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Eight TESS visits do not resolve the fixed TrES-1 b precession width prediction under independent normal errors with equal variance

We test the transit width of TrES-1 b in 54 accepted events from eight public TESS visits in 2019–2024. We measure width at half depth with a fixed transit profile and fixed 120-second exposure averaging. Corrected flux gives a slope of -0.16 seconds per Julian year. The nominal 95% Student t interval is -6.22 to +5.90. It assumes independent normal visit errors with equal unknown variance. A check that includes an event variance floor gives -13.16 to +12.84. In 128 residual-block trials per input slope, the nominal intervals contain the input in 92.2% of trials. The variance-floor check gives 96.9%. These trials add no shared visit error. The rounded median precession parameters in Hagey et al. (2025) predict a 12.13-second width increase at our fixed geometry. The predicted slope is +2.46 seconds per year. Both zero slope and this prediction lie within the corrected-flux intervals. An exploratory comparison uses the same samples and weights for aperture and corrected flux. The aperture-minus-corrected slope is +7.99 seconds per year, with a nominal interval of +1.64 to +14.35. That interval includes zero when the 2019 visit is removed. The width test does not select a physical orbit model. It does not test the full precession posterior. The package contains original data, source hashes, event decisions, code, recovery trials, figures, and repeat instructions.

TrES-1 b · TESS · transit width · apsidal precession · exposure integration · flux correction · reproducible astronomy

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References

6
  1. usesThe TrES-1 b entries in a 2026 table give two period-change rates that differ by a factor of ten sci:sha256:612b1911e3f5a6e3af63515bd19b609ae73e81522d5c5d98359f3d869db10f24

    We reuse its verified original FITS inputs, provenance, coverage rules, and fixed geometry. We adapt its MIT selection and normalization code. We measure transit widths as a separate observable.

  2. usesdoi:10.3847/1538-3881/aded15

    Table 1 gives the rounded median apsidal-precession parameters tested at a fixed transit geometry.

  3. usesdoi:10.17909/t9-nmc8-f686

    The input light curves are public TESS SPOC data held at MAST.

  4. usesdoi:10.1086/683602

    batman supplies the intrinsic circular and eccentric transit profiles.

  5. doi:10.1086/590549

    This work describes how apsidal precession changes transit duration through orbital speed and the transit chord.

  6. Ten TESS sectors from 2020 to 2024 do not show a steady width change of TrES-2 b under independent Gaussian sector errors sci:sha256:b5072235c5ae2be85fe0814685a3c8ff342ac6b7b0468ae069ebd37f0d079891

    Its public abstract supplies context for fixed-profile half-depth width measurements and an independent-sector error model. No code or data is copied from it.

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