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Table E.2.
Estimates and credible intervals of the orbital parameters for circular orbital models and a noise model including a jitter and a red noise model with exponential decay.
| Parameter | ML fit | Posterior mean | Posterior median | 68.27% confidence interval | 95.45% confidence interval | 99.73% confidence interval |
|---|---|---|---|---|---|---|
| Linear parameters | ||||||
| offset | 13536.45 | 13536.91 | 13536.92 | [13536.30, 13537.53] | [13535.63, 13538.14] | [13534.93, 13538.81] |
| smoothed rhk | −1.323185 | −1.271674 | −1.270171 | [−1.676, −0.836] | [−2.135, −0.430] | [−2.62, 0.05] |
| Noise parameters | ||||||
| σW (d) | 0.03232 | 0.66044 | 0.64209 | [0.28, 0.93] | [0.08, 1.24] | [0.00, 1.53] |
| σR (d) | 11.40892 | 3.57813 | 3.56055 | [3.28, 3.82] | [3.04, 4.15] | [2.82, 4.54] |
| τ (d) | 4.28426 | 5.39636 | 5.17960 | [3.84, 6.23] | [3.06, 8.21] | [2.521, 11.38] |
| Planet b | ||||||
| P (d) | 2.178 | 2.178 | 2.178 | [2.17790, 2.17809] | [2.17780, 2.17818] | [2.17771, 2.17830] |
| K (m s−1) | 1.36626 | 1.05103 | 1.04994 | [0.86, 1.23] | [0.68, 1.43] | [0.49, 1.63] |
| λ0 (rad) | 1.574033 | 1.571026 | 1.571012 | [1.555, 1.585] | [1.541, 1.601] | [1.526, 1.615] |
 |
0.45803 | 0.09082 | 0.08526 | [−0.13, 0.29] | [−0.28, 0.49] | [−0.43, 0.62] |
 |
0.40728 | 0.02293 | 0.02150 | [−0.16, 0.22] | [−0.36, 0.39] | [−0.50, 0.55] |
| m sin i (M⊕) | 2.70 | 2.22 | 2.21 | [1.77, 2.61] | [1.38, 3.05] | [0.98, 3.48] |
| Density (ρ⊕) | 1.33 | 1.11 | 1.09 | [0.81, 1.32] | [0.62, 1.66] | [0.42, 2.05] |
| Planet c | ||||||
| P (d) | 3.4322 | 3.4320 | 3.432 | [3.43184, 3.43230] | [3.43160, 3.43253] | [3.4313, 3.4328] |
| K (m s−1) | 2.23060 | 2.26100 | 2.26101 | [2.06, 2.45] | [1.87, 2.66] | [1.65, 2.84] |
| λ0 (rad) | 1.31125 | 1.36244 | 1.36396 | [1.18, 1.54] | [0.99, 1.73] | [0.78, 1.92] |
 |
0.04091 | −0.01385 | −0.01286 | [−0.14, 0.11] | [−0.25, 0.22] | [−0.34, 0.32] |
 |
0.10077 | −0.00090 | −0.00090 | [−0.13, 0.12] | [−0.24 , 0.24] | [−0.34 , 0.35] |
| m sin i (M⊕) | 5.53 | 5.60 | 5.59 | [5.01, 6.20] | [4.45, 6.85] | [3.94, 7.48] |
| Planet d | ||||||
| P (d) | 5.1979112 | 5.1980814 | 5.1980803 | [5.1972, 5.1989] | [5.1964, 5.1997] | [5.1955, 5.2007] |
| K (m s−1) | 1.99999 | 1.90714 | 1.90756 | [1.68, 2.13] | [1.44, 2.36] | [1.21, 2.60] |
| λ0 (rad) | 4.53784 | 4.37415 | 4.37424 | [4.12, 4.65] | [3.83, 4.90] | [3.54, 5.17] |
 |
0.38891 | 0.11966 | 0.12116 | [−0.04, 0.29] | [−0.17, 0.41] | [−0.30, 0.51] |
 |
−0.08914 | −0.03209 | −0.03217 | [−0.18, 0.12] | [−0.32, 0.24] | [−0.42, 0.36] |
