Collisional evolution of mass-distribution spectrum of planetesimals

The early growth of planetesimals by mutual direct collisions is numerically simulated with a Monte Carlo technique to show how planetesimals with specific mass and velocity distributions evolve into a full-size planet. Four types of collisions are taken into account: rebound, erosion, catastrophic break-up, and coagulation. It is shown that evolution of mass-distribution spectrum is expressed by an inverse power relation. It is also suggested that whether or not a planetesimal can survive catastrophic collision is primarily dependent on mean relative velocity and mechanical properties of planetesimals. It is necessary for the early growth of rocky (basaltic) materials that mean relative velocity be much smaller than 0.1 km/s. Otherwise it is necessary to introduce something like nucleating agents (such as iron bodies which have plastic properties at temperatures higher than 200 K) for the formation of terrestrial planets.