Table 7
Orbital elements and multi-epoch scores of the four injected orbits and the optimal ones found with PACOME.
Elem. | Unit | Source (1) | Source (2) | Source (3) | Source (4) | ||||
---|---|---|---|---|---|---|---|---|---|
Estimated | Injected | Estimated | Injected | Estimated | Injected | Estimated | Injected | ||
a | mas | ![]() |
976.23 | ![]() |
543 75 | ![]() |
331.66 | ![]() |
229.01 |
e | – | ![]() |
0.28 | ![]() |
0 15 | ![]() |
0.01 | ![]() |
0.0 |
i | deg | ![]() |
52.19 | ![]() |
50 45 | ![]() |
48.13 | ![]() |
45.33 |
t0 | yr | ![]() |
1958.90 | ![]() |
1986.02 | ![]() |
2004.52 | ![]() |
2014.27 |
ω | deg | ![]() |
146.12 | ![]() |
63 39 | ![]() |
134.21 | ![]() |
350.32 |
Ω | deg | ![]() |
298.99 | ![]() |
295.76 | ![]() |
299.11 | ![]() |
302.02 |
K (×104) | mas3 yr−2 | ![]() |
11.50 | ![]() |
11.50 | ![]() |
11.50 | ![]() |
11.50 |
RMSD (pix) | 0.12 | 0.34 | 0.61 | 0.20 | |||||
Min S/Nt,ℓ | 1.76 | 1.74 | 1.05 | 1.12 | 0.74 | 0.47 | 1.05 | 1.16 | |
Mean S/Nt,ℓ | 3.98 | 3.97 | 2.22 | 2.18 | 2.37 | 2.19 | 2.28 | 2.28 | |
Max S/Nt,ℓ | 7.67 | 7.69 | 3.50 | 3.29 | 3.65 | 3.64 | 3.28 | 3.30 | |
Multi-epoch S/N | 18.50 | 18.46 | 9.84 | 9.66 | 10.52 | 9.86 | 10.17 | 10.12 | |
Criterion C | 342.10 | 340.58 | 96.90 | 93.39 | 110.71 | 97.12 | 103.46 | 102.39 | |
Threshold ![]() |
48.3 | 48.3 | 48.3 | 48.3 |
Notes. Because of their degeneracy, any pair, (ω, Ω), is perfectly equivalent to (ω + π, Ω + π). For better interpretability, the epoch of periapsis passage t0 is shown instead of τ. The RMSD between the projected positions of the injected sources and the ones retrieved are computed with Eq. (32). The uncertainties were estimated via the perturbation method described in Sect. 3.3.1 with Np = 104. The central values are the optimal orbital elements found by PACOME and the lower and upper bounds correspond to the bounds of the 95% confidence interval. The corrected multi-epoch detection threshold (1 − ρ) associated to a confidence level of ρ = 2.33 × 10−12 is to compare to the criterion score
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