Six published TOI-1062 flare candidates cover 22.4% of an orbital cycle with the measured TESS period

We tested how the orbital period changes the phase concentration of six published TOI-1062 flare candidates. We held all six peak times fixed. A fit to 58 transit windows in ten TESS sectors from 2018 to 2025 gives a period of 4.1150517 +/- 0.0000025 days. The error estimate treats each transit window as one independent group. The shortest arc that contains all six candidates covers 22.38% of a cycle at this period. It covers 8.15% at the NASA archive central value of 4.11296 days. For six independent uniform phases at a fixed period, this exact arc probability rises from 0.00002155 to 0.003366. This is a factor of 156. We also give an exact calculation for the accepted 120-second exposure and check it with five million simulations. The result depends on the fixed event list. We also remove the candidate with the lowest published flare evidence as a check. The five remaining candidates cover 10.98% of a cycle at the measured period. Their uniform-phase arc probability is 0.000727. A similar precise period was already in prior work. The added result is its measured effect on the published event concentration. These tests do not establish the cause of the candidates or a survey-wide false-alarm probability.

TOI-1062 · TESS · stellar flares · orbital phase · transit timing · ephemeris · circular statistics · observing exposure · reproducible research