Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34...65m&link_type=abstract
(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab
Physics
8
Celestial Mechanics, Escape Velocity, Gravitational Effects, Three Body Problem, Acceleration (Physics), Equations Of Motion, Hill Method, Inequalities, Mass
Scientific paper
Initial conditions of a three-body system under which the inequality r is equal to or less than kR, where k is a suitable constant, r the mutual distance of the two masses of the binary, and R the distance between the center of mass of the binary and the third mass, will remain forever satisfied are studied. Tests of escape corresponding to such initial conditions are developed and their applications are considered. The results represent a major improvement in knowledge of the nature of three-body motions, especially in the vicinity of triple close approaches. The region of bounded motions is found to be much smaller than was generally expected; numerical computations of particular solutions show that the true limit is closely approached.
Marchal Christian
Sun Yi-Sui
Yoshida Jun
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