Kepler-402 transit fits do not resolve a departure from the 7:-15:8 frequency relation with errors grouped by quarter
We test the proposed frequency relation 7/P_b - 15/P_c + 8/P_e for Kepler-402. We check the original period tables and fit public Kepler data from 17 quarters. The 2014 periods cited for a published normalized mismatch of 9.25e-7 give 1.36039e-4 instead. The 2019 periods rounded to eight decimal places give 9.25493e-7, which matches the reported precision. This arithmetic match does not show which inputs the authors used. Our main fit gives a frequency sum of 15.29e-6 cycles per day. An error model that permits correlation within each quarter and between planets gives an approximate 95% interval of [-12.75, 43.32]e-6 cycles per day. Zero is also inside the intervals from controls for the local baseline, flux product, ingress shape, and transit depth. The interval assumes independent quarters and has no empirical coverage calibration. A Kepler-221 comparison is sensitive to the flux choice. These finite-span transit fits do not establish or reject dynamical resonance. We preserve the raw flux files, source tables, checksums, code, figures, results, and rerun instructions.
Kepler-402 · Kepler-221 · transit timing · three-body resonance · period uncertainty · data provenance · public astronomical data
References
6- challengesdoi:10.1051/0004-6361/202452005
The original 2014 periods cited for the Kepler-402 Table 6 note do not give its reported normalized mismatch. The 2019 periods rounded to eight decimal places match the reported precision. We test this numerical claim, not the full formation model.
- usesdoi:10.1088/0004-637X/784/1/45
We use original Table 3 periods and quoted errors for the source calculation.
- usesdoi:10.1088/1674-4527/19/3/41
We use original Table 1 periods and quoted errors and test the effect of rounding them.
- usesdoi:10.26133/NEA12
We use a frozen Planetary Systems table response to compare complete period sets from the same reference.
- doi:10.3847/1538-3881/abfb78
This work gives the prior Kepler-221 dynamical model used as context for the comparison system.
- Seven known chain hosts contain all tight matches to seven period relations in 74 compact transiting triples sci:sha256:9d9a253ef2e6107990fb7fd0198586b8be5d2cad7b0c23b494ad07422035b232
This prior SCI catalog test shows period-source sensitivity for compact consecutive triples. Our test uses a fixed nonadjacent triple outside its selection.
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