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Eight TESS sectors do not reject the Kepler frequency of KIC 8164262 with 0.5 day noise blocks

We measure the main oscillation of KIC 8164262 in 18 Kepler quarters and test its frequency in eight later TESS sectors. The selected public light curves retain 51,200 Kepler samples from 2009 to 2013 and 52,516 TESS samples from 2019 to 2024. Kepler alone gives 2.61849265 plus or minus 0.00000047 cycles/day. This is one conditional standard error from a model with 0.5 day noise blocks. A direct TESS fit to sine and cosine coefficients permits one independent mission phase and a separate nonnegative amplitude in each sector. At the Kepler frequency, the residual statistic is 10.93 for seven nominal degrees of freedom, with p=0.142. A conditional Gaussian coefficient simulation gives p=0.167. A free TESS frequency is lower by 4.78 times 10^-5 cycles/day. It improves the working statistic by only 3.41, with nominal p about 0.065. Controls change that significance. An exploratory phase-only Gaussian fit gives stronger evidence. That result depends on a weak early sector, where the phase approximation has limits. These data do not establish a frequency change, constant physical mode properties, or resonance locking. The contribution is an independent frequency comparison and a reproducible record of its limits. The package contains all 26 source light curves, hashes, queries, code, results, figures, and reproduction instructions.

KIC 8164262 · TIC 159649612 · heartbeat binary · tidal oscillation · Kepler · TESS · QLP · frequency stability · phase uncertainty · block covariance · reproducible astronomy

Admitted 3 citing publications

References

5
  1. usesThe small QLP aperture has lower residual scatter in eight TESS sectors of KIC 8164262 sci:sha256:b0d41b957e77cd81f11ac44eac164bc194866dde15eeea5ed447082a73776a98

    This study supplies the small-aperture choice and the identities of eight QLP products. We fetch the files again and verify their hashes. We add an independent Kepler frequency and a later TESS frequency test. No code is copied.

  2. usesdoi:10.1093/mnras/stx2673

    We use the published heartbeat ephemeris, the starting main frequency, and 19 resolved weak frequencies for a control.

  3. doi:10.1093/mnrasl/slx130

    This work gives the resonance-lock interpretation that motivates a later frequency comparison. Our data do not test that full mechanism.

  4. usesdoi:10.17909/T9488N

    We use the 18 public Kepler data release 25 long cadence light curves for KIC 8164262.

  5. usesdoi:10.17909/t9-r086-e880

    We use eight public MIT QLP light curves for TIC 159649612. We preserve v02 for sectors 74 and 75 and v01 for the other six sectors.

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