Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-08-11
Mon.Not.Roy.Astron.Soc.337:225,2002
Astronomy and Astrophysics
Astrophysics
Scientific paper
10.1046/j.1365-8711.2002.05906.x
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 $r^{-1/2}$ 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.
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