Table 2: Numbers of big impulses ( $n_{\rm big}$) and of those that take an interaction time larger than 5000 yr ( $n_{\rm slow}$). The ratio of the latter to the former is $f_{\rm slow}$. The impulse limit ${\cal I}_{\rm lim}$denotes the ratio $\vert\Delta\vec{v}\vert_{\min}/v_{\rm ref}$. The experiment in each case involves $1\times 10^7$ random encounters.
a. ${\cal I}_{\rm lim}=1.0$
$r_{\rm s}$ (AU) $n_{\rm big}$ $n_{\rm slow}$ $f_{\rm slow}$
100 72 1 1.4%
200 122 1 0.8%
500 275 10 3.6%
1000 400 17 4.3%
b. ${\cal I}_{\rm lim}=0.1$
$r_{\rm s}$ (AU) $n_{\rm big}$ $n_{\rm slow}$ $f_{\rm slow}$
100 718 17 2.4%
200 1454 29 2.0%
500 3367 132 3.9%
1000 6952 426 6.1%


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