Other
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010dps....42.3929m&link_type=abstract
American Astronomical Society, DPS meeting #42, #39.29; Bulletin of the American Astronomical Society, Vol. 42, p.1037
Other
Scientific paper
Significant theoretical progress has been made in recent years in modeling the history of the main asteroid belt. In particular, the size-frequency distributions of individual collisions (as a function of impact properties) and the collisional rate (as a function of target size) have been computed.
In this work we test these results against observations of asteroids between the J5/2 and J7/3 mean motion resonances. We select this particular zone because 1) the asteroid density is low enough that the extent and membership of all families may be determined unambiguously, 2) the boundary resonances isolate it from families in other zones, and 3) other resonances within the zone have had relatively little effect on the orbits of its families.
In particular, we computed synthetic proper elements for 16,111 multiopposition asteroids. We used proper a, e, i and absolute magnitude to identify membership in 19 collisional families. For two of these_the Karin and Koronis clusters_we also used proper longitudes of node and perihelion. The absolute magnitude is important for excluding large interlopers when a Yarkovsky signature clearly identifies them as such. For example, (293) Brasilia is probably not a member of the family previously identified as the Brasilia family. We corrected size-frequency distribution (SFDs) using the local background rates. Finally, we inferred collisional ages (or limits) from evidence of Yarkovsky broadening of the distribution in a.
We will present and discuss the empirical collision rate function implied by our results and the SFDs of the families and of the background asteroids. We will also present and discuss the average Sloan Digital Sky Survey colors for each family.
This work was funded by a Kuiper endowment and a Calvin Research Fellowship.
McKay C. L.
Molnar Lawrence A.
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