MAGNETIC-SURFACES AND FLUX COORDINATES FOR OMNOGENOUS OPEN CONFINEMENT SYSTEMS

A possibility of a plasma equilibrium with a high-beta parameter is on e of the important advantages of an open confinement systems with a st raight axis. ''Orthogonal'' systems with magnetic surfaces, passing th rough magnetic vectors B and [B del B-2] are of special interest. In t his case, a condition of MHD plasma stability, usually characterized b y a refusal from the axial symmetry, can be provided without forming t he secondary currents, flowing along the magnetic lines of force. To c onsider the influence of a high-beta parameter on a magnetic configura tion, as well as on the orthogonality conservation condition, one has to develop treatments for numerical simulation of a plasma equilibrium in open magnetic systems, having principally anysotropic pressure. In this work, information required to solve this problem is given. Flux magnetic coordinates based on the definition of equilibrium magnetic s urface are introduced. A relation between the orthogonality condition for open systems and a quasi-symmetry condition for closed toroidal sy stems is found, using a requirement for the existence of integral equa tions for drift motion of charged particles. Algorithms of numerical s olutions of equilibrium equations for a plasma with anysotropic pressu re and high-beta are suggested.