| 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 |
