\magnification=\magstep1

$$
T = { \left( {{L_*}\over{16 \pi a^2 \sigma}} \right) }^{1/4}
$$

$$
t_{ff} \quad = \quad \left( {{3 \pi}\over{32}} \thinspace {{1}\over{G \rho_0}}
                         \right)^{1/2}
$$

$$
L_{ff} \quad \sim \quad {{\Delta GPE}\over{t_{ff}}} \quad = \quad 
          {  { {{3}\over{5}} {{G M^2}\over{R}} }\over{t_{ff}} }
$$



\bye

