Early signals of ejection in the three-body problem: the role of mass ratios
We ask whether the binary that survives the disruption of a three-body system can be recognized before the third body is ejected. In 7,000 regularized planar integrations, starting from rest and with virial ratio 0.5, we compare equal masses, two small and one large, and two large and one small. With equal masses there is no early signal: the final pair only becomes definitively the most bound at the last close encounter, and the predictor based on pair energies is correct 35% to 45% of the time, close to chance. With unequal masses, the lightest body is ejected in 92% to 99.8% of the cases, in agreement with the approximate m⁻³ law, and the signal grows with the disparity: with masses 10, 10, and 1, the final pair is determined at half the time preceding the ejection. Even so, the rule that the two heaviest bodies remain predicts the outcome as well as or better than any dynamical signal. Two large masses eject the small one earlier and with fewer escape attempts.
Authors
- Willian Wistuba Melo da Cunha (ORCID: https://orcid.org/0009-0008-2875-6607)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23963354
- Primary Topic
- Stellar, planetary, and galactic studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00