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A new solution of the motion equations for a rigid body in the magnetic field. (Russian) Zbl 1119.70305

The problem of motion of a rigid body having a fixed point is considered in the magnetic field with regard for the Barnett-London effect. A particular solution, defined by three invariant relations of the motion equations, is obtained in the paper. Such a solution is characterized by the property that the components of the vector are polynomials of the second degree with respect to coordinates of the vertical in the moving frame.
Reviewer: A. L. Zuyev

MSC:

70E17 Motion of a rigid body with a fixed point
70E40 Integrable cases of motion in rigid body dynamics