Quaternions in Hamiltonian dynamics of a rigid body -- Part II. Relation of canonical Poisson and Lie-Poisson structures
It was proposed the Lie group such that symplectic structure of orbits of co-adjoint representation of the group is revealed symplectic structure of a rigid body dynamics in quaternion variables. It is shown that Poisson brackets of corresponding Lie-Poisson structure coincide with canonical Poisson...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | It was proposed the Lie group such that symplectic structure of orbits of
co-adjoint representation of the group is revealed symplectic structure of a
rigid body dynamics in quaternion variables. It is shown that Poisson brackets
of corresponding Lie-Poisson structure coincide with canonical Poisson brackets
on cotangent bundle of group unit quaternions. |
|---|---|
| DOI: | 10.48550/arxiv.1508.04005 |