Table E.1
Required observation time in days.
| (a) Nominal case | ||||||
|---|---|---|---|---|---|---|
| Observation Time [days] | ||||||
| R | 20 | 35 | 50 | 100 | ||
| S/N | 1m Mirrors | 5 | 48.6 | 85.7 | 122.5 | 249.1 |
| 10 | 194.6 | 342.7 | 490.1 | 996.2 | ||
| 15 | 437.8 | 771.0 | 1102.7 | 2241.5 | ||
| 20 | 778.3 | 1370.6 | 1960.4 | 3984.8 | ||
| 2m Mirrors | 5 | 4.7 | 8.2 | 11.7 | 23.9 | |
| 10 | 18.6 | 32.7 | 46.7 | 95.4 | ||
| 15 | 41.9 | 73.5 | 105.0 | 214.7 | ||
| 20 | 74.5 | 130.7 | 186.6 | 381.7 | ||
| 3.5 m Mirrors | 5 | 1.0 | 1.7 | 2.4 | 4.9 | |
| 10 | 3.8 | 6.7 | 9.5 | 19.6 | ||
| 15 | 8.6 | 15.1 | 21.5 | 44.2 | ||
| 20 | 15.3 | 26.8 | 38.2 | 78.5 | ||
| (b) Optimized case | ||||||
|---|---|---|---|---|---|---|
| Observation Time [days] | ||||||
| R | 20 | 35 | 50 | 100 | ||
| S/N | 1m Mirrors | 5 | 57.7 | 102.5 | 147.1 | 294.7 |
| 10 | 230.6 | 410.0 | 588.5 | 1178.7 | ||
| 15 | 518.9 | 922.2 | 1324.2 | 2652.2 | ||
| 20 | 922.5 | 1639.5 | 2354.1 | 4714.9 | ||
| 2m Mirrors | 5 | 4.0 | 7.1 | 10.2 | 20.6 | |
| 10 | 16.0 | 28.5 | 41.0 | 82.3 | ||
| 15 | 36.2 | 64.2 | 92.1 | 185.2 | ||
| 20 | 64.4 | 114.2 | 163.8 | 329.2 | ||
| 3.5m Mirrors | 5 | 0.6 | 1.0 | 1.4 | 2.9 | |
| 10 | 2.2 | 3.9 | 5.7 | 11.4 | ||
| 15 | 5.0 | 8.9 | 12.7 | 25.7 | ||
| 20 | 8.9 | 15.8 | 22.6 | 45.8 | ||
Notes. Observation times necessary for LIFE to investigate an Earth-twin at 10 pc in orbit around a G2 star for the grid of R and S/N discussed in this publication. The S/N in the Table corresponds to the S/N at 11.2 µm. We consider three different aperture diameters (1m, 2m, and 3.5m) and conservatively assume a total instrument throughput of 5% (cf. Dannert et al. 2022). (a): Nominal case; (b): Optimized case.
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