Three-dimensional magnetized and rotating hot plasma equilibrium and stability in a gravitational field

Paper in proceeding, 2015

We present analytic solutions for three-dimensional magnetized axisymmetric equilibria confining rotating hot plasma in a gravitational field. Our solution to the full Grad-Shafranov equation can exhibit strong equatorial plane localization of the plasma density and current, resulting in disk equilibria for the plasma density. Unlike in [P.J. Catto et al, 2015, J. Plasma Physics 81, 105810301], we find a toriodal magnetic field is necessary to find a equilibrium in the presence of gravity for most cases of interest. We expect our results to provide impetus to re-investigate magneto-rotational stability.