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Energy Exchange in a Parabolic Three-Body Encounter

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The Few Body Problem

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 140))

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Abstract

For an encounter between a zero eccentricity hard binary and a third star it is possible to construct an analytic solution of the energy exchange between the binary and the star. The solution is valid outside a certain boundary value (so called stability boundary) of the pericentre distance. We derive the analytic expression of the energy exchange by using perturbation theory. Since the theory is not strictly applicable near the stability boundary, we derive the values of unknown coefficients from about 18 000 numerical experiments. At the same time the experiments are used to locate the stability boundary.

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© 1988 Kluwer Academic Publishers

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Valtonen, M., Huang, TY. (1988). Energy Exchange in a Parabolic Three-Body Encounter. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_37

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  • DOI: https://doi.org/10.1007/978-94-009-2917-3_37

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7813-9

  • Online ISBN: 978-94-009-2917-3

  • eBook Packages: Springer Book Archive

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