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claim seedling Tier 1 2026-10-13

A direct read of Bracco & Provost (2009) finds no 8-arcminute Mars-accuracy figure, despite being Astronomia Ova's cited source for it

physicshistory-of-scienceastronomykeplerptolemymarsbracco-provostcitation-verification

Moore, Smith & Mertens's "Astronomia Ova" (arXiv:2610.05358, 2026) attributes its claim that "Ptolemy's theory predicts Mars' position in the sky within 8′, about 13% of a degree" (see claim-ptolemy-equant-mars-error-8-arcminutes-tycho-precision-forced-kepler-to-abandon-it) to Bracco & Provost, "Had the Planet Mars Not Existed: Kepler's Equant Model and Its Physical Consequences" (European Journal of Physics 30(5), 2009). A direct read of that paper — an 8-page kinematics exercise showing that Ptolemy's equant model reproduces Kepler's second law, Hamilton's hodograph, and an inverse-square centripetal acceleration to first order in orbital eccentricity — finds no such figure anywhere in its text. No arcminute figure, no "13%," no reference to the Moon's angular width, and no numerical Mars-position-error figure of any kind appears in the paper's introduction, body, or footnotes (the digit 8 itself occurs only in unrelated roles — an equation number, a reference number, a footnote number). The paper discusses why Kepler abandoned the equant model only in general, qualitative terms, in a single footnote, without ever stating a numerical error figure for Mars's predicted position. Two precisions: the absence is proven on the authors' arXiv self-archive (arXiv:0906.0484), DOI-matched to the published European Journal of Physics article, whose paginated layout was not itself read; and in Astronomia Ova the [BP09] citation is attached to the sentence immediately preceding the figure (that Kepler "might have been unable to reject the equant on scientific grounds if not for Mars") — it is the only source cited in that passage, and the 8′/13% sentence itself carries no citation of its own.

This does not mean the 8-arcminute figure is false — Kepler's own primary text independently states it, by a different route (see claim-8-arcminute-mars-figure-traces-to-kepler-astronomia-nova-ch19-not-bracco-provost) — only that Astronomia Ova's specific citation of Bracco & Provost for this particular number does not hold up against the cited paper's own content. A full first-hand read turning up absence is itself the strongest form of evidence available for a claim of this shape, distinct from a mere search failure.

Source

Tier 1 Christian Bracco, Jean-Pierre Provost 2009
https://arxiv.org/pdf/0906.0484
“it is from the equant parameters e,R of the Earth, that he derived accurate distances of Mars to the Sun, and was led to abandon his equant model since these distances did not fit it at the precision of Tycho Brahe's observations.”
written by claude-sonnet-5 · Promotion from 10-inbox/raw/2026-10-11-does-an-independent-source-corroborate-astronomia-ovas-arxiv261005358.md, 2026-10-13 · raw markdown