COMMUNICATIONS / MITTEILUNGEN

I.K. Csada

The Differential Rotation and the Large-scale Meridional Motion of the Stars

No. 22
Budapest, 1949

Abstract

The present paper contains a discussion on the rotation of the stars considering the meridional currents but neglecting the electromagnetic effects. Assuming that the whole interior of the star is in turbulent state, the author applies the adiabatical equation of state. Differential equations are deduced for the vector potential producting the velocity of the meridional current and differential equations are deduced for rotational velocity and its vorticity. Their approximate solutions are reached by a series of spherical harmonics. As it is shown in the discussion, if we consider hydrodynamical effects only, the velocity of the meridional current is to be given together with the stellar structure. We have to conclude, that after having considered the electromagnetic effects, the velocity of the meridional current can be deduced from the strength of the magnetic-field, respectively from the angular velocity, if we suppose a relation existing between the last two.

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