On the problem of stellar rotation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Angular Momentum, Stellar Rotation, Axisymmetric Flow, Magnetohydrodynamic Stability, Magnetohydrostatics, Meridional Flow, Stellar Models, Zonal Flow (Meteorology)

Scientific paper

It is shown that initially steady Eddington-Sweet circulations in rotating stars change into a time dependent state within a period of rotation. Arguments are given in support of the thesis that a star relaxes into a state of purely zonal flow on the Eddington-Sweet time scale provided that such a state is stable. Constraints on the redistribution of angular momentum by axisymmetric motions are derived, and their importance in determining the asymptotic steady solution is emphasized. A simple model of rotating stars is presented which exhibits the necessary degree of freedom for the accommodation of general initial distributions of angular momentum.

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