 Critical luminosity of a dusty shell

ID: critical-luminosity-of-a-dusty-shell

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

L_{crit} = \frac{G c M M _{s}}{r ^{2} ( 1 + τ _{IR} - e ^{- τ_{UV}} )} .

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