Deprit; Jesúus Palacián;|
|Title:||The Relegation Algorithm|
|Published:||March 03, 2001|
|Abstract:||Given a perturbed Hamiltonian system, normalization yields a Lie transformation which converts the main part of the Hamiltonian into an integral of the transformed system. An extension of the normalization method--the relegation algorithm--does the same for an arbitrary function G of the state variables; if the Lie derivative defined by G is semi-simple, a double recursion produces the generator of the relegating Lie transformation. Simple examples demonstrate how relegation works on the boundary of a parameter domain where normalization fails, and results are presented in detail so they may serve as benchmarks for computer codes implementing the relegation algorithm.|
|Citation:||Celestial Mechanics & Dynamical Astronomy|
|Pages:||pp. 157 - 182|
|Keywords:||Hamiltonian dynamics,Lie transformations,PACS: 02.30.Mv, 03.20.+i, 11.10.Lm,perturbation methods|