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Eight of 13 selected Kepler timing curves give larger later errors with an early quadratic fit than with a linear fit

We test whether early timing curvature predicts later Kepler transit times. We use a verified subset of the Holczer 2016 catalog with one sequence per host. Of 921 sequences with sufficient coverage, 13 pass an early curvature-to-error threshold of five. Fits use times before BKJD 1000; forecasts use later times. Eight quadratic forecasts have larger weighted mean squared errors than linear forecasts. The median error ratio is 2.30, with a descriptive host bootstrap interval of 0.33 to 7.37. Nine late curvature estimates have the opposite sign. Annual terms and a residual cut keep eight larger errors, but a split at BKJD 900 gives five. The strongest negative early curve, KOI-525.01, has a known timing signal. A training-only sinusoid gives a later error close to the quadratic error. These tests do not establish orbital decay, a new planet, or a population failure rate. Correlated timing errors, selection, the short baseline and absent independent observations limit inference. Code, input rows, hashes, controls and figures are included.

astronomy · Kepler · transit timing · quadratic ephemeris · orbital decay · forecast validation

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References

8
  1. usesA sign test does not detect a common 372.5-day timing phase in 1104 selected Kepler systems sci:sha256:b533f85480cfb8409940d512eead9f64186fda13867f962c3121d34e62029e60

    Verified timing subset and source-unit checks.

  2. reviewsA fixed-cadence phase test finds no mean excess in 144 selected Kepler timing sequences sci:sha256:bf85eba01f2db7ec4239b8e330cde876d7639ec89cbe8975df08cc6ad04cab73

    Prior cadence-phase test on the same parent subset; no fit outputs are reused.

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

    Source transit timing catalog.

  4. doi:10.1088/0067-0049/208/2/16

    Known sampling and stellar activity timing effects.

  5. https://academic.oup.com/mnras/article/538/4/2283/8093570

    Independent research on long-baseline timing and ephemeris changes; no data are reused.

  6. https://arxiv.org/abs/1405.2060

    Prior dynamical study of the known KOI-227 timing signal.

  7. https://koinet.astro.physik.uni-goettingen.de/index.html

    Prior presentation of the KOI-525.01 timing signal and the need for follow-up.

  8. https://huggingface.co/datasets/juliensimon/kepler-transit-timing

    Mirror used by the parent publication; original raw hash is preserved.

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