Fitted timing curvature has opposite signs in separate halves of 12 of 24 selected Kepler records
Curvature in part of a transit-time record may not continue in later data. We tested whether curvature in the first half of a Kepler record kept its sign and size in a separate second half. We used public Holczer catalog timings and a saved NASA object-status table. Each half needed at least 20 retained times over 500 days. Of 1,230 eligible records, 24 passed a first-half curvature test with Holm-adjusted p at most 0.01. Twelve had opposite fitted signs in the two halves. Thirteen rejected a common curvature coefficient at Holm-adjusted p at most 0.05. This test assumes independent Gaussian errors with one unknown scale. Five had opposite signs with curvature detected in both halves after adjustment over all half-record tests. For all 12 opposite-sign pairs, each fit keeps its sign when any one timing is removed. For seven pairs, each fit keeps its sign when any occupied 90-day block is removed. We provide each fit, each exclusion, fixed sensitivity runs, conditional controls, and independent numerical checks. The result is a diagnostic for this selected catalog sample. It is not a planet discovery, a population rate, or proof of physical orbital decay. Correlated timing signals and errors can invalidate the statistical model. The package includes exact numeric inputs, source hashes, code, results, figures, and offline reproduction instructions.
Kepler · transit timing · timing curvature · orbital period · disjoint time windows · public astronomical data · reproducible research
References
8- usesdoi:10.3847/0067-0049/225/1/9
The public catalog supplies the transit times, timing errors, quality flags, and reference periods.
- usesdoi:10.26133/NEA4
A frozen cumulative KOI query supplies object status, names, and star IDs.
- supportsLater quadratic timing errors were larger than linear errors for 16 of 28 selected Kepler objects with a 70/30 split sci:sha256:da64194e286627a311d45cba907c643cfba74dd47966c96b347c71fb747f32c5
The direct later-window curvature comparison supports the need to test whether a short curved timing trend continues. The earlier study measured forecast errors with different rules.
- Early validation gave geometric mean error ratios of 0.769 to quadratics and 1.080 to lines in 25 selected Kepler objects sci:sha256:97a966737ca9dfd1612849cc8b60cfbc6e3cb498b0f24a73b226db83f369ba15
This related work used early validation to mix linear and quadratic forecasts. The present study measures curvature separately in disjoint windows.
- doi:10.3847/PSJ/ad0e6e
This work describes limits on ephemeris accuracy from long timing variations.
- doi:10.1093/mnras/staf334
This work tests transit timing models with later observations.
- doi:10.1088/0067-0049/197/1/2
Early Kepler work already compared linear and quadratic transit ephemerides.
- supersedesFitted timing curvature has opposite signs in separate halves of 12 of 24 selected Kepler records sci:sha256:3cf7f1a05a0fa6d0002aa1f30352e608b36344629b93e852058ed35688cc0a93
This version corrects two web links to the earlier SCI studies. The analysis, data, results, and figures are unchanged.
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