Dynamics of a plasma ring rotating in the magnetic field of a central body: Magneto-gravitational waves

Mathematics

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Scientific paper

The model problem of the dynamics of a planar plasma ring rotating in the dipole magnetic field of a central body is considered. A finite-dimensional mathematical model of the system is synthesized by the Boubnov-Galerkin method. The class of solutions corresponding to magneto-gravitational waves associated with deformations of the ring boundaries is investigated.

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