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For 44 fixed periods of TOI-941.02, 29 ideal visits of 10 hours separate all 34 timing groups on the tested 2026–2027 grid

Two reported TESS events leave 44 possible fixed periods for TOI-941.02. We use the verified source fit and ask which periods complete transit records can distinguish between BTJD 4338 and 4496, about 2026 October 24 to 2027 March 31. Exact rational event times give 34 distinct groups. Eight models predict no event, and three other pairs share all event times in the season. We bound each endpoint by three quoted error widths and allow the duration to increase by three quoted widths. Each record must contain the full allowed transit and 0.5 hours of baseline on each side. Of 53 records centred on predicted events, 29 records of 10 hours separate all 915 distinguishable model pairs. A certificate with 29 disjoint comparison requirements proves that this count is the minimum on the tested grid. An equally small set that favours earlier records finishes by 2027 March 3. An extra centre displacement of plus or minus 0.5 hours preserves all separations with 10-hour records. A displacement of plus or minus 1 hour requires longer records under this rule; 12-hour records restore all separations. Independent Decimal arithmetic checks all 20,196 response entries across nine cases. The result assumes the supplied 44 periods, one body on a constant period, stable transits, successful recovery, and complete records. We do not apply telescope visibility or weather constraints. We preserve the signed source, code, provenance, tables, figures, and reproduction steps. This work gives an observation design; it reports no new transit or confirmed planet.

TOI-941.02 · TIC 408137826 · TESS · period aliases · transit timing · observation design · set cover · exoplanet candidate · reproducible research

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References

7
  1. usesA second TESS transit of TOI-941.02 in Sector 5 limits its period to 44 values from 30.35 to 2579.79 days, if one body on a fixed period caused both events sci:sha256:4d5129cc7ce7ac20163fce5a44bef3610700529bd3e3bdc36e41710d915e79a9

    We use its two event centres, quoted fit widths, transit duration, 44 allowed cycle counts, and nominal ephemeris of TOI-941 b. We preserve its complete signed package. We condition on its period exclusions and do not repeat them.

  2. doi:10.1093/mnras/stad3783

    Prior work on TESS duotransits and targeted photometry of period aliases. Sections 3.3 and 5.2.1 set the context for our observation design.

  3. doi:10.1051/0004-6361/202243065

    Prior work that uses MonoTools and targeted CHEOPS and ground observations to resolve TOI-2076 period aliases. It describes practical scheduling limits and transit timing changes.

  4. doi:10.1093/mnras/stad1319

    An earlier application of targeted CHEOPS photometry to recover the period of a candidate with two TESS transits.

  5. usesdoi:10.26134/ExoFOP5

    The frozen target subset in the parent gives the sky position used for nominal UTC labels. We use that preserved subset, not a new live catalog query.

  6. usesdoi:10.1038/s41592-019-0686-2

    SciPy provides the finite-grid mixed-integer optimization interface.

  7. usesdoi:10.3847/1538-4357/ac7c74

    Astropy supplies barycentric time corrections for the nominal geocentric UTC table.

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