Mathematics – Probability
Scientific paper
Oct 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56.1054r&link_type=abstract
Astronomicheskii Zhurnal, vol. 56, Sept.-Oct. 1979, p. 1054-1059. In Russian.
Mathematics
Probability
Comets, Orbit Calculation, Perihelions, Probability Theory, Apexes, Astronomical Catalogs, Solar Orbits
Scientific paper
A formula for estimating the probability of comet detection as a function of cometary perihelion position with respect to earth and cometary orbit inclination is obtained, and the reality of the observed concentration of cometary perihelia near the apex and antiapex of the sun is discussed. From an examination of 482 comets in the Marsden catalog with periods greater than 1000 years, the Holletschek relation between detection probability and earth and cometary perihelion longitude is verified, and a dependence of comet numbers on their orbital inclination (greater than or less than 90 deg) is formulated. Examination of the perihelia of the selected comets reveals a higher proportion of comets with perihelia within 90 deg of 270 deg solar longitude (33%) than at any other location, which distribution is not associated with their detection probabilities and is thus not a selection effect. Implications of the reality of the clustering for theories of comet origin are indicated.
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