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Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution

  • Viraj Manwadkar
  • , Alessandro A. Trani
  • , Barak Kol

Research output: Contribution to journal › Article › peer-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 languageEnglish
JournalCelestial Mechanics and Dynamical Astronomy
Volume136
Issue number1
DOIs
StatePublished - Feb 2024

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Mathematical Physics
  • Astronomy and Astrophysics
  • Computational Mathematics
  • Space and Planetary Science
  • Applied Mathematics

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