Mathematics – Probability
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984avest..17..175b&link_type=abstract
(Astronomicheskii Vestnik, vol. 17, July-Sept. 1983, p. 175-182) Solar System Research (ISSN 0038-0946), vol. 17, no. 3, Jan. 19
Mathematics
Probability
Astronomical Models, Meteorite Collisions, Orbital Elements, Solar Orbits, Earth Orbits, Opik Theory, Probability Theory, Singularity (Mathematics)
Scientific paper
In the framework of analyzing meteor observations, probability equations and singularities, the derivation of the encounter probability for the two-dimensional problem, and the solution of the problem for conditions close to touching of the orbits were discussed. It was recommended that equations representing the probability of an encounter between a meteoric body and the earth be used only as a first approximation, and it was found advantageous to determine the probability of an encounter between a meteor particle and a small area, which corresponded to the area included by the receiving apparatus (e.g., camera or antenna). Examples were presented of condition breakdowns in probability equations containing singularities, and the equation for the probability of the two-dimensional problem was derived without replacing the torus (described by the earth's sphere of capture) by a cylinder segment.
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