| 27 | | Different wind initial speed, $f(r,v)$ and $g{r,v}$ will give very different $v$ profile. One of these solution is: subsonic initial wind accelerate all the way to the critical point and become supersonic when at very large $r$. $\frac{2a^2}{r_0}-\frac{GM}{r_0^2}+f'(r_0,v_0)>0$ and $(1-g'(r_0,v_0))v_0^2-a^2>0$ |
| | 27 | Different wind initial speed, $f(r,v)$ and $g(r,v)$ will give very different $v$ profile. One solution of interest is: subsonic initial wind accelerate all the way to the critical point and become supersonic when at very large $r$ with $\frac{2a^2}{r_0}-\frac{GM}{r_0^2}+f'(r_0,v_0)>0$ and $(1-g'(r_0,v_0))v_0^2-a^2>0$ |
