We use a smooth particle hydrodynamics method to simulate colliding rocky a
nd icy bodies from centimeter scale to hundreds of kilometers in diameter i
n an effort to define self-consistently the threshold for catastrophic disr
uption. Unlike previous efforts, this analysis incorporates the combined ef
fects of material strength (using a brittle fragmentation model) and self-g
ravitation, thereby providing results in the "strength regime" and the "gra
vity regime," and in between. In each case, the structural properties of th
e largest remnant are examined.
Our main result is that gravity plays a dominant role in determining the ou
tcome of collisions even involving relatively small targets. In the size ra
nge considered here, the enhanced role of gravity is not due to fracture pr
evention by gravitational compression, but rather to the difficulty of the
fragments to escape their mutual gravitational attraction. Owing to the low
efficiency of momentum transfer in collisions, the velocity of larger frag
ments tends to be small, and more energetic collisions are needed to disper
se them.
We find that the weakest bodies in the Solar System, as far as impact disru
ption is concerned, are about 300 m in diameter. Beyond this size, objects
become more difficult to disperse even though they are still easily shatter
ed. Thus, larger remnants of collisions involving targets larger than about
1 km in radius should essentially be self-gravitating aggregates of smalle
r fragments. (C) 1999 Academic Press.