Abstract
AbstractThe main influences on crater size distributions are investigated by deriving results for the four example target objects, (951) Gaspra, (243) Ida, (253) Mathilde and (433) Eros. The dynamical history of each of these asteroids is modelled using the mercury numerical integrator. An efficient, Opik-type, collision code enables the distribution of impact velocities and the overall impact probability to be found. When combined with a crater scaling law and an impactor size distribution, using a Monte Carlo method, this yields a crater size distribution. The cratering time-scale is longer for Ida than either Gaspra or Mathilde, though it is harder to constrain for Eros due to the chaotic variation of its orbital elements. The slopes of the crater size distribution are in accord with observations.
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