Isodynamic magnetohydrodynamic equilibria

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Abstract
The class of isodynamic magnetohydrodynamic (MHD) equilibria in three dimensions is studied. A reduction of the problem to that of finding a force-free equilibrium is carried out, and the resulting force-free problem transformed, by means of a three-dimensional hodograph technique, to a simple and elegant form. The flux surface equation in a potentially very useful form is split off in a further representation.