Probability distributions of asteroid orbital elements

Details Probability distributions of asteroid orbital elements Probability distributions of asteroid orbital elements

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..641z&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, May-June 1979, p. 641-651. In Russian.

Mathematics

Probability

Asteroids, Orbital Elements, Probability Density Functions, Statistical Distributions, Celestial Mechanics, Ecliptic, Histograms, Solar System, Tables (Data), Twenty-Four Hour Orbits

Scientific paper

Probability density distributions are computed for asteroid orbital elements considered as random values in some finite interval. The elements investigated are: the longitude of the ascending node, the longitude of perihelion, the orbital inclination to the ecliptic, the eccentric angle, and the diurnal mean motion. The calculations are performed for 1795 detected asteroids and asteroid groups, which form three zones on the basis of diurnal mean motion. Histograms and graphs of the functions that determine the probability density distributions are plotted, and their characteristic features are indicated. Comparisons with observational data show that the theoretical distributions represent the observed distributions rather well and that the nature of the distributions is stable to certain changes in the statistical data and their grouping.

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