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- \begin{matrix}
- \rho \left( r \right ) = \frac{\dot{M}}{4 \pi v r^2}
- \\
- \tau = \int_r^{\infty} \kappa \rho \left(z \right ) dz = \frac{\kappa \dot{M}}{4 \pi v r}
- \end{matrix}
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