The three-body problem near triple collision

Details The three-body problem near triple collision The three-body problem near triple collision

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..287w&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani

Other

14

Gravitational Effects, Particle Collisions, Three Body Problem, Asymptotic Methods, Boundary Value Problems, Euler-Lagrange Equation, Linearization, Matching, Particle Interactions

Scientific paper

The behavior of three gravitationally interacting particles in a plane, which approach each other almost on a central configuration, is studied. Linearization near a Lagrangian solution and matching methods lead to the following results: (1) after a close triple encounter in the planar problem of three bodies, one particle generally escapes with an arbitrarily large asymptotic velocity; and (2) particular cases of actual triple collisions may be extended by the method of Easton (1971).

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