Rotation in the plane: the failure of flux theory disappears and the absorptivity explains the asymmetry between the senses

We test the three-body flux theory, with the measured absorptivity, in planar free falls with total angular momentum between 0.1 and 0.7 times the L0 of the heaviest pair, in the mass sets 1-1-3 and 1-2-3, requiring three or four scramble states before the escape. We show that, in the plane, the flux weight does not depend on the total angular momentum: rotation enters only through the absorptivity, which we measure separately for the two senses of rotation of the pair. In two preregistered rounds, with independent seeds, the theory passes in the shape of the final eccentricity of both sets. The failure of 1-1-3 found with zero angular momentum does not survive rotation: the only failure, a marginal one, did not repeat with new data, and with a rotation of 0.1 the test already passes (exploratory). The fraction of prograde final pairs, which the theory without absorptivity fixes at 1/2, is predicted by the measured absorptivity in the eight confirmatory tests, at 95% confidence and with Holm correction, including where the asymmetry is strong (2.16 prograde pairs per retrograde one in 1-2-3 with a rotation of 0.7) and where it changes sign (retrograde excess with 0.3). In the low-rotation regime, the asymmetry between the senses is explained by the absorptivity.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.23998132
Primary Topic
Stellar, planetary, and galactic studies
Type
article
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article

Rotation in the plane: the failure of flux theory disappears and the absorptivity explains the asymmetry between the senses

Willian Wistuba Melo da Cunha
6 links
Zenodo (CERN European Organization for Nuclear Research)
Stellar, planetary, and galactic studies
article

Rotation in the plane: the failure of flux theory disappears and the absorptivity explains the asymmetry between the senses

Willian Wistuba Melo da Cunha
article en

Abstract

We test the three-body flux theory, with the measured absorptivity, in planar free falls with total angular momentum between 0.1 and 0.7 times the L0 of the heaviest pair, in the mass sets 1-1-3 and 1-2-3, requiring three or four scramble states before the escape. We show that, in the plane, the flux weight does not depend on the total angular momentum: rotation enters only through the absorptivity, which we measure separately for the two senses of rotation of the pair. In two preregistered rounds, with independent seeds, the theory passes in the shape of the final eccentricity of both sets. The failure of 1-1-3 found with zero angular momentum does not survive rotation: the only failure, a marginal one, did not repeat with new data, and with a rotation of 0.1 the test already passes (exploratory). The fraction of prograde final pairs, which the theory without absorptivity fixes at 1/2, is predicted by the measured absorptivity in the eight confirmatory tests, at 95% confidence and with Holm correction, including where the asymmetry is strong (2.16 prograde pairs per retrograde one in 1-2-3 with a rotation of 0.7) and where it changes sign (retrograde excess with 0.3). In the low-rotation regime, the asymmetry between the senses is explained by the absorptivity.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 26%
Stellar, planetary, and galactic studies
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