this is for holding javascript data
Daniel D'Orazio edited untitled.tex
over 9 years ago
Commit id: 30161a047d049441c6c7721a588a091b1659a558
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\end{equation}
or when the disk scale height is much smaller than the disk radius, $H \ll r$,
\begin{equation}
\frac{P}{H} = \rho
\frac{GMH}{r^{3}} \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 $v_K=sqrt{GM/r}$, then we have an expression for the Mach number in terms of disk sound speed,
\begin{equation}
\mathcal{M} = \frac{v_K}{c^{\rm{iso}_s}
\end{equation}