The dynamics of a rigid body having an ellipsoidal cavity filled with a magnetic fluid

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cavities, Conducting Fluids, Magnetohydrodynamics, Astrophysics, Ellipsoids, Equations Of Motion, Incompressible Fluids, Neutron Stars, Pulsars, Stellar Magnetic Fields

Scientific paper

Equations of motion are derived for a rigid body having a ellipsidal cavity filled with an ideal incompressible magnetic fluid. The first four integrals of these equations are given, their Hamiltonian structures are investigated, and the integrable cases are determined. The dynamics of a rigid body having a cavity filled with a magnetic fluid is relevant to astrophysical problems encountered in the theory of neutron stars and pulsars.

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