Axisymmetric force-free stellar magnetospheres

Astronomy and Astrophysics – Astrophysics

Scientific paper

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A Stars, Magnetohydrodynamics, Peculiar Stars, Stellar Atmospheres, Stellar Magnetospheres, Differential Equations, Force-Free Magnetic Fields, Quadrupoles, Symmetry

Scientific paper

Self-consistent axisymmetric force-free magnetospheres are computed on the assumption that the toroidal component is related to the poloidal flux function through a power law and that the emergent field has both a dipolar and a quadrupolar contribution. It is found that there is a maximum value of the toroidal magnetic field which cannot be exceeded if the magnetosphere is to be force-free, and this maximum value decreases when the quadrupolar contribution to the poloidal magnetic field becomes more important. Simple polynomial expressions are derived for the quantities that describe the variations of the magnetic field components over the stellar surface and these polynomial expressions allow magnetic observations to be modelled with axisymmetric force-free magnetic fields.

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