Observational Selection and Statistics of Asteroids
Abstract
The central problem of the statistics of asteroids is formulated as the determination of the true 6fold frequency function of five osculating elements and the mean opposition magnitude from the observed frequency function of those parameters. Since the rate of increase in the known number of asteroids with a given set of parameter values is the product of the number of such asteroids still available for discovery and the probability (s) of observing such an asteroid in unit time, one integration step yields a simple expression for the true frequency function as a function of s. Selection mechanisms in the case of the numbered asteroids are discussed, and their relation to s is examined.
 Publication:

IAU Colloq. 22: Asteroids, Comets, Meteoric Matter
 Pub Date:
 1974
 Bibcode:
 1974acmm.book...35K
 Keywords:

 Asteroids;
 Orbital Elements;
 Statistical Analysis;
 Astronomical Models;
 Mathematical Models;
 Poisson Density Functions;
 Probability Theory;
 Astronomy