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With the fitted Kepler pulse shape and white noise, 30-minute bins keep over 99% of information in two TESS visits of KIC 12254688

We tested the effect of time binning on two public TESS visits of the known self-lensing binary KIC 12254688. We fit a pulse shape to three Kepler events. We then fit pulse amplitudes and local quadratic baselines at the published TESS pulse times in Sectors 41 and 56. We combined the same samples into longer bins and averaged every model term over those samples. For the best Kepler shape and independent white noise, 30-minute bins keep 99.488% to 99.861% of the amplitude information across 20 bin phases, two variance choices, and three fixed time positions. The measured off-event amplitude scatter changes by less than 0.6%. The original pulse amplitudes are 1679 and 1025 parts per million. The off-event scatter is 662 and 549 parts per million; these are descriptive noise scales, not calibrated confidence intervals. Baseline changes affect the amplitudes more than binning does. A broader fixed-shape grid keeps at least 98.907% of the white-noise information. The result supports combining existing short samples for this amplitude test. It does not measure hardware changes or the completeness of an unknown-pulse search. The package contains all 22 original public FITS files, input hashes, source requests, code, full results, and figures.

TESS · Kepler · self-lensing · KIC 12254688 · time binning · Fisher information · correlated noise · reproducible photometry

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References

8
  1. usesdoi:10.3847/2041-8213/ad19dc

    We use the prior TESS pulse times and study the cadence-sensitivity question raised in Section IV. The TESS pulse detections are prior work.

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    Discovery of the self-lensing system and published orbital period.

  3. usesdoi:10.1086/376833

    Physical basis for the small-lens surface-brightness profile.

  4. supportsdoi:10.1111/j.1365-2966.2010.17242.x

    Established need to integrate the light-curve model over exposures.

  5. supportsdoi:10.1093/mnras/stac2828

    Prior study of time averaging and noise in astronomical light curves. The general binning principle is not new here.

  6. doi:10.1088/0004-637X/704/1/51

    Prior analysis of correlated-noise limits in light-curve parameter estimates. We do not use its wavelet algorithm.

  7. usesdoi:10.17909/t9-r086-e880

    Public MIT QLP light curves provide the comparison reduction for both TESS sectors.

  8. usesdoi:10.17909/hm87-b313

    Observation collection cited by the original TESS study. Our exact products and download requests are recorded with hashes.

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