Other
Scientific paper
Oct 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007dps....39.5010c&link_type=abstract
American Astronomical Society, DPS meeting #39, #50.10; Bulletin of the American Astronomical Society, Vol. 39, p.513
Other
Scientific paper
Since the work of Hirayama (1918) asteroid families are identified as clusters in the space of proper semi-major axis a, eccentricity e, and inclination i. Zappalá et al. (1990) first introduced the hierarchical clustering method (HCM hereafter) to identify neighbors in the space of proper elements. This method has been successfully used by several authors to identify asteroids families and clumps. A problem with this approach is that in the a-e-sin(i) space secular resonances have a complicated three-dimensional structure, that is not easily represented in a plane projection. As a consequence, the classical Zappalá approach in some cases fails to identify objects that migrated in such resonances because of the Yarkovsky effect as family members. We believe these problems may be overcome if we analyze asteroid families in the space of proper secular frequencies n,g,s. The structure of secular resonances is more easily represented in the proper g,g+s plane, where secular resonances appear as vertical (resonances of pericenter), horizontal (main harmonic of the resonances of pericenter and node), and inclined lines (resonances of node and other linear combinations of node and pericenter), forming the so-called Arnold web of resonances. We applied the HCM method in this space to identify four of the largest asteroid families: Vesta, Eunomia, Eos, and Koronis and we compared our results with those obtained with the classical method. In addition, we applied the extended metrics in the space of asteroid colors of Bus and Binzel (2002) in both proper elements and frequencies spaces. The frequency approach to family determination is an excellent tool to i) more easily identify the effect of nonlinear secular resonances on families and ii) connect objects that migrated via the interplay of the Yarkovsky effect and nonlinear secular resonances to the family that originated them.
Carruba Valerio
Michtchenko Tatiana
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