Histogram (panel 1) and cumulative number (panel 2) of KBOs vs. log Δ v _min. This collisional family had a 140 km radius progenitor in the hot classical belt ( a = 42 AU, e = 0.07, i = 19°). The family members were all given a velocity kick relative to the largest remnant of Δ v = v _esc. Note that the family members (solid line) are outnumbered by the background objects (dashed line) at all values of Δ v _min. Panels 3 and 4 show a plot of the orbital element distribution of the synthetic KBO population for all bodies with no magnitude cutoff, including the collisional family. The red "X" indicates the location of the family's largest remnant. Note that the family is discernible to the naked eye in inclination vs. semimajor axis, though this is partly due to our choice of Δ v = v _esc.