Stationary Nonaxisymmetric Configurations of Magnetized Singular Isothermal Disks

We construct both aligned and unaligned (logarithmic spiral) stationary configurations of nonaxisymmetric magnetohydrodynamic (MHD) disks from either a full or a partial razor-thin power-law axisymmetric magnetized singular isothermal disk (MSID) that is embedded with a coplanar azimuthal magnetic field $B_{\theta }$ of a non-force-free radial scaling $r^{-1\mathrm{/}2}$ and that rotates differentially with a flat rotation curve of speed $aD$, where $a$ is the isothermal sound speed and $D$ is the dimensionless rotation parameter. Analytical solutions and stability criteria for determining $D^2$ are derived.