An algebraic method of obtaining of symplectic coordinates in a rigid body dynamics
Chaotic Dynamics
2007-05-23 v1
Abstract
An algebraic procedure of getting of canonical variables in a rigid body dynamics is presented. The method is based on using a structure of an algebra of Lie-Poisson brackets with which a Hamiltonian dynamics is set. In a particular case of a problem of a top in a homogeneous gravitation field the method leads to well-known Andoyer-Deprit variables. Earlier, the method of getting of them was based on geometric approach.
Keywords
Cite
@article{arxiv.nlin/0004036,
title = {An algebraic method of obtaining of symplectic coordinates in a rigid body dynamics},
author = {Alexander Pavlov},
journal= {arXiv preprint arXiv:nlin/0004036},
year = {2007}
}
Comments
6 pages, LaTeX