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Analytic toroidal equilibria of the Elmo Bumpy Torus configuration are calculated by means of an asymptotic expansion in the amplitude of the bumpiness. Equilibria containing a magnetic well are found where β is smaller than that in a high-β stellarator but comparable to or higher than that in a high-β tokamak or conventional stellarator. It is shown that the plasma shifts inward in a torus and that the magnetic well exists even if the mirror ratio is small and the aspect ratio is infinite.
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J. P. Freidberg (1980) studied this question.
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