Capture It!

Consider a potential defined by $V(r) = -\frac{C}{R^3}$

Let us assume a particle coming in from infinity at a speed $v_{0}$ and impact parameter $b$ . If $b_{max}$ , in terms of $C, v_{0}$ and $m$ is $\large \frac{a^\alpha . c^\beta}{m^\gamma .v_{0}^ \delta}$

Then submit $\large 6\alpha + \frac{a}{3} + 3( \gamma+\beta )+ \frac{3}{2}\delta$