Abstract
In this paper, we consider the motion of a nonholonomic Chaplygin sphere on a plane in a constant magnetic field under the assumption that the sphere has dielectric and ferromagnetic properties. We also obtain a generalization of the integrable case thanks to V.V. Kozlov in the problem of the motion of a symmetric rigid body about a fixed point in a constant magnetic field and present a new particular integrable case of such motion.
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Funding
This study was supported by the Russian Science Foundation, project no. 19-71-30012.
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Borisov, A.V., Tsiganov, A.V. The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett–London Effect. Dokl. Phys. 65, 90–93 (2020). https://doi.org/10.1134/S1028335820030052
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DOI: https://doi.org/10.1134/S1028335820030052