ANALYTIC 3-DIMENSIONAL SOLUTIONS OF THE MAGNETOHYDROSTATIC EQUATIONS WITH TWISTED FIELD LINES

Two types of exact solutions of the MHD equilibrium equations are pres ented. The equilibria exhibit neither continuous nor minor symmetry. T he configurations are infinitely extended along a straight axis with s urfaces of constant pressure closed around the axis. The cross section s are elliptic for equilibria of the first type. For the second type t hey are elliptic only close to the axis. Field and current lines turn around the axis and extend from minus to plus infinity in the axial di rection. In these limits the configurations become singular. The rotat ional transform and the local shear are discussed.