Histogram (panel 1) and cumulative number (panel 2) of KBOs vs. log Δ v _min. This collisional family had a 500 km radius progenitor in the hot classical belt ( a = 44 AU, e = 0.15, i = 15°). 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 central region of the family is lost against the background population.