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The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett–London Effect
Doklady Physics ( IF 0.6 ) Pub Date : 2020-07-14 , DOI: 10.1134/s1028335820030052
A. V. Borisov , A. V. Tsiganov

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.


中文翻译:

非完整的Chaplygin球在磁场中的运动,Grioli问题和Barnett-London效应

摘要

在本文中,我们假设非完整的Chaplygin球在恒定磁场中在平面上的运动,前提是该球具有介电和铁磁特性。由于在恒定磁场中对称刚体绕固定点运动的问题,我们还通过VV Kozlov对可积情况进行了概括,并提出了这种运动的新的特殊可积情况。
更新日期:2020-07-14
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