Four fitted TESS widths require periastra below two stellar radii in a central apastron model at fixed stellar and depth values

We test four published broad TESS dip widths with exact eccentric contact times. We fix the listed host, mass, radius, and period. We infer the companion radius ratio from the fitted depth and treat the empirical full width as a contact time. In the central apastron family, the four central estimates give nearest center separations of 1.109, 1.472, 1.667, and 1.371 stellar radii. All four avoid surface contact, but none reaches two stellar radii. Paired width and depth trials reach that distance in 2, 33, 0, and 5 of 300 source resamples. These counts are not planet probabilities. For TOI-1216.01, replacing the catalog width with the fitted width lowers the separation from 2.380 to 1.472 stellar radii at the same fitted radius ratio. At fixed mass and depth ratio, stellar radius increases of 29% to 86% make the four widths reach the two-radius cut. Numerical direction searches find no duration above the limiting apastron values, but do not prove a global maximum. Independent orbit integration and contact checks agree with the calculations. The empirical widths need not be physical contact times, and the hosts remain uncertain. The package preserves inputs, provenance, code, figures, and reproduction checks. This is a conditional orbit audit, not a planet confirmation or rejection.

TESS · transit duration · eccentric orbit · apastron · periastron · TOI-785.01 · TOI-1216.01 · TOI-6047.01 · TOI-6702.01 · reproducible astronomy