Canonical Poisson structure on T*SE(3) and the Hamiltonian mechanics of solids. Dynamics of a magnetic dipole in the external field

TitleCanonical Poisson structure on T*SE(3) and the Hamiltonian mechanics of solids. Dynamics of a magnetic dipole in the external field
Publication TypeJournal Article
Year of Publication2014
AuthorsZub, SS
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.04.037
Issue4
SectionInformation Science and Cybernetics
Pagination37-42
Date Published4/2014
LanguageRussian
Abstract

We consider a canonical Poisson structure on the cotangent bundle T*SE(3) as a basis for the Hamiltonian mechanics of solids. The Poisson brackets for base dynamic variables are calculated in the different representations. We propose a "mixed" representation so that the forward and rotatory degrees of freedom are described in an inertial reference frame and in the body frame, respectively. The equation of motion is obtained for a magnetic dipole in the external field.

Keywordscanonical Poisson structure, Hamiltonian mechanics of solids
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