New classes of particular solutions to one problem on gyrostat motion

DOI10.35634/vm220209OpenAlexW4291291723MaRDI QIDQ5040989

T. V. Khomyak, Aleksandr Vasil'Evich Zyza, Elena Sergeevna Platonova

Publication date: 18 October 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu812

zbMATH Keywords

fixed pointmagnetic fieldpolynomial solutionhyperelliptic integralBarnett-London effectinvariance relationKirchhoff-Poisson equations

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05) General topics in optics and electromagnetic theory (78A99)

Cites Work

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• Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
• On generalized N. Kovalevski equations in two problems of rigid body dynamics

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