Mathematics – Probability
Scientific paper
Jan 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989aj.....97..222h&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 97, Jan. 1989, p. 222-235.
Mathematics
Probability
5
Binary Stars, Celestial Mechanics, Stellar Evolution, Stellar Mass, Stellar Systems, Computerized Simulation, Impact, Long Term Effects, Orbital Resonances (Celestial Mechanics), Star Clusters, Stellar Orbits
Scientific paper
Over 57,000 close encounters between hard binaries with orbital eccentricities of e(0) = 0, 2/3, and 0.99 and intruders whose masses range from M(i) = 0.001 to 100,000 times the mass M(0) of the binary components were simulated. The probability of an exchange collision in close encounters increases from 0 for M(i)/M(0) less than 0.2 to unity for M(i)/M(0) = 3-70 and gradually drops to about 90 percent for M(i)/M(0) greater than 70. The orbital binding energy increases nearly linearly with M(i)/M(0) for small M(i)/M(0). It saturates at about four times the preencounter value for M(i)/M(0) = 3-100 before increasing monotonically with increasing M(i) to over 60 times its preencounter value for M(i)/M(0) = 100,000. The probability of an orbital resonance peaks sharply at about 95 percent for M(i)/M(0) = 0.55 if e(0) = 0. It is about 40 percent for very small M(i)/M(0) and 5 percent for very large M(i)/M(0).
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