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For a constant transit clock, HD 15337 B adds less than 9 seconds to the tested 2018–2023 contrast under stated orbit limits

We test whether geometric light delay from HD 15337 B can explain published timing changes of planet c. A contrast of three transit times removes a constant epoch and period. The test assumes a constant emission period of at most 18 days. At epoch 2019.53, the projected stellar separation must be at least 60 AU. The companion and total stellar masses must not exceed 0.4 and 1.5 solar masses. The relative stellar orbit must have nonpositive energy. All tested emission times must lie within six years of the imaging epoch. These limits give a separation floor of 51.243 AU. For cycles 2, 65, and 104 in 2018–2023, the light-delay contrast is at most 8.953 seconds. The published contrast is 1,838.795 seconds. It remains above 1,047.473 seconds when each time can move by five quoted errors, with extra allowances for rounding. The stellar upper limit is less than 0.86% of this lower value. This numerical bound supports a prior qualitative exclusion of the wide star. It does not identify the cause or establish a new planet. The result requires a common time standard and the stated physical limits. We preserve source data, code, results, figures, and reproduction instructions.

HD 15337 · TOI-402 · transit timing · light travel time · Romer delay · stellar companions · orbital energy · reproducible astronomy

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References

4
  1. usesdoi:10.48550/arXiv.2602.22327

    Version 1, Tables 2 and 3 supply the published transit times and alternate reductions. Section IV.2 gives the prior qualitative argument against the wide star as their main cause. This work adds a conditional numerical bound.

  2. usesdoi:10.48550/arXiv.2509.25332

    Version 2, Tables 1, 2, and 3 supply the distance, resolved stellar astrometry, and model-dependent mass context. These data motivate the explicit physical limits. We do not use its fitted stellar orbit.

  3. usesdoi:10.3847/0004-6256/152/2/41

    The IAU 2015 nominal solar mass parameter defines the numerical mass unit in the calculation.

  4. Exact circular and cubic fits with fixed inner RV phase differ by less than 1.8 seconds at 130 WASP-4 transits sci:sha256:a12c5f1222cd76c37e4ca3b1fce5ec8c0d8889ab8355bed4f181694f19b9f8f4

    Related work tests geometric light delay in WASP-4 with fitted orbit models. It concerns a different system. We use none of its data or code.

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