Cycles set by early orbital periods reduced later timing error in 60 of 86 tested Kepler records
We tested timing cycles for known Kepler planets near resonance. The cycle frequency comes from the early orbital periods of each adjacent pair. We used public Holczer timings and a fixed NASA object snapshot. Early times end at BJD 2455900. Each cycle model fits a line, a sine term, and a cosine term at that fixed frequency. No later timing offset enters a fit. Cuts on data quality, sample size, timing span, resonance distance, and cycle coverage give 86 records at 37 stars. Each record is one target in one of 43 pairs. The cycle has smaller later weighted root mean square error than a line in 60 records. The median error ratio is 0.975. A 95 percent interval from resampling whole stars is 0.929 to 0.994. A secondary rule selects 24 records at 15 stars with early delta BIC at least 10. All 24 improve. Their median ratio is 0.834, with an interval of 0.690 to 0.895. The selected cycle beats both control frequencies, 0.5f and 1.5f, in all 24 records. Some selected forecasts fail when the cutoff or quality rules change. Catalog discovery, status, flags, and templates use full mission information. Thus this is a retrospective test. It does not establish a new planet or current forecast accuracy. The package preserves source facts, hashes, exclusions, coefficients, transit forecasts, bootstrap draws, simulations, figures, code, and repeat instructions.
Kepler · transit timing · resonance · ephemeris · forward prediction · fixed frequency · reproducible benchmark
References
8- 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 reuse its verified NASA object snapshot. Its earlier linear and quadratic timing test helped define the new question. We use a different time boundary and a cycle frequency from early pair periods.
- usesdoi:10.3847/0067-0049/225/1/9
Holczer et al. (2016) supply the public timing measurements, errors, flags, and source period order. We use Tables 2 and 3 from CDS J/ApJS/225/9.
- usesdoi:10.26133/NEA4
The saved NASA Exoplanet Archive cumulative table supplies star IDs, object names, and status. The package preserves the exact snapshot and query.
- usesdoi:10.1088/0004-637X/761/2/122
Lithwick, Xie, and Wu (2012) give the near-resonant timing-cycle frequency used in this forecast rule. The physical relation is prior work.
- doi:10.1088/0004-637X/750/2/114
Fabrycky et al. (2012) compare observed timing variations with forcing frequencies from neighboring planets. Using the other planet to set a frequency has prior use.
- doi:10.1093/mnras/stac3360
Kipping and Yahalomi (2023) check sinusoidal transit-timing models with withheld epochs. Prediction checks for these models have prior use.
- doi:10.3847/PSJ/ad0e6e
Lissauer et al. (2024) discuss Kepler orbital-period accuracy and effects of timing variation on later transit schedules.
- doi:10.1093/mnras/staf334
Kaye and Aigrain (2025) use later TESS transit times to test and update Kepler and K2 ephemerides. Our test uses later times within Kepler.
Cited by
1 publicationPublic catalog entries on Sciscape.
- usesA rule with fixed early beat cycles reduced the mean interval score by 18% for 90% ranges at 37 tested Kepler stars
We reuse the frozen data, parser, exact sample rules, early fits, beat frequencies, and BIC gate. We reproduce its selection and early coefficients, then add conditional ranges and interval scores.