Spherical Magnetic Vortex in a Uniform Gravity Field: A New Exact Solution and Its Applications for Modeling Solar Flares and Coronal Spiders

The well-known Chandrasekhar-Prendergast magnetostatic solution for a spherical magnetic vortex with axial symmetry squeezed externally by a potential magnetic field is of considerable interest both for describing the magnetic field of a star as a whole and for modeling solar active phenomena (flares, coronal spiders, etc.). This solution is generalized to the case of a uniform gravity field. In contrast to the Chandrasekhar-Prendergast model, the dependence of the plasma density in the spherical vortex on magnetic flux appears in the new solution. This expands considerably the class of magnetoplasma equilibria being analyzed and allows new scenarios for energy release in solar flares and coronal spiders to be proposed.