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TESS data from 2019 to 2024 show two known tidal signals in HD 181068

HD 181068 contains a red giant and a close pair of dwarf stars. Kepler found two strong signals that agree with tidal forcing by the pair. We test whether both signals are present in later TESS data. We fit seven public, 120-second light curves in four observing groups from 2019 to 2024. We exclude eclipses and fit trends, inner orbital harmonics, and both signals together. The specified frequencies are 2.12032533 and 2.16430931 cycles per day. Both signals pass the tests in every group. Wild block tests use 0.5, 1, and 2-day blocks. Holm correction covers eight signal tests for each block choice. The largest adjusted p-value is 0.0145. The stronger signal has semi-amplitudes from 314 to 340 parts per million. The weaker signal has semi-amplitudes from 166 to 206 parts per million. Local free-frequency fits agree with the specified values within 1.8 estimated standard errors. The relative phase at an outer eclipse is consistent with zero in each group. Its statistical mean is 0.0032 plus or minus 0.0140 cycle. A change from corrected to raw flux moves one phase estimate by 0.052 cycle. Thus, the data support approximate phase alignment but do not give a precise physical lag. The tests assume small noise correlations between blocks and the published orbital model. We do not establish continuous phase agreement through the long gaps or measure orbital decay. The package contains the exact source files, hashes, code, results, figures, and offline reproduction instructions.

HD 181068 · KIC 5952403 · TIC 121945407 · TESS · tidal oscillations · triple stars · stellar oscillations · public astronomical data · reproducible research

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References

8
  1. usesdoi:10.1126/science.1201762

    This work identified the triple system and its unusual oscillations in Kepler data.

  2. usesdoi:10.1093/mnras/sts146

    We use the orbital periods and eclipse epochs in Table 4 to set frequencies and eclipse masks.

  3. usesdoi:10.1093/mnras/sts511

    We test the two strong tidal frequencies and the expected relative phase in later TESS observations.

  4. usesdoi:10.17909/t9-nmc8-f686

    This MAST collection supplies the seven TESS light curves. The package gives exact product names and hashes.

  5. usesdoi:10.1117/1.JATIS.1.1.014003

    The observations come from the TESS mission.

  6. usesdoi:10.1117/12.2233418

    The study uses SPOC flux and quality flags.

  7. usesdoi:10.1162/rest.90.3.414

    This work describes the general use of wild bootstrap tests for grouped errors. Our code gives the specific block test.

  8. usesdoi:10.1051/0004-6361/201423879

    This study describes strong stellar activity. We allow for extra, time-correlated stellar noise.

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