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v11	v12
15	15	$R_d=\sqrt{\frac{\alpha L \exp{(-\tau)}}{4 \pi \sigma T_{sub}^{4}}}$
16	16
17		Where $\tau=\int_~~rphotosphere^rmax~~ \rho\kappa_{gas}dr$ is first calculated by assuming that there is only gas in the simulation. When the $R_d$ is determined, I update the opacity where there is dust. The dust opacity is $8cm^{2}/g$
	17	Where $\tau=\int_{rphotosphere}^{rmax} \rho\kappa_{gas}dr$ is first calculated by assuming that there is only gas in the simulation. When the $R_d$ is determined, I update the opacity where there is dust. The dust opacity is $8cm^{2}/g$