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Publication Citation: The Relegation Algorithm

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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
Volume: 79
Issue: 3
Pages: pp. 157 - 182
Keywords: Hamiltonian dynamics;Lie transformations;PACS: 02.30.Mv, 03.20.+i, 11.10.Lm;perturbation methods
Research Areas: Math