Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution

Viraj Manwadkar*, Alessandro A. Trani, Barak Kol

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The flux-based statistical theory of the non-hierarchical three-body system predicts that the chaotic outcome distribution reduces to the chaotic emissivity function times a known function, the asymptotic flux. Here, we measure the chaotic emissivity function (or equivalently, the absorptivity) through simulations. More precisely, we follow millions of scattering events only up to the point when it can be decided whether the scattering is regular or chaotic. In this way, we measure a trivariate absorptivity function. Using it, we determine the flux-based prediction for the chaotic outcome distribution over both binary binding energy and angular momentum, and we find good agreement with the measured distribution. This constitutes a detailed confirmation of the flux-based theory and demonstrates a considerable reduction in computation to determine the chaotic outcome distribution.

Original languageAmerican English
JournalCelestial Mechanics and Dynamical Astronomy
Volume136
Issue number1
DOIs
StatePublished - Feb 2024

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Keywords

  • Celestial mechanics
  • Chaos
  • Gravitation
  • Planets and satellites: dynamical evolution and stability

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