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Table B.1
Priors and parameters probed with the MCMC.
| Param. | Units | Max (Like) | Med | Mod | Std | CI(15.85) | CI(84.15) | CI(2.275) | CI(97.725) | Prior |
|---|---|---|---|---|---|---|---|---|---|---|
| Likelihood | ||||||||||
| log Posterior | -711.66 | -720.26 | -720.53 | 2.91 | -723.87 | -717.32 | -728.22 | -714.93 | ||
| log Likelihood | -710.25 | -718.70 | -718.27 | 2.75 | -722.13 | -715.95 | -726.28 | -713.73 | ||
| log Prior | -1.42 | -1.30 | -0.99 | 0.92 | -2.57 | -0.57 | -4.33 | -0.21 | ||
| External priors | ||||||||||
| π | [mas] | 24.094 | 23.938 | 23.807 | 0.433 | 23.454 | 24.440 | 22.976 | 24.955 |  |
| MA | [M⊙] | 1.132 | 1.050 | 1.047 | 0.063 | 0.980 | 1.125 | 0.910 | 1.196 |  |
| RV offsets | ||||||||||
| γ(HIRES) | [ms−1] | -58.0 | -78.9 | -79.5 | 46.7 | -130.6 | -23.2 | -180.8 | 25.4 | U(−500, +500) |
| ΔV (CORAV EL −HIRES) | [ms−1] | 4727 | 4822 | 4823 | 124 | 4682 | 4965 | 4542 | 5106 | U(−4500, +5500) |
| ΔV (C98 −HIRES) | [ms−1] | 4974.79 | 4974.93 | 4974.78 | 1.76 | 4973.04 | 4977.01 | 4971.25 | 4979.41 | U(−4500, +5500) |
| ΔV (C07 −HIRES) | [ms−1] | 4973.50 | 4972.78 | 4972.91 | 1.44 | 4971.06 | 4974.32 | 4969.11 | 4975.71 | U(−4500, +5500) |
| ΔV (C14 −HIRES) | [ms−1] | 4989.71 | 4987.44 | 4987.91 | 2.28 | 4984.71 | 4989.89 | 4981.82 | 4992.11 | U(−4500, +5500) |
| Nuisance parameters | ||||||||||
| s(CORAV EL) | [ms−1] | 84 | 176 | 16 | 105 | 55 | 314 | 8 | 385 | U(−500, +500) |
| s(C98) | [ms−1] | 5.58 | 6.10 | 6.05 | 0.68 | 5.36 | 6.90 | 4.69 | 7.79 | U(−30, +30) |
| s(HIRES) | [ms−1] | 2.65 | 3.94 | 3.49 | 1.16 | 2.83 | 5.43 | 2.00 | 7.33 | U(−30, +30) |
| s(C07) | [ms−1] | 6.84 | 6.64 | 6.50 | 0.61 | 5.97 | 7.36 | 5.37 | 8.16 | U(−30, +30) |
| s(C14) | [ms−1] | 3.09 | 3.35 | 3.33 | 0.48 | 2.81 | 3.91 | 2.30 | 4.51 | U(−30, +30) |
| HD4113Ab | ||||||||||
| log(P) | log10 ([day]) | 2.721476 | 2.721468 | 2.721469 | 0.000010 | 2.721456 | 2.721480 | 2.721445 | 2.721492 | U(0, +10) |
| log (K) | log10 ([ms−1]) | 1.9504 | 1.9515 | 1.9503 | 0.0038 | 1.9473 | 1.9559 | 1.9429 | 1.9603 | U(−10, +10) |
| e | 0.9007 | 0.9001 | 0.8999 | 0.0016 | 0.8983 | 0.9019 | 0.8965 | 0.9037 | U(0, 0.985) | |
| ω | [deg] | -48.64 | -48.40 | -48.45 | 0.72 | -49.23 | -47.58 | -50.05 | -46.79 | U(0, 360) |
| M0 | [deg] | 97.602 | 97.585 | 97.575 | 0.051 | 97.527 | 97.643 | 97.471 | 97.703 | U(0, 360) |
| P | [day] | 526.594 | 526.584 | 526.586 | 0.013 | 526.570 | 526.599 | 526.556 | 526.613 | - |
| K | [ms−1] | 89.21 | 89.43 | 89.16 | 0.78 | 88.57 | 90.34 | 87.68 | 91.26 | - |
| Ar | [AU] | 1.33 | 1.298 | 1.298 | 0.026 | 1.268 | 1.328 | 1.238 | 1.355 | - |
| m.sin i | [MJUP] | 1.674 | 1.602 | 1.602 | 0.066 | 1.527 | 1.678 | 1.452 | 1.750 | - |
| Tp | [day] | 55642.768 | 55642.740 | 55642.738 | 0.076 | 55642.655 | 55642.827 | 55642.571 | 55642.916 | - |
| λ0 | [deg] | 48.97 | 49.19 | 49.10 | 0.69 | 48.40 | 49.97 | 47.61 | 50.72 | - |
| HD4113C | ||||||||||
| log(P) | log10 ([day]) | 4.587 | 4.582 | 4.539 | 0.084 | 4.501 | 4.689 | 4.440 | 4.819 | U(0, +10) |
| log (K) | log10 ([ms−1]) | 2.539 | 2.589 | 2.581 | 0.038 | 2.549 | 2.634 | 2.513 | 2.685 | U(0, +10) |
 |
-0.564 | -0.573 | -0.580 | 0.055 | -0.633 | -0.507 | -0.689 | -0.448 | U(−1, +1) | |
 |
-0.25 | -0.21 | -0.21 | 0.10 | -0.32 | -0.08 | -0.40 | 0.038 | U(−1, +1) | |
| TRvmin | [day] | 47614 | 47179 | 47256 | 475 | 46585 | 47661 | 45883 | 48043 | U(45000, 80000) |
| i | [deg] | 91.3 | 89.1 | 88.7 | 10.6 | 77.1 | 101.3 | 65.2 | 112.9 | U(3, 177) |
| Ω | [deg] | 40.5 | 41.8 | 42.8 | 6.4 | 34.6 | 49.0 | 27.3 | 56.5 | U(0, 360) |
| P | [yr] | 105 | 105 | 92 | 22 | 87 | 134 | 75 | 180 | - |
| K | [m/s−1] | 346 | 388 | 379 | 34 | 354 | 431 | 326 | 484 | - |
| Ar | [AU] | 23.7 | 23.0 | 21.1 | 3.1 | 20.3 | 27.1 | 18.5 | 33.2 | - |
| MC. sin i | [MJ] | 59.7 | 64.4 | 63.5 | 4.2 | 59.8 | 69.4 | 55.8 | 74.8 | - |
| MC | [MJ] | 59.8 | 65.8 | 64.7 | 4.2 | 61.4 | 70.7 | 57.4 | 76.8 | U(0, MA∕2) |
| e | 0.380 | 0.377 | 0.364 | 0.063 | 0.315 | 0.458 | 0.260 | 0.543 | U(0, 0.985) | |
| ω | [deg] | 203.9 | 200.3 | 203.9 | 9.9 | 188.1 | 210.6 | 176.4 | 219.5 | - |
| M0 | [deg] | 63 | 69 | 55 | 18. | 50 | 92 | 36 | 113 | - |
| T0 | [day] | 48695 | 48127 | 48370 | 652 | 47327 | 48818 | 46518 | 49384 | - |
| λ0 | [deg] | -52 | -47 | -43 | 14 | -64 | -33 | -80 | -20 | - |
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