4 citations · 8 across the 10 of their papers we have counts for
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Quaternions in Hamiltonian dynamics of a rigid body -- Part III. Asymmetric Top in the Orbitron
Stanislav S. Zub, Sergiy I. Zub
The Poisson structure in the quaternion variables was proposed for asymmetric top in the external axially symmetric magnetic field. For that model of interaction the motion equatio…
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…