The Kepler-539 b mass and amplitude ranges do not overlap at three error widths with the reported eccentricity limit

We test whether reported masses and velocity amplitudes can agree when eccentricity is an upper limit. We use saved NASA Exoplanet Archive data from 22 October 2026. A rectangular range test retains 1,586 published solution rows and 1,081 composite rows. Allowing eccentricity limits adds 442 solution rows and 186 composite rows to the same selection. Kepler-539 b has a known source conflict. At three listed error widths, with decimal allowances and 0 <= e <= 0.395, its mass and orbit permit K from 3.57 to 85.91 m/s. Its listed amplitude permits 113.20 to 151.40 m/s. Adding the source statistical and systematic mass errors linearly still leaves a 19.36 m/s gap. Agreement needs e at least 0.717, or an error multiplier of 4.179 under the other stated rules. A circular fit to all 20 published velocities at the fixed transit ephemeris gives K = 38.27 +/- 9.85 m/s with one formal error. Earlier work already flagged the conflict and fitted small amplitudes. Our contribution is the expanded audit, an explicit range certificate, and a reproducible source-data check. The test does not assign a joint confidence level or establish a new planet. At five error widths the Kepler-539 b ranges overlap. The package contains frozen inputs, provenance, code, figures, results, independent checks, and repeat instructions.

exoplanets · radial velocity · Kepler-539 b · eccentricity upper limits · catalogue consistency · interval bounds · reproducible research