In this chapter first the statistics of the standard and truncated Pareto distributions are derived and used to fit empirical values of asteroids diameters from different families, namely, Koronis, Eos and Themis, and from the Astorb database. A theoretical analysis is then carried out and two possible physical mechanisms are suggested that account for Pareto tails in distributions of asteroids diameter.
@article{arxiv.1210.0716,
title = {Asteroids dimensions and the Truncated Pareto distribution},
author = {L. Zaninetti and M. Ferraro},
journal= {arXiv preprint arXiv:1210.0716},
year = {2012}
}
Comments
11 Pages and 6 figures. arXiv admin note: substantial text overlap with arXiv:0804.0308