Mathematics – Probability
Scientific paper
Jul 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mnras.176...63m&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 176, July 1976, p. 63-72.
Mathematics
Probability
42
Angular Momentum, Celestial Mechanics, Statistical Analysis, Three Body Problem, Escape Velocity, Histograms, Integral Equations, Mass Distribution, Particle Mass
Scientific paper
A strongly interacting three-body system generally breaks up into a binary and a single-escaping particle. The statistical properties of the binary and the escaper are determined by making the statistical assumption that the probability of a configuration is proportional to the associated volume of phase space. Only low-angular-momentum cases are considered, and angular-momentum conservation is not taken into account. For plane motion, the theory predicts the statistical properties of the binary very well, but is only in qualitative agreement with the statistical properties of the escaping particle.
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