Size distribution of collisionally evolved asteroidal populations - Analytical solution for self-similar collision cascades

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asteroids, Meteorite Collisions, Size Distribution, Planetary Mass, Planetary Craters, Fragments, Poynting-Robertson Effect, Mass Distribution

Scientific paper

An analytical solution is obtained for the steady-state size distribution of a self-similar collisional fragmentation cascade. The solution yields a power law for the differential mass distribution with an exponent very close to 11/6, which is consistent with the earlier conclusion of Dohnanyi (1969). The work of Dohnanyi is extended to include a full treatment of the simultaneous occurrence of cratering and catastrophic fragmentation.

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