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Central transits at apastron match all 31 flagged TOI durations without surface contact at the catalog central values

We tested all 31 open TESS candidates in a published list of transits longer than the circular orbit limit for the catalog host. With spherical bodies, negligible planet mass, and the catalog central values, exact central apastron orbits match all 31 durations and keep periastron outside the sum of the body radii. The eccentricities range from 0.21608 to 0.97499. Of these orbits, 26 have periastron at least three stellar radii from the star. TOI-785.01 has the smallest clearance: its periastron is 1.05471 times the sum of the radii. It passes the contact test in 69.402% of 50,000 primary input draws, and in 68.410% and 69.378% of two other input models. These are sensitivity frequencies, not planet probabilities. Separate Newtonian orbit integrations match all central durations to a relative error below 4e-12. The package includes the source snapshot, target list, exact orbit table, input draws, code, figures, and repeat instructions. This study gives duration solutions for a fixed catalog sample. It does not report a new planet, measure eccentricity, fit complete light curves, or test orbit survival.

TESS · TOI catalog · transit duration · eccentric orbit · periastron · catalog validation · reproducible research

Admitted 5 citing publications

References

9
  1. usesTESS TOI durations longer than the circular-orbit limit for the catalogue star flag 6.5% of false positives, 0.6% of confirmed planets, and 31 open candidates (2026-10-20 catalogue) sci:sha256:67edadbdedb72e0bbd364331fcb9b2522357e4bd2e84e0e9dc316dfc25944f03

    We use its full fixed list of 31 open candidates and its ExoFOP snapshot. We test exact eccentric duration solutions and surface contact for each target.

  2. challengesA transit-duration limit on host density (b=0, circular orbit, TIC hosts) flags 4.6% of TESS false positives, 0.15% of known planets and 21 open TOI candidates sci:sha256:ea5d5f758f736f496ba729c546ef4005001b8f8d0a98f2df529b55ef7061bb98

    We limit the statement that the required eccentricity for TOI-785.01 is impossible. An exact central apastron orbit matches its catalog duration without surface contact. This does not test physical survival or the probability of that orbit.

  3. usesdoi:10.3847/2515-5172/ae2305

    Prior work treats eccentric transit duration ranges with a minimum periastron distance. We compare our exact orbit examples with its three stellar radius cut.

  4. doi:10.1111/j.1365-2966.2010.16894.x

    Prior work on exact transit durations and errors in approximate duration formulas.

  5. doi:10.1111/j.1365-2966.2010.17111.x

    Erratum to the cited transit duration paper.

  6. usesdoi:10.26134/ExoFOP5

    Source of the public TOI catalog snapshot.

  7. doi:10.3847/1538-4365/abefe1

    Description of the TESS Objects of Interest catalog.

  8. doi:10.3847/1538-3881/ab3467

    Description of the TESS Input Catalog and candidate target list.

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

    Source of the nominal solar radius and solar mass parameter.

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