We have constructed an improved statistical method for the calculation of p
lanetary accumulation using the currently standard model of terrestrial pla
net formation and using the latest results of planetary dynamical theory, T
he method is applicable for the range of masses in which velocity changes a
re dominated by gravitational forces, mutual collisions, and gas drag. Calc
ulations are reported both with and without nebular gas. This method has be
en compared with N-body simulations, and the results of the two calculation
s are in agreement, As in earlier calculations, the growth of bodies in thi
s mass range and at 1 AU occurs on a similar to 10(5) year time scale and i
s characterized by the evolution of an initially continuous mass distributi
on into a bimodal distribution, the high mass end of which consists of runa
way bodies in the size range of similar to 10(26) g, In this general way, t
hese results are in agreement with those reported earlier (e.g., Wetherill
and Stewart 1993, Icarus 106, 190-209), but significant differences are als
o found as a result of the greater precision of the collision rate and the
velocity evolution rate of planetesimals used in the present work. (C) 2001
Academic Press.