Hydromagnetic Stability of Toroidal Equilibria with an Externally Imposed Rotational Transform

Abstract

An expansion technique is employed to study the stability condition for toroidal hydromagnetic configurations in which the curvature of the system, the rotational transform per unit length, and the pressure which is contained in the system can be treated as small. The most general condition which is necessary for stability with respect to localized perturbations is obtained as a ratio of two infinite determinants.