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

2015/12/05 by С. Зуб, Stanislav S. Zub, Zub, Stanislav S. +2
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical Physics (physics.class-ph) #FOS: Physical sciences #physics.class-ph

paper · pdf · doi:10.48550/arxiv.1512.01703

arxiv created 2015/12/05 · openalex publication_date 2015/12/05 · arxiv updated 2015/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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