177 | | Solving these two equations gives: |
178 | | |
179 | | [[latex($h=$)]] |
180 | | |
181 | | [[latex($l=$)]] |
182 | | |
| 181 | Solving these equations equations gives: |
| 182 | |
| 183 | [[latex($h=l=.0068 ~pc$)]] |
| 184 | |
| 185 | ''' So a (uniform density) core that contains a solar mass, has to be .0068 to be optically thick. That is an interesting result. ''' |
| 186 | |
| 187 | Recalculating the sims parameters, and diffusion time, gives: |
| 188 | |
| 189 | || [[latex($\lambda$)]] || .3 || |
| 190 | || l = h = r (box radius)|| .0068 (pc) = 2.1e+16 (cm)|| |
| 191 | || [[latex($\rho$)]] || 2.69*10^-17^ (g cm^-3^) || |
| 192 | || [[latex($\kappa_R$)]] || 2.3 (cm^2^ g^-1^) || |
| 193 | |
| 194 | |
| 195 | [[latex($t_{diff}\approx \frac{L^2}{c}\frac{\kappa_R \rho}{\lambda}$)]] |
| 196 | |
| 197 | [[latex($t_{diff}\approx $)]] |