The oblique rotator

Statistics – Computation

Scientific paper

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Main Sequence Stars, Stellar Magnetic Fields, Stellar Models, Stellar Rotation, Computational Astrophysics, Obliqueness, Perturbation Theory, Spherical Harmonics, Steady State

Scientific paper

Two models are presented for rotating upper main sequence stars in strict radiative equilibrium and possessing a magnetic field which is not axisymmetric with respect to the rotation axis of the star. One of the models involves the parameter chi which is the angle between the rotation axis and the symmetry axis of an inclined poloidal magnetic field. For chi less than 55 deg the results are analogous to the results found for the aligned models (chi = 0 deg) which have been reported previously in the literature. For chi greater than 55 deg the models exhibit the behavior of the perpendicular rotator (chi = 90 deg) with the surface field increasing with increasing rotation rate; though as for the case of the perpendicular models the more general oblique models with chi greater than 55 deg fail to converge for rotation speeds and fields relevant to the magnetic stars. The second model involves a certain level of truncation in the infinite series representation of a general magnetic field. This model is discussed in terms of the simple oblique dipolar model.

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