Left: 1-σ uncertainty in the inclinations vs. source inclinations for two values of S/N: plusses (outer curves) correspond to S/N = 10, stars (inner curves) correspond to S/N = 53. The curves above the dotted line correspond to ι + σι, and those below to ι − σι. The thick horizontal dashed and dashed-dotted lines are the physical limits of ι: below the line of ι ± σι = 0° and above the line of ι ± σι = 90°, σι can be truncated, since that value of ι is bounded between [0°,90°]. Right: “unphysical ι” versus S/N for the systems from MC1. The thick dashed-dotted line calculated from the condition ι − σι = 0°, and the thick dashed line from the condition ι + σι = 90° demonstrated in the left panel. At an S/N of 10, the in open circles show a lower limit and the filled circles show an upper limit at the intersections with the two curves from the conditions above.
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