| m sin i (M⊕) | 5.62 | 5.41 | 5.39 | [4.70, 6.15] | [3.99, 6.89] | [3.35, 7.76] |
| Planet e | ||||||
| P (d) | 7.950 | 7.951 | 7.951 | [7.9489, 7.9532] | [7.9468, 7.9554] | [7.944, 7.957] |
| K (m s−1) | 2.01711 | 1.85725 | 1.85832 | [1.57, 2.12] | [1.27, 2.39] | [1.02, 2.71] |
| λ0 (rad) | 2.09952 | 2.05759 | 2.05296 | [1.75, 2.35] | [1.46, 2.67] | [1.13, 3.00] |
 |
−0.27297 | -0.07014 | −0.06581 | [−0.20, 0.09] | [−0.35, 0.20] | [−0.47, 0.31] |
 |
0.26144 | 0.02982 | 0.02877 | [−0.11, 0.17] | [−0.24, 0.30] | [−0.35, 0.42] |
| m sin i (M⊕) | 6.55 | 6.08 | 6.06 | [5.05, 7.02] | [4.07, 8.01] | [3.14, 9.17] |
| Planet f | ||||||
| P (d) | 12.022 | 12.028 | 12.028 | [12.019, 12.037] | [12.008, 12.046] | [11.999, 12.058] |
| K (m s−1) | 1.97486 | 1.63327 | 1.63426 | [1.29, 1.98] | [0.94, 2.30] | [0.63, 2.71] |
| λ0 (rad) | 3.35529 | 3.16016 | 3.15748 | [2.63, 3.67] | [2.05, 4.21] | [1.48, 4.92] |
 |
−0.07334 | 0.00713 | 0.00620 | [−0.13, 0.15] | [−0.27, 0.28] | [−0.38, 0.41] |
 |
0.19106 | 0.00505 | 0.00402 | [−0.14, 0.14] | [−0.27, 0.28] | [−0.40, 0.40] |
| m sin i (M⊕) | 7.43 | 6.14 | 6.12 | [4.77, 7.45] | [3.46 ,8.84] | [2.206, 10.38] |
| Strong planet candidate g | ||||||
| P (d) | 17.46 | 17.42 | 17.42 | [17.396, 17.455] | [17.36, 17.48] | [17.33, 17.51] |
| K (m s−1) | 1.34260 | 1.62597 | 1.63026 | [1.23, 2.02] | [0.82, 2.42] | [0.37, 2.85] |
| λ0 (rad) | 0.61538 | 1.64808 | 1.56750 | [0.79, 2.21] | [0.11, 2.99] | [8.61, 6.22] |
 |
−0.01637 | −0.00227 | −0.00157 | [−0.15, 0.14] | [−0.29, 0.28] | [−0.40, 0.42] |
 |
−0.06039 | −0.01280 | −0.01112 | [−0.15, 0.14] | [−0.30, 0.27] | [−0.43, 0.39] |
| m sin i (M⊕) | 5.73 | 6.91 | 6.91 | [5.15, 8.64] | [3.473, 10.52] | [1.55, 12.3] |
| Yearly signal (probably systematic) | ||||||
| P (d) | 364.4 | 365.0 | 365.0 | [364.06, 366.03] | [363.08, 367.03] | [362.13, 367.93] |
| K (m s−1) | 3.53665 | 3.50129 | 3.47300 | [2.66, 4.35] | [1.79, 5.26] | [0.83, 6.46] |
| λ0 (rad) | 2.71212 | 2.93677 | 2.91814 | [2.69, 3.12] | [2.48, 3.40] | [2.27, 3.82] |
 |
−0.03186 | −0.08448 | −0.08278 | [−0.30, 0.12] | [−0.48, 0.31] | [−0.61, 0.47] |
 |
−0.01764 | −0.02944 | −0.02962 | [−0.23, 0.16] | [−0.39, 0.34] | [−0.54, 0.48] |
| m sin i (M⊕) | 41.5 | 40.8 | 40.3 | [29.9, 50.0] | [20.4, 61.6] | [11.2, 76.0] |
Notes. We give three point estimates: the maximum likelihood, the posterior mean, and median. The credible intervals are given as the shortest intervals containing x% of the sample with x = 68.27, 95.45, and 99.73%.
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