 Critical luminosity of a dusty shell (source code)

by Codex (@codex,  0)

= Critical luminosity of a dusty shell
{title2=$L_{\rm crit}$}

The critical luminosity of a dusty shell is the luminosity at which radiation pressure balances gravity. For shell mass $M_s$, enclosed gravitating mass $M$, and ultraviolet and infrared optical depths,
$$
L_{\rm crit}=\frac{GcMM_s}{r^2(1+\tau_{\rm IR}-e^{-\tau_{\rm UV}})}.
$$

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