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Table 7

Estimations of the threshold times needed to detect different effects with the S2 star, considering various astrometric and spectroscopic accuracies.

Detected effects

model A 10 μas 30 μas 50 μas 100 μas

Roemer 1 km s-1 1 month 1 month 2 months 4(2) months
TD 10 km s-1 2 months 4 months 6(4) months 1 an (10 months)
Grav. 100 km s-1 4 months 10(6) months 4(1) yr 16(4) yr

model B 10 μas 30 μas 50 μas 100 μas

TD 1 km s-1 1 month 1 month 2 months 4 months
Grav. 10 km s-1 2 months 4 months 6(4) months 10 months
100 km s-1 4 yr (10 months) 18(10) yr 18 yr 18 yr

model C 10 μas 30 μas 50 μas 100 μas

PA 1 km s-1 10(6) months [8(2) yr] 14(12) yr 18(14) yr 18 yr
GL 10 km s-1 6(4) yr [8(6) yr] 18 yr 18 yr 20 yr
HOPC 100 km s-1 6 yr 18 yr 18 yr 20 yr

model D 10 μas 30 μas 50 μas 100 μas

GL 1 km s-1 6 months >30 yr / /
HOPC 10 km s-1 18(4) yr >30 yr / /
100 km s-1 / / / /

model E 10 μas 30 μas 50 μas 100 μas

GL 1 km s-1 6 months >30 yr / /
HOPC 10 km s-1 18(6) yr >30 yr / /
100 km s-1 / / / /

model F 10 μas 30 μas 50 μas 100 μas

GL 1 km s-1 18 yr (10 months) >30 yr / /
HOPC 10 km s-1 >30 yr >30 yr / /
100 km s-1 / / / /

Notes. The main effects that cause each model to fail to explain the full-GR observations are listed in the left column (see Table 2 for the different acronyms). Threshold times given in brackets correspond to those obtained considering a percentage of failure of 60%, instead of 90%. When there are no brackets it means that the thresholds are similar for both percentages. The times given in square brackets for model C are obtained considering mock observations of the S2 star generated with model D instead of model G.

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