A free common timing wave fits 51 published TESS times for TOI-270 c and d with a period near 1110 days
We tested whether published transit times select a common timing-wave period when that period is free. Each planet has a separate linear clock and wave amplitude and phase. We searched periods from 100 to 10000 days. A fit to 51 TESS times of TOI-270 c and d has its minimum at 1109.9 days, with chi-square 32.99 for 42 degrees of freedom. The conditional set with a chi-square rise of at most 3.84146 is 1072.0–1151.7 days. Early TESS data alone permit 12 separate ranges, including one that reaches the upper search limit. Planet c supplies most of the common-period constraint. Planet d alone permits several aliases. The full set of 88 times from all telescopes gives excess scatter: chi-square 176.40 for 79 degrees of freedom. Tests with error floors, telescope removal, and alternative transit extractions keep the combined fit near 1100 days but change its width. The results assume one sine wave per planet and independent timing errors. They do not give a full gravitational solution or a new planet detection. The package preserves input tables, the signed source publication, code, frequency profiles, numerical checks, and figures.
TOI-270 · TESS · transit timing · free period · frequency profile · period aliases · reproducible astronomy
References
6- usesFixed 1102-day timing waves reduce forecast errors for TOI-270 c and d in TESS sectors 97 and 98 sci:sha256:dee9170742a14614b35e27dc6c8d6e5bc6d6583e620d86de170737f69c7ada78
Its signed package supplies the early timing table, the late TESS timing measurements, their errors, and eight extraction choices. We extend its fixed-period forecast test with a free-period search.
- usesdoi:10.1093/mnras/stab3483
Its timing tables supply the early observations through the SCI source package. It previously detected the timing variations and fitted planetary motion.
- usesdoi:10.17909/t9-nmc8-f686
TESS SPOC light curves are the source observations for the reused later timing measurements. The original data and their source links remain in the nested signed archive.
- doi:10.1038/s41550-019-0845-5
- doi:10.1088/0004-637X/761/2/122
- Ten starts per transit change the TOI-270 d width contrast from 2.6 to 8.0 minutes under a fixed template and weights in seven TESS sectors sci:sha256:2e6fa6e951f3d8e5f983bc7bd9cf1e711d3b0c456b8e607f12f277c91b15e811
This separate study shows sensitivity of transit-width fits for the same TESS light curves. It provides context for fixed-template limits, not a timing-error calibration.
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