Period Recovery Probability in Single and Multi-Sector TESS Observations

This study computes a detection budget for a clearly bounded question: Given the 27.4-day sector structure of the TESS primary mission, for which orbital periods can two transits - the minimum for a period determination - be expected, and how does the continuous viewing zone change the answer? In one sector, two-transit probability is 1.00 at 10 days, 1.00 at 13.7 days and 0.37 at 20 days. The maximum period permitting two transits in one sector is 13.7 days. At 50 days a single sector gives two-transit probability 0.00 but single-transit probability 0.55. All values are computed from published anchor values and stated assumptions by a deposited script; the study is simulated and computed throughout, not measured. Single TESS sectors determine periods only below about two weeks with confidence; the continuous viewing zone extends secure period recovery by more than an order of magnitude in period.