An algebraic method of obtaining of symplectic coordinates in a rigid body dynamics
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2000
- DOI:
- 10.48550/arXiv.nlin/0004036
- arXiv:
- arXiv:nlin/0004036
- Bibcode:
- 2000nlin......4036P
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 6 pages, LaTeX