| | 15 | |
| | 16 | Where rho is the uniform ambient density, and we are approximating the box as a sphere. Note, when these quantities are in computational units, one converts to mass in cgs, as defined in the BE problem module, by multiplying this equation by Mscale found in scales.data. |
| | 17 | |
| | 18 | By this method, I found the mass in the light ambient medium to be: |
| | 19 | {{{#!latex |
| | 20 | M = {0.0007 * {4 \over 3} \pi ({15.4^3 -1 })} = 10.7 * Mscale = 4.77 * 10^36 g = 2,248 Solar Masses |
| | 21 | |
| | 22 | }}} |
| | 23 | |
| | 24 | That is, Mamb~14Mbe. |
| | 25 | |
| | 26 | Since in the matched case, the density becomes 0.07, Mamb=100*Mamb_light~1,400 Mbe. Or, in astronomical units, Mamb_matched=224,800 Solar Mass! |
| | 27 | |