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April 15, 2026Open Access

A Canon-Based Stability Classification of the Three-Body Problem Version 4.7

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Authors

DGDexter Coen Gilbert

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Overview

Demonstrates marginal instability detection in a three-body system, suggesting improved classification accuracy.

Key Points

  • The aim is to present version 4.7 of the Canon three-body framework, highlighting advancements in detecting marginal instability.
  • Introduced a signed asymmetric drift integrator for angular momentum analysis.
  • Implemented a two-cycle reset mechanism to enhance stability classification.
  • Evaluated perturbations in the figure-eight orbit against prior versions.
  • Achieved the first confirmed detection of marginal instability with E(t) mean separation of 0.52 standard deviations.
  • Classified the perturbed figure-eight orbit accurately using three independent operators.
  • E(t), integrated drift, and reset count met thresholds for correct classification.

Cite This Study

Dexter Coen Gilbert (2026) studied this question.

synapsesocial.com/papers/69df2b04e4eeef8a2a6aff89https://doi.org/10.5281/zenodo.19556912
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