A sample of over 12,487 asteroid proper element triplets, computed by
A. Milani and Z. Knezevic (1994, Icarus 107, 219-254), has been search
ed for statistically significant and robust families by both the hiera
rchical clustering (HCM) and the wavelet analysis (WAM) automated tech
niques. The current sample includes almost 8000 unnumbered objects wit
h relatively well-determined orbits, which allow us to extend the prev
ious family classifications to much smaller asteroid sizes. With both
clustering methods about one-third of the whole asteroid population is
found to belong to groupings of varying significance and robustness.
Nearly all the families identified in previous searches by Ph. Bendjoy
a (1993, Astron. Astrophys. Suppl. Ser. 102, 25-55) and V. Zappala et
al. (1994, Astron. J. 107, 772-801) are confirmed. Many more groupings
are now recognized having a small number of members and/or a large pe
rcentage of unnumbered ones, particularly when the WAM technique is ap
plied to asteroids located in the middle region of the main belt, betw
een the 3:1 and the 5:2 Kirkwood gaps. Most of these new small familie
s appear to derive from the (possibly recent) break-up of small parent
asteroids, <50 km across. Some are very compact, suggesting ejection
speeds not much in excess of the parent's escape velocity. Some fairly
populous families can be readily interpreted as the outcome of giant
cratering events, including those associated with (4) Vesta and (10) H
ygiea. Others (e.g., Meliboea in the outer belt) are so depleted in sm
all members that probably an old age is implied. Several populous fami
lies, and in particular those named ''clans'' (e.g., Eunomia, Vesta, N
ysa), show a complex and size-dependent internal structure, suggesting
a complex collisional history (i.e., multiple successive disruptive e
vents). A problem with family searches applied to very numerous astero
id samples, such as the current one, is that neighboring, physically d
istinct groupings often partially overlap each other, and thus merge a
ccording to the clustering techniques. (C) 1995 Academic Press, Inc.