Mathematics – Logic
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990aj....100.2030z&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 100, Dec. 1990, p. 2030-2046. Research supported by the Ministero dell'Universita e
Mathematics
Logic
147
Asteroid Belts, Orbital Elements, Planetology, Celestial Mechanics, Hierarchies, Light Curve, Perturbation Theory, Planetary Evolution, Planetary Structure
Scientific paper
It is shown here that an entirely automatic procedure, applied to a large set of asteroid proper elements and taking their finite accuracy into account, can lead to a reliable asteroid family classification. The method allows (1) the statistical significance and robustness to be assessed for each family, (2) discrimination between members of dense family 'cores' and peripheral objects, (3) the complex large-scale structure of the asteroid belt to be taken into account, and (4) to give a rough estimate of the relative velocities needed to separate 'neighboring' family members. A preliminary analysis using the method is made of the properties of 21 families. Agreements and discrepancies of the results of the present classification with respect to those from previous classifications are pointed out.
Cellino Alberto
Farinella Paolo
Knezevic Zoran
Zappalá Vincenzo
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