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Part of the book series: NATO ASI Series ((NSSB,volume 272))

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Abstract

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.

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References

  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.

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  2. Goldstein, H.: 1980, ‘Classical Mechanics’ (2nd edition), Addison-Wesley

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© 1991 Plenum Press, New York

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Bryant, J.G. (1991). A New Interpretation of Collisions in the N-Body Problem. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_44

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_44

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5999-9

  • Online ISBN: 978-1-4684-5997-5

  • eBook Packages: Springer Book Archive

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