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Daniel D'Orazio edited untitled.tex
over 9 years ago
Commit id: 9831d41d13be109d0634c391bee53f54720232e3
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\begin{equation}
\frac{P}{H} = \rho \frac{GMH}{r^{3}}.
\end{equation}
If we define the disk Mach number as the ratio of the isothermal sound speed to the keplerian orbital velocity
$v_K=sqrt{GM/r}$, $v_K=\sqrt{GM/r}$, then we have an expression for the Mach number in terms of disk sound
speed, speed for hydrostatic equilibrium in teh vertical direction,
\begin{equation}
\mathcal{M} =
\frac{H}{r} = \frac{v_K}{c^{\rm{iso}}_s}
\end{equation}