1.0.0-candidate: one angle, an exact likelihood

Unrefereed research candidate. An exact projected-angle likelihood and population inversion for wide-binary eccentricities.

• Closed-form likelihood of the angle between a wide binary's projected separation and projected relative velocity, for any eccentricity (Theorem 3.1).
• The angle distribution determines the eccentricity distribution, atoms included, by an explicit Abel inverse (Theorem 4.1), answering the uniqueness question in Appendix B of Hwang, Ting and Zakamska (2022). The inverse is weakly continuous but discontinuous in total variation.
• Direct moment estimators, e.g. E e^2 = 1/2 + E cos 2Γ − (1/2) E cos 4Γ; power-law index estimators; two exact selection results.
• Ideal model; synthetic checks only; no observational catalogue analysed.

DOI: https://doi.org/10.5281/zenodo.23838665 (concept 10.5281/zenodo.23838664). Release page: https://evidencepress.org/releases/wide-binary-angle-inversion/

Assets: the archive ZIP, the 21-page manuscript PDF and RELEASE-SHA256SUMS; the same files are deposited on Zenodo. Assurance: written proofs; numerical checks and Kepler simulations; producer replay in normal and optimised Python with negative controls; internal AI-assisted review only (not peer review, independent reproduction or formal verification). Creator: Anonymous. Text and data CC0-1.0; code MIT.