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ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337
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Hamiltonian Dynamics of the Symmetric Top in External Axially-Symmetric Fields. Magnetic Retention of a Rigid Body
ABSTRAKT
The new approach of the study of the dynamic stability of magnetic bodies in external axially-symmetric magnetic fields is proposed. The Hamiltonian describing a wide class of mathematical models of a symmetric top interacting with external axially-symmetric fields and the homogeneous field of gravity force is considered. The method is used for a number of known and new mathematical models.
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Zub S.S., Zub S.I., Hamiltonian dynamics of a symmetric top in external fields having axial symmetry. Levitating orbitron, Cornell University, 2015, arXiv:1502.04674, https://arxiv.org/abs/ 1502.04674.
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Ruiz Adrián, Basquerotto Cláudio H. C. Costa, Reduced motion equations of an axisymmetric body spinning on a horizontal surface via Lie symmetries, Acta Mechanica, 233, 9, 2022. Crossref