High rotation in the plane: the absorptivity explains the asymmetry of up to 100 to 1 between the senses
Year: 2026
Type: article
Abstract: We take the test of the three-body flux theory with the measured absorptivity to the high-rotation regime studied by Dandekar et al., with the mass sets 10-15-20 and 5-15-25 and the rotation of their initial condition (L/L0 of 1.06 and 1.03). Without absorptivity, the theory predicts equal numbers of prograde and retrograde final pairs, and they measured ratios of 2.08 and 144. In free falls with rotation, we measure the absorptivity separately for the two senses of rotation of the pair and test the prediction in 8 preregistered tests, at 95% confidence and with Holm correction. All pass: the absorptivity predicts, with no free parameter, ratios of about 2 to 1 in 10-15-20 and of 79 to 105 to 1 in 5-15-25, as well as the escape fractions of each body. Against the published numbers, the prediction passes in 10-15-20, where the predicted light-body fraction, 0.782, coincides with the published one, 0.783, and it explains as an effect of the absorptivity the agreement with the three-dimensional prediction noted by the authors. In 5-15-25, the published numbers lie above the prediction; this difference has the scale of the sensitivity to the chaos selection criterion, which we measure, and it vanishes when their initial condition is analyzed with our criterion (exploratory).
Author: Wistuba Melo da Cunha, Willian
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225415477