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\end{equation}  \begin{equation}  \int{\frac{dP}{\rho}} = (c^{\rm{iso}}_{s})^2 \ln{\frac{\rho}{\rho_0}} \quad \rm{Isothermal} \ \rm{Flow}  \end{equation} \section{Hydrostatic Balance}  In a thin accretion disk around a point mass of mass $M$, hydrostatic balance gives  \begin{equation}  \frac{\partial P}{\partial z} = \rho \frac{GMz}{\left( r^2 + z^2 \right)^{3/2}}  \end{equation}  or when the disk scale height is much smaller than the disk radius, $H \ll r$