Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000dps....32.0813c&link_type=abstract
American Astronomical Society, DPS Meeting #32, #08.13; Bulletin of the American Astronomical Society, Vol. 32, p.1004
Astronomy and Astrophysics
Astronomy
Scientific paper
Dohnanyi's theory predicts that a collisional system such as the asteroid population of the main belt should rapidly relax to a power--law stationary size distribution of the kind N(m) m-α , with α very close to 11/6, provided all the collisional response parameters are independent on size. The actual asteroid belt distribution at observable sizes, instead, does not exhibit such a simple fractal size distribution. We investigate the possibility that the actual stationary cumulative distribution of the main asteroid belt at observable sizes --- that substantially deviates from a power--law distribution --- may be instead fairly fitted by multinomial distributions. This multinomial behaviour, which is in contrast with the Dohnany stationary distribution, is related to the release of the hypothesis of self--similarity, mainly due to the increasing effect of self--gravity in collisional processes involving km--size objects in the real asteroid belt population. The present research has been carried on by A.Campo Bagatin thanks to an European Space Agency postdoctoral fellowship.
Campo Bagatin Adriano
Martinez Vicent J.
Paredes Silvestre
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