1 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
Quaternions in Hamiltonian dynamics of a rigid body -- Part II. Relation of canonical Poisson and Lie-Poisson structures
Stanislav S. Zub, Sergiy I. Zub
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 quater…
Quaternions in Hamiltonian dynamics of a rigid body -- Part I
Stanislav S. Zub, Sergiy I. Zub
This paper showed that Poisson brackets in quaternion variables can be obtained directly from canonical Poisson brackets on cotangent bundle of (or ) endowed by cano…
Hamiltonian dynamics of a symmetric top in external fields having axial symmetry. Levitating Orbitron
Stanislav S. Zub, Sergiy I. Zub
The symmetric top is a special case of the general top, and canonical Poisson structure on is the common method of its description. This structure is invariant under the…
Reduction of T*SE(3) to the Poisson structure for a symmetric top
Stanislav S. Zub, Sergiy I. Zub
Symmetrical top is a special case of a general top. The canonical Poisson structure on T*SE(3) is the common method of its description. This Poisson structure is invariant under th…