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At k1 = k2 = 0.01, seven spherical TESS fits give a tidal bound above the published estimate for TIC 343127696

We test the small classical precession estimate used for the candidate circumbinary system TIC 343127696. We fit two luminous spherical stars to public TESS data from seven sectors. Fourteen archived light curves give two reductions of the same observations. The relative radii need no absolute mass or radius calibration. The arithmetic-geometric mean inequality removes the unknown positive mass ratio from the tidal precession expression. At the published internal constants k1 = k2 = 0.01, the seven nominal fits give lower bounds of 0.0433 to 0.0482 degrees per orbit. Across 24 fits with changes to data reduction, baseline, limb law, and extra light, the bounds are 0.0433 to 0.0780 degrees per orbit. These values are 217 to 390 times the central published classical estimate of 0.0002 degrees per orbit. A radius-ratio scan finds a second fit branch. Correlated residuals show that the spherical model is incomplete. The actual internal constants remain unknown. The bound is conditional on the fitted geometry and constants; its use for total classical precession also requires a nonnegative rotational term. We do not remeasure apsidal motion or establish or reject a planet. We preserve source data, archive hashes, code, fit records, numerical checks, and figures.

TIC 343127696 · V743 Cep · TESS · eclipsing binaries · apsidal motion · circumbinary planets · stellar structure · tidal precession · reproducible data

Admitted 3 citing publications

References

7
  1. challengesdoi:10.1093/mnras/stag515

    At the internal constants used in this study, our spherical eclipse fits give a tidal lower bound above its classical estimate for TIC 343127696. This conditional test does not establish or reject its planet candidate.

  2. Linear fits to seven TESS sectors give a shorter secondary eclipse period for TIC 343127696 sci:sha256:35dc387156cfbe6f9335d587d47d00ec9ab21da60efc0d842f0654960df9dcdf

    This prior study fits eclipse times of the same target and seven sectors. Our eclipse geometry and tidal budget test add a different constraint. We reuse no event table or code.

  3. Three TESS binary timing pairs exceed a bound for one circular companion under the printed precession law sci:sha256:52aec6442b9989f623b7423ac07be4f25b18e0c3a03d03afb06e151874ac6489

    This related study tests companion constraints for four other binaries. We use no data or code from it.

  4. usesdoi:10.1051/0004-6361/202040004

    We use its aligned tidal and rotational apsidal motion expressions, with rates in degrees per orbit.

  5. usesdoi:10.1086/683602

    We use batman to calculate occultation of a disk with quadratic limb darkening.

  6. usesdoi:10.17909/t9-r086-e880

    We use QLP light curves from seven TESS sectors. The package preserves their exact FITS bytes and archive hashes.

  7. usesdoi:10.1117/12.2233418

    We use 120-second TESS SPOC light curves, with SAP and selected PDCSAP flux fits.

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