1 citations · 3 across the 7 of their papers we have counts for
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math-ph2015★ 1 cited
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…
math-ph2015★ 1 cited
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…
math-ph2015★ 1 cited
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…