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Close triple approaches and escape in the three-body problem

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Abstract

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 centre 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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Aarseth, S.J., Anosova, J.P., Orlov, V.V. et al. Close triple approaches and escape in the three-body problem. Celestial Mech Dyn Astr 60, 131–137 (1994). https://doi.org/10.1007/BF00693096

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