At least 10% (3 out of 28) of the largest known impact craters on Eart
h and a similar fraction of all impact structures on Venus are doublet
s (i.e., have a companion crater nearby), formed by the nearly simulta
neous impact of objects of comparable size. Mars also has doublet crat
ers, though the fraction found there is smaller (2%). These craters ar
e too large and too far separated to have been formed by the tidal dis
ruption of an asteroid prior to impact, or from asteroid fragments dis
persed by aerodynamic forces during entry. We propose that some fast r
otating rubble-pile asteroids (e.g., 4769 Castalia), after experiencin
g a close approach with a planet, undergo tidal breakup and split into
multiple co-orbiting fragments. In some cases these fragments evolve
into stable binary systems, which re-encounter and impact the planet d
uring a later pass, creating two distinct craters. To test this idea,
we modeled close encounters between fast-rotating contact-binary aster
oids, our first-order approximation for rubble-pile asteroids, and a c
hosen planet. Our results show that Earth's tidal forces frequently cr
eate binary asteroids, but that the separation distance between the bi
nary's components is almost always too small to produce a doublet crat
er at impact. However, once the components are orbiting one another, s
mall perturbations from repeated distant Earth encounters, along with
mutual tidal forces between the components, frequently increase the se
paration distance between the components in a random-walk fashion. To
model these effects, we combined our numerical model of planetary enco
unters with a Monte Carlo code that computes the frequency and charact
eristics of repeated Earth encounters as well as mutual tidal effects
occurring between Earth encounters. Our results show that similar to 1
5% of all Earth-crossing asteroids evolve into co-orbiting binary aste
roids with well-separated components. Asteroids on solely Mars-crossin
g orbits produce a smaller fraction of binaries (<5%). Folding these r
esults into another model treating impact encounters between binary as
teroids and a chosen planet, we found we could duplicate the observed
fraction of doublet craters found on Earth, Venus, and Mars. Our resul
ts suggest that any search for asteroid satellites should place emphas
is on km-sized Earth-crossing asteroids with short-rotation periods. (
C) 1996 Academic Press, Inc.