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

S.S. Zub

¹Zub, SS

¹H. S. Skovoroda Kharkiv National Pedagogical University

Dopov. Nac. akad. nauk Ukr. 2018, 9:12-20

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:

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.