A New Interpretation of Collisions in the N-Body Problem

  • John G. Bryant
Part of the NATO ASI Series book series (NSSB, volume 272)


At the previous meeting in Cortina [1], I showed how it was possible to reformulate the N-Body Problem in such a way that the velocities remain bounded, even at collision, and the motion of particles with zero mass can be described; at the same time the classical properties of planetarty motion are preserved. In this paper we will see how the modified formulation can shed new light on an important aspect of the N-Body Problem, i.e. the behaviour at collision, which can now be interpreted as a process for the emission or absorption of particles, in an essentially classical context.


Black Hole Body Problem Binary Collision Planetary Motion Central Configuration 
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  1. [1]
    Bryant, J. G.: 1988, ‘A Formulaton of the N-Body Problem where the velocities are bounded’, in Long Term Dynamical Behaviour of Natural and Artificial N Body Systems, ed. A. E. Roy, NATO ASI Series, Kluwer.Google Scholar
  2. [2]
    Goldstein, H.: 1980, ‘Classical Mechanics’ (2nd edition), Addison-WesleyGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • John G. Bryant
    • 1
  1. 1.ParisFrance

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