Periodic solutions in a model of pulsar rotation

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

A rotating rigid body with ellipsoidal cavity filled with magnetic fluid is considered as a pulsar model. Dynamical equations for the pulsar model are derived and investigated, certain integrable cases are indicated. Three-parameter sets of periodic solutions integrable in terms of elliptic functions of the time variable are obtained. A formula is derived for the period of rotation and magneto-rotational oscillations of the pulsar.

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