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Early orbital beat models reduced later timing error for 17 of 20 selected Kepler pairs in a 70/30 test

We tested whether early orbital beat periods help predict later planet transit times. We used public Kepler timing data and a saved NASA planet catalog. We formed adjacent confirmed planet pairs near first-order period ratios. Each pair needed at least one predicted beat cycle in its early record. We fitted a line, a quadratic, and a line with one fixed-period sine and cosine. Fits and selection used the first 70% of the pair's time span. Scores used the last 30%. Of 62 eligible pairs, 20 pairs at 19 stars passed the early support rule. The cycle model gave less later error than the line for 17 of these 20 pairs and less error than the quadratic for 18. The median pair error ratios were 0.816 and 0.718. A bootstrap that kept pairs at one star together gave 95% percentile ranges of 0.720 to 0.909 and 0.569 to 0.804. Across all 62 eligible pairs, the median cycle-to-line ratio was 0.988. Changed splits, weights, and quality filters retained the selected-sample result. Independent parser and fit checks passed. The package preserves source tables, provenance, code, predictions, controls, and figures. The result is a finite forecast benchmark within the Kepler record. Source measurements and confirmed status can use full-record information. This test does not establish a new planet, a unique physical cause, or forecast accuracy across a later mission gap.

Kepler · transit timing variations · orbital beat period · chronological validation · ephemeris · reproducible benchmark

Admitted 1 citing publication

References

10
  1. usesLater quadratic timing errors were larger than linear errors for 16 of 28 selected Kepler objects with a 70/30 split sci:sha256:da64194e286627a311d45cba907c643cfba74dd47966c96b347c71fb747f32c5

    We build on its later-time forecast question and 70/30 test structure. We use a different sample and a fixed orbital beat model. We wrote new code and obtained the source tables directly.

  2. usesdoi:10.3847/0067-0049/225/1/9

    The CDS tables from this work supply the measured timing offsets, errors, and quality flags.

  3. usesdoi:10.26133/NEA4

    The cumulative KOI snapshot, retrieved on 2026-10-21 at 05:57:25 UTC, supplies confirmed status, star identifiers, names, and planet order.

  4. usesdoi:10.1088/0004-637X/761/2/122

    This work gives the near-resonance beat-period relation used to set the timing cycle.

  5. doi:10.1088/0067-0049/208/2/22

    This is prior use of near-resonance timing cycles for planet pairs. Our work does not claim a new cycle model or planet confirmation.

  6. doi:10.1093/mnras/stz247

    This work used simple timing models with a line and sinusoidal terms before this study.

  7. doi:10.1093/mnras/stab1840

    This work used random-row timing cross-validation. Our test holds out a later interval.

  8. doi:10.1088/0004-637X/802/2/116

    Additional timing terms limit the physical scope of a one-cycle fit.

  9. doi:10.3847/PSJ/ad0e6e

    This work explains limits on long-term ephemerides from finite mean orbital periods.

  10. doi:10.1093/mnras/staf334

    This work extends timing records across Kepler, K2, and TESS. Our test is limited to the Kepler record.

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