Modelling of Sunspot Equilibrium Considering Stratification and Temperature Gradients

Basing on the Schluter-Temesvary similarity condition for the magnetic flux in sunspot regions, on experimental horizontal profiles for the absolute value of the magnetic induction, and, for the first time, also on horizontal and vertical hydrodynamic momentum balances, analytical expressions for horizontal and altitudinal dependencies of the magnetic induction and the kinetic pressure of the sunspot plasma are derived.