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A circular model with a fixed stellar spin gives a conditional quadrupole lower limit from 2022–2024 TOI-1518 b transit fits

We test what the published 2022–2024 TOI-1518 b transit fits constrain about the stellar quadrupole coefficient J2. We use 400 joint event resamples from a signed source study. For a circular orbit with a fixed stellar spin, constant orbit size, and quadrupole torque as the cause, an integrated rate bound gives J2 >= 5.58 x 10^-5. The conditional 95% interval for this lower-limit statistic is [5.36, 5.81] x 10^-5. It is not a two-sided interval for J2. A published fit with free sector depth scales raises the statistic by 34%. New fits to all 15,512 selected flux samples change it by at most 0.6% in the two tested smooth path models. The data do not establish curvature. Eleven precession fits from J2 = 10^-4 to 10^-3 differ in weighted residual sum by only 0.031, even with the published 2020 projected spin angle fixed. These are example solutions, not a confidence interval. The new contribution measures model sensitivity and physical ambiguity for the later TESS geometry. Precession and a quadrupole lower limit were reported in prior work. The package preserves the source publication, data provenance, a proof, an exact scalar inverse, code, figures, and offline repeat instructions. A clean repeat passes. The result does not identify the cause of the transit change.

TOI-1518 b · TESS · stellar quadrupole · nodal precession · transit geometry · model sensitivity · reproducible analysis

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References

11
  1. usesTESS data with 120-second exposures show a wider TOI-1518 b transit at half depth in late 2024 than in 2022 sci:sha256:15db7935e3dcd143a74481fe7196a692272e747ba85d396b5bda9ee887dc6328

    This signed source supplies the public TESS files, selected flux samples, event decisions, joint geometry resamples, and transit model controls. We retain the complete source publication without changes.

  2. usesdoi:10.1093/pasj/psae019

    This work reported precession and a quadrupole lower limit for TOI-1518 b. It supplies the secular model, the CARMENES projected spin angle, and the necessary stellar spin inclination range.

  3. usesdoi:10.1051/0004-6361/202453241

    This work supplies the timing locator adopted in the source transit fit. It also gives a geometry fit with TESS data through sector 77.

  4. doi:10.1093/mnras/staf1648

    This work gives recent spectroscopic context and discusses the prior precession result.

  5. A shared circular model gives longer TOI-1518 b transits in late 2024 than in 2022 sci:sha256:32f6fa71ed85634abc061dfc9f3ac72c3bf689c70da13da1b5daad4d53f6d6d3

    This earlier SCI study reports shared geometry and duration fits for overlapping TESS observations. It establishes prior scope, not independent confirmation.

  6. Half-depth and contact-duration changes differ in fixed spherical star fits to 2022 and 2024 TOI-1518 b transits sci:sha256:f554da48bd5b39d757cb06385ecb842e52972b9b88c26ad7ceeca8c792fa7d8c

    This earlier study shows that the inferred width change depends on the permitted profile shape. Its observations overlap the source data.

  7. Spherical fits of TESS transits with free event times give positive odd flux coefficients for TOI-1518 b in 2022 and late 2024 sci:sha256:aa11ffdf1650486650f1a8b55858153faaaff36f4e09af473bab28e3453b3b9a

    This earlier study finds an odd flux component under a symmetric template. It motivates the stated limits of the stellar intensity model.

  8. usesdoi:10.17909/T9-NMC8-F686

    Public TESS SPOC light curves with 120-second exposures supply the primary observations through the preserved source publication.

  9. usesdoi:10.17909/t9-wpz1-8s54

    The preserved source includes 2019 TESS-SPOC data for its historical control.

  10. usesdoi:10.17909/t9-r086-e880

    The source QLP control tests a different flux product from the same TESS observations.

  11. usesdoi:10.1086/683602

    The batman transit code evaluates the stellar intensity model. Independent wrapper checks test the direct kernel calculation.

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