Close triple approaches and escape in the three-body problem

Details Close triple approaches and escape in the three-body problem Close triple approaches and escape in the three-body problem

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..131a&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 131-137

Mathematics

Dynamical Systems

9

Approach, Escape Velocity, Orbital Mechanics, Three Body Problem, Trajectory Analysis, Center Of Mass, Computerized Simulation, Dynamical Systems

Scientific paper

We have studied a total of 5000 close triple approaches resulting in escape, for equal-mass systems with zero initial velocities. Escape is shown to take place in the majority of the cases after a 'fly-by' close triple approach when the escaper passes near the center of mass along an almost straight-line orbit. A number of configurational and kinematical parameters are introduced in order to characterize the triple approach. The distributions of these parameters are investigated. A comparison with 831 examples in the vicinity of the so-called Pythagorean problem is carried out. We find that the general features of close triple approaches which result in escape are the same for both types of systems.

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