Table 10
Orbital characteristics of the best χ2 solution, recovered by simple least-squares fitting (first column) as well as LSMC fitting (second column) for GJ 758 B and statistical properties of the posterior distribution.
| Parameter | Best simple χ2 | Best LSMC | Probable MCMC | MCMC peak | 67% confidence | 95% confidence |
| solution | solution | solution | value | interval | interval | |
|
|
||||||
| a (AU) | 879.29 | 878.62 | 46.05 | 33.6 | [19.7–83.7] | [19.7–348.7] |
| a (arcsec) | 55.79 | 55.75 | 2.922 | 2.132 | [1.250–5.311] | [1.250–22.126] |
| q (AU) | 61.55 | 63.26 | 21.87 | 19.84 | [9.99–38.11] | [9.99–74.75] |
| e | 0.93 | 0.928 | 0.525 | 0.505 | [0.205–0.993] | [0.133–1.78] |
| i(°) | 67.37 | 68.08 | 46.05 | 56.63 | [43.6–70.3] | [25.0–77.0] |
| Ω(°) | −38.81 | −38.78 | −49.93 | −37.15 ± 180 | ... | ... |
| ω(°) | −73.67 | −73.98 | 4.90 | −155.47 ± 180 | ... | ... |
| tp (yr AD) | 2040.74 | 2040.98 | 2051.89 | 2039.3 | [2015.4–2051.4] | [1993.8–2059.7] |
| P (yr) | 26 073.26 | 26 046.36 | 312.48 | 128.3 | [57.6–502.0] | [57.6–4287.0] |
|
0.419 | 0.417 | 1.434 | ... | ... | ... |
Notes. In addition, we give an example for a probable orbit (orbital elements close to MCMC peak values) that was recovered by MCMC (third column). Note that Ω and ω are defined within a ±180° degeneracy, so that giving confidence intervals is meaningless. Peak and confidence intervals for a and P in the MCMC analysis are defined for bound orbits.
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