Perturbations of a plasma torus which are independent of azimuth are not covered by the general theory. A method for treating these special modes is presented, uniqueness theorems proved, and a rapidly converging numerical scheme for computation is given. It is also shown that these modes have the same behavior in a torus of infinite aspect ratio as do the corresponding ones in a cylinder; therefore the infinitely thin torus is stable against these modes.
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Lüst et al. (1962) studied this question.
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