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Table A.2
Parameters probed by the MCMC used to fit the RV measurements of 55 Cnc.
| Param. | Units | Max(Like) | Med | Mod | Std | CI(15.85) | CI(84.15) | CI(2.275) | CI(97.725) | Prior |
|---|---|---|---|---|---|---|---|---|---|---|
| Likelihood | ||||||||||
| log(Post) | –2273.450488 | –2285.842126 | –2284.433522 | 4.255952 | –2290.966384 | –2281.311469 | –2297.110579 | –2277.307845 | ||
| log(Like) | –2291.046969 | –2302.472513 | –2302.414228 | 4.194558 | –2307.394292 | –2298.010475 | –2313.297187 | –2293.907193 | ||
| log(Prior) | 17.596481 | 16.873550 | 17.204741 | 0.721226 | 15.862038 | 17.365749 | 14.233444 | 17.547586 | ||
| M⋆ | (M⊙) | 0.892695 | 0.904364 | 0.906670 | 0.013292 | 0.889584 | 0.919407 | 0.874257 | 0.935560 |  |
| σHARPN | (m s−1) | 1.06 | 1.34 | 1.18 | 0.26 | 1.09 | 1.66 | 0.89 | 2.10 |  |
| σHARPS | (m s−1) | 0.42 | 0.67 | 0.46 | 0.39 | 0.26 | 1.13 | 0.03 | 1.80 |  |
| σHRS | (m s−1) | 2.28 | 3.52 | 3.62 | 0.68 | 2.72 | 4.21 | 1.52 | 4.87 |  |
| σKECK | (m s−1) | 2.91 | 3.35 | 3.30 | 0.21 | 3.12 | 3.59 | 2.86 | 3.85 |  |
| σLICK | (m s−1) | 5.44 | 5.81 | 5.76 | 0.37 | 5.36 | 6.22 | 4.93 | 6.58 |  |
| σSOPHIE | (m s−1) | 1.69 | 1.95 | 1.93 | 0.28 | 1.66 | 2.29 | 1.39 | 2.69 |  |
| σTULL | (m s−1) | 3.59 | 3.89 | 3.82 | 0.35 | 3.53 | 4.31 | 3.17 | 4.76 |  |
| σJIT | (m s−1) | 3.81 | 2.81 | 2.76 | 0.90 | 1.66 | 3.71 | 0.39 | 4.40 |  |
| γHARPN | (m s−1) | 27451.45 | 27451.91 | 27451.85 | 0.89 | 27450.84 | 27452.89 | 27449.86 | 27453.93 |  |
| γHARPS | (m s−1) | 27468.87 | 27469.02 | 27468.75 | 0.82 | 27468.13 | 27469.97 | 27467.21 | 27470.93 |  |
| γHRS | (m s−1) | 28396.92 | 28397.31 | 28397.27 | 0.79 | 28396.39 | 28398.21 | 28395.53 | 28399.10 |  |
| γKECK | (m s−1) | –40.91 | –40.89 | –40.95 | 0.40 | –41.34 | –40.42 | –41.75 | –39.92 |  |
| γLICK | (m s−1) | 3.43 | 3.74 | 3.60 | 0.41 | 3.28 | 4.22 | 2.83 | 4.72 |  |
| γSOPHIE | (m s−1) | 27437.78 | 27438.00 | 27437.85 | 0.81 | 27437.10 | 27438.96 | 27436.19 | 27439.84 |  |
| γTULL | (m s−1) | –22571.04 | –22571.01 | –22571.27 | 0.57 | –22571.66 | –22570.35 | –22572.30 | –22569.68 |  |
| log(P) | (d) | 1.165883 | 1.165885 | 1.165885 | 0.000002 | 1.165883 | 1.165887 | 1.165881 | 1.165889 |  |
| log(K) | (m s−1) | 1.85 | 1.85 | 1.85 | 0.00 | 1.85 | 1.85 | 1.85 | 1.86 |  |
 |
0.022977 | 0.031298 | 0.044307 | 0.031656 | –0.009855 | 0.064623 | –0.043345 | 0.086918 |  |
|
 |
–0.076941 | –0.006118 | –0.005375 | 0.030482 | –0.041314 | 0.030238 | –0.066334 | 0.058214 |  |
|
| λ0 | (deg) | 198.337280 | 198.236638 | 198.254369 | 0.170587 | 198.040883 | 198.429919 | 197.842096 | 198.617500 |  |
| log(P) | (d) | 1.647371 | 1.647372 | 1.647365 | 0.000036 | 1.647330 | 1.647413 | 1.647286 | 1.647457 |  |
| log(K) | (m s−1) | 0.99 | 1.00 | 0.99 | 0.01 | 0.99 | 1.00 | 0.98 | 1.01 |  |
