
\magnification=\magstep1

$$
\tau \quad \sim \quad k \thinspace \left( { { P }\over{M^2} } \right)
$$


$$
|GPE| \quad > \quad KE
$$

$$
{\rm r_{strong}} \quad = \quad {{ 2 G M } \over {{(\Delta v)}^2} }
$$

$$
f \quad = \quad n \ \sigma \ \Delta v
$$

$$
\sigma \quad = \quad \pi ({\rm r_{strong}^2}) \quad = 
         \quad \pi {\left( { {2 G M}\over{(\Delta v)^2} } \right)}^2  \quad \propto \quad M^2
$$

$$
\Delta v \quad \sim \quad {{1}\over{2}} \thinspace \left( {{\Delta a}\over{a} } \right) \thinspace v 
    \quad \propto \quad \left( {{v}\over{a}} \right) 
    \quad \propto \quad {{1}\over{P}}
$$

$$
f \quad \propto \quad n \ (M^2) \ ({{1}\over{P}}) \quad \propto 
        \quad {{M^2}\over{P}}
$$



\bye

