Mathematical models of a symmetric top dynamics in the external fields with axial symmetry

1Zub, SS
1H. S. Skovoroda Kharkiv National Pedagogical University
Dopov. Nac. akad. nauk Ukr. 2018, 9:12-20
https://doi.org/10.15407/dopovidi2018.09.012
Section: Information Science and Cybernetics
Language: Russian
Abstract: 

The article describes a new approach to the investigation of the dynamic stability of magnetic bodies in an axially symmetric magnetic field. We consider a Hamiltonian for a broad class of models with a symmetric top that interacts with external axially symmetric fields. Necessary and sufficient conditions of the dynamic equilibrium for a new class of models with a symmetric top are found. Motion equations in the form that is convenient for the numerical simulation are obtained.

Keywords: dynamical systems, mathematical models, motion equations, stability, symmetric top
References: 
  1. Zub, S. I., Zub, S. S., Lyashko, V. S., Lyashko, N. I. & Lyashko, S. I. (2017). Mathematical model of interaction of a symmetric top with an axially symmetric external field. Cybernetics and Systems Analysis, 53, Iss. 3, pp. 333-345. doi: https://doi.org/10.1007/s10559-017-9933-7