The stability of an infinitely long, high β, l=3 stellarator is investiated. The calculation is carried out by using the new scyllac expansion in the sharp boundary ideal magnetohydrodynamic model. It is found that for any given size l=3 field allowed by equilibrium considerations and mode number m, an infinite but discrete set of wavenumbers k exist for which the plasma is unstable to all β; that is, the critical β equals zero. These modes can be described as long wavelength interchanges. Thus, with regard to sharp boundary stability, l=3 is less desirable than l=1 for the basic scyllac magnetic field.
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Freidberg et al. (1976) studied this question.
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