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Close triple approaches and escape in the three-body problem
Authors:S J Aarseth  J P Anosova  V V Orlov  V G Szebehely
Institution:(1) Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA Cambridge, England;(2) Astronomical Institute, St. Petersburg University, Bibliotechnaya pl. 2, 198904 St. Petersburg, Peterhof, Russia;(3) Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, 78712-1085 Austin, Texas, U.S.A.
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 lsquofly-byrsquo 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.
Keywords:Three-body problem  computer simulations  close triple approach  escape
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