Quaternions in Hamiltonian dynamics of a rigid body -- Part III. Asymmetric Top in the Orbitron

Abstract

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 equation were got. The model was simulated in the neighbourhood of a relative equilibrium of the symmetric top -- Orbitron by Monte Carlo method. For small deviations with respect to the symmetry we observe the persistence of the stability.

References in corpus (3)

• Hamiltonian dynamics of a symmetric top in external fields having axial symmetry. Levitating Orbitron
• Quaternions in Hamiltonian dynamics of a rigid body -- Part I
• Quaternions in Hamiltonian dynamics of a rigid body -- Part II. Relation of canonical Poisson and Lie-Poisson structures