Mathematics – Probability
Scientific paper
Sep 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.192..809n&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 192, Sept. 1980, p. 809-820.
Mathematics
Probability
2
Binary Stars, Celestial Mechanics, Four Body Problem, Statistical Analysis, Mass Distribution, Probability Density Functions
Scientific paper
A statistical theory based on phase space averaging is used to describe the disruption of bound four-body systems. The dominant final states are assumed to be either two binaries or one binary and two unbound particles. Cut-off parameters are required to render the phase space integrals finite, but they do not have an important effect on the population of a given final state configuration. The relative frequency of the two final states is, however, sensitive to the choice of cut-off. In this paper the mass distributions of the final states are calculated. Other distributions may be easily calculated following the procedure described here.
Monaghan Joseph J.
Nash P. E.
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