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Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions
Author(s) -
Bogoyavlensky O. I.
Publication year - 1985
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113060109
Subject(s) - pulsar , physics , integrable system , rotation (mathematics) , rotation period , exact solutions in general relativity , stellar rotation , rotation number , binary pulsar , magnetohydrodynamics , classical mechanics , elliptic function , angular velocity , astrophysics , magnetic field , mathematical analysis , mathematical physics , millisecond pulsar , quantum mechanics , rotational speed , stars , geometry , mathematics
A rotaing rigid body with elipsoidal 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 solution 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.