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Daniel D'Orazio edited untitled.tex
over 8 years ago
Commit id: e2e9e953cbb81fa4f8677749a47446f7537e80e8
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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 $v_K=\sqrt{GM/r}$, then we have an expression for the Mach number in terms of disk sound speed for hydrostatic equilibrium in
teh the vertical direction,
\begin{equation}
\mathcal{M} = \frac{H}{r} = \frac{v_K}{c^{\rm{iso}}_s}
\end{equation}