Mathematics – Probability
Scientific paper
Jun 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996dps....28.1005c&link_type=abstract
American Astronomical Society, DPS meeting #28, #10.05; Bulletin of the American Astronomical Society, Vol. 28, p.1096
Mathematics
Probability
2
Scientific paper
Recent analyses of the size distribution of dynamical families indicate that the overall inventory of asteroids in the main belt is dominated by family members at small sizes. This fact is a consequence of the fact that typical exponents of the cumulative size distributions for asteroid families are of the order of -3, far steeper than typical values for the non-family population. It is clear that such exponent values cannot hold down to null sizes, since this would imply an infinite mass of the reconstructed parent bodies. However, even admitting that the size distribution exponents of families must change at some value of size, this does not contradict the fact that families dominate the asteroid population at least in a range between about 5 and 10 km. In turn, this fact has deep implications for the collision probability in different regions of the belt, and must be taken into account in the future studies aimed at modelling the overall collisional evolution of the belt.
Cellino Alberto
Migliorini Fabbio
Zappala Vincent
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