 |
0.145067 | 0.139330 | 0.154716 | 0.082223 | 0.025951 | 0.214780 | –0.079089 | 0.266234 |  |
|
 |
–0.021607 | 0.007209 | 0.019499 | 0.083988 | –0.092205 | 0.104252 | –0.174251 | 0.175082 |  |
|
| λ0 | (deg) | 152.107645 | 152.036764 | 151.667729 | 1.009441 | 150.913959 | 153.195011 | 149.746100 | 154.276811 |  |
| log (P) | (d) | 2.414600 | 2.414770 | 2.414529 | 0.000433 | 2.414285 | 2.415259 | 2.413794 | 2.415791 |  |
| log (K) | (m s−1) | 0.73 | 0.71 | 0.71 | 0.02 | 0.69 | 0.73 | 0.66 | 0.75 |  |
 |
0.028362 | –0.029096 | –0.132560 | 0.133065 | –0.187318 | 0.130365 | –0.294743 | 0.249554 |  |
|
 |
–0.270494 | –0.225158 | –0.278934 | 0.113215 | –0.322547 | –0.067598 | –0.392342 | 0.091226 |  |
|
| λ0 | (deg) | 106.069275 | 102.615196 | 103.432101 | 2.715291 | 99.345207 | 105.648564 | 96.345607 | 108.304627 |  |
| log (P) | (d) | 3.580323 | 3.582340 | 3.581415 | 0.007485 | 3.573450 | 3.590936 | 3.565279 | 3.598119 |  |
| log (K) | (m s−1) | 1.18 | 1.18 | 1.19 | 0.05 | 1.13 | 1.22 | 1.06 | 1.27 |  |
 |
–0.391429 | –0.400855 | –0.384878 | 0.043763 | –0.455229 | –0.354370 | –0.499443 | –0.309570 |  |
|
 |
0.049300 | 0.038499 | 0.065933 | 0.094395 | –0.079834 | 0.137095 | –0.186755 | 0.227198 |  |
|
| λ0 | (deg) | 122.695667 | 124.709302 | 126.275021 | 5.071957 | 119.011467 | 130.603288 | 114.471907 | 137.366403 |  |
| log (P) | (d) | 3.749135 | 3.746185 | 3.745006 | 0.006227 | 3.739227 | 3.753435 | 3.733291 | 3.760178 |  |
| log (K) | (m s−1) | 1.58 | 1.59 | 1.59 | 0.01 | 1.57 | 1.60 | 1.56 | 1.61 |  |
 |
0.134776 | 0.128560 | 0.127138 | 0.043737 | 0.081188 | 0.180318 | 0.025802 | 0.223687 |  |
|
 |
–0.328459 | –0.334039 | –0.346717 | 0.031095 | –0.368411 | –0.298759 | –0.403605 | –0.261516 |  |
|
| λ0 | (deg) | 7.523549 | 8.373486 | 7.475054 | 3.442002 | 4.614703 | 12.050153 | 0.232590 | 15.802723 |  |
| P | (d) | 0.736546 | 0.736547 | 0.736547 | 0.000001 | 0.736546 | 0.736549 | 0.736545 | 0.736550 |  |
| log (K) | (m s−1) | 0.77 | 0.78 | 0.78 | 0.01 | 0.76 | 0.80 | 0.74 | 0.81 |  |
 |
0.065426 | 0.012710 | –0.019946 | 0.079210 | –0.083201 | 0.105674 | –0.160391 | 0.174811 |  |
|
 |
0.234745 | 0.192120 | 0.220349 | 0.093920 | 0.063752 | 0.268215 | –0.076741 | 0.331372 |  |
|
| TC | (d) | 55733.005597 | 55733.005980 | 55733.006299 | 0.001265 | 55733.004556 | 55733.007423 | 55733.003120 | 55733.008795 |  |
Notes.The maximum likelihood solution (Max(Like), the median (Med), mode (Mod), and standard deviation (Std) of the posterior distribution for each parameter is shown, as well as the 68.3% (CI(15.85),CI(84.15) and 95.45% (CI(2.275),CI(97.725) confidence intervals. The prior for each parameter can be of type:
: uniform,
: normal,
: split normal, or 
: truncated normal.
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