Statistics – Computation
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phdt........20s&link_type=abstract
Thesis (PHD). UNIVERSITY OF FLORIDA , Source DAI-B 59/06, p. 2805, Dec 1998, 98 pages.
Statistics
Computation
1
Inclined Orbits
Scientific paper
We present here two general techniques to remove observational selection effects from asteroid surveys. When applied to two specific asteroid surveys, these methods have allowed the first computation of the debiased distribution of asteroidal orbital elements and sizes for the first time. The first survey was conducted in 1960. Advances in computing have allowed the data to be re-analyzed using an existing computer program and given a much more rigorous statistical treatment. The survey was confined to the near-ecliptic at opposition, therefore its usefulness is limited with regard to highly inclined orbits. To compensate for this limitation, we conducted our own survey aimed specifically at high-inclination objects. Since these orbits are, in general, distributed differently than lower-inclination orbits, removing observational selection effects required creating a statistical technique using Monte-Carlo type simulations. The results of this work show no evidence for differing slopes of the size-frequency distribution throughout the asteroid belt, from the highly inclined Hungaria-type asteroids in the inner edge of the belt (1.8-2.0 AU), to the outer belt (3-3.5 AU). The slopes of the absolute-magnitude frequency distributions, being less than 0.5, show that the asteroidal size distribution is somewhat shallower than what would be predicted assuming the asteroids to be a collisionally evolved population of bodies with size-independent impact strengths. Also determined are rough numbers of asteroids in the main dynamical families of Eos, Maria, Themis, and Koronis, which comprise a significant fraction of the total number of objects in the main belt. This work has also resulted in the discovery of a new asteroid dynamical family, and possibly two new asteroid groups.
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