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The value of the safety factor on the magnetic axis of a finite-betaspheromak is shown to be a function of beta in contrast to what was used in P.M. Bellan, Phys. Plasmas 9, 3050 (2002); this dependence on beta substantiallyreduces the gradient of the safety factor compared to the previous calculation.The method for generating finite-beta spheromak equilibria is extended togenerate equilibria describing toroidal magnetic "bubbles" where thehydrodynamic pressure on the magnetic axis is less than on the toroid surface.This "anti-confinement" configuration can be considered an equilibrium with aninverted beta profile and is relevant to interplanetary magnetic clouds asthese clouds have lower hydrodynamic pressure in their interior than on theirsurface.

Magnetic axis safety factor of finite $\beta$ spheromaks and transition from spheromaks to toroidal magnetic bubbles