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<b>Theory of Perturbed Equilibria for Solving the Grad-Shafranov Equation</b>

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Authors: L.E. Zakharov and A. Pletzer

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<b>Date:</B> July 14, 1999</p>

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<b>Submitted:</B> Plasma of Physics</p>

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The theory of perturbed magnetohydrodynamic equilibria is presented for different formulations of the tokamak equilibrium problem. For numerical codes, it gives an explicit Newton scheme for solving the Grad-Shafranov equation subject to different constraints. The problem of stability of axisymmetric modes is shown to be a particular case of the equilibrium perturbation theory.

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