Table 2
Inferred system parameters.
| Parameter | MAP | 95% HDI | Median | Stellar models | |
|---|---|---|---|---|---|
| and 68.3% CI | median and 68.3% CI | ||||
| Star | |||||
| Stellar mass, M⋆ | [M⊙] | 1.581 | [0.612, 2.347] | 1.39 ± 0.48 | 1.438 ± 0.053 |
| Stellar radius, R⋆∙ | [ ] |
1.812 | [1.387, 2.237] | 1.80 ± 0.22 | 1.81 ± 0.12 |
| Stellar mean density, ρ⋆∙ | [g cm-3] | 0.3745 | [0.2321, 0.4539] | 0.335 ± 0.062 | |
| Surface gravity, logg | [cgs] | 4.1205 | [3.9231, 4.1934] | 4.072 ± 0.075 | 4.080 ± 0.046 |
| q1†,∙ | 0.2519 | [0.1464, 0.3647] | 0.245 ± 0.059 | ||
| q2†,∙ | 0.369 | [0.189, 0.645] | 0.40 ± 0.13 | ||
| Linear limb darkening, ua | 0.3704 | [0.2563, 0.5429] | 0.392 ± 0.074 | ||
| Quadratic darkening, ub | 0.131 | [−0.136, 0.351] | 0.10 ± 0.12 | ||
| Planet b | |||||
| Semi-major axis, ab | [au] | 0.3865 | [0.2931, 0.4489] | 0.371 ± 0.040 | 0.3745 ± 0.0046 |
| Eccentricity, eb | 0.8070 | [0.7857, 0.8462] | 0.817 ± 0.016 | ||
Inclination,  |
[°] | 87.372 | [85.560, 88.482] | 87.04 ± 0.72 | |
| Argument of pericentre, ωb | [°] | 95.23 | [89.65, 97.91] | 94.0 ± 2.2 | |
| Longitude of the ascending node, Ωb | [°] | 180* | |||
Mean anomaly,  |
[°] | 352.800 | [352.668, 353.158] | 352.90 ± 0.12 | |
Radius ratio,  |
0.063551 | [0.062505, 0.064722] | 0.06359 ± 0.00056 | ||
Mass ratio,  |
0.001852 | [0.001459, 0.002360] | 0.00186 ± 0.00025 | 0.00183 ± 0.00012 | |
| Scaled semi-major axis, ab∕R⋆ | 45.86 | [39.16, 49.05] | 44.2 ± 2.6 | ||
 - 2 450 000 |
[BJDTDB] | 4959.331882 | [4959.330706, 4959.332819] | 4959.33177 ± 0.00054 | |
 ∙ |
[d] | 69.79631 | [69.78350, 69.81399] | 69.7968 ± 0.0087 | 69.7960 ± 0.0042 |
 |
[m s−1] | 188.8 | [162.7, 209.1] | 186 ± 12 | |
 |
−0.0818 | [−0.1234, 0.0072] | −0.063 ± 0.035 | ||
 |
0.89461 | [0.88458, 0.91749] | 0.9007 ± 0.0086 | ||
| Planet mass, Mb | [MJ] | 3.068 | [1.584, 4.002] | 2.71 ± 0.66 | 2.77 ± 0.19 |
| Planet radius, Rb | [ ] |
1.121 | [0.857, 1.392] | 1.11 ± 0.14 | 1.120 ± 0.084 |
| Planet mean density, ρb | [g cm-3] | 2.702 | [1.443, 3.688] | 2.43 ± 0.62 | |
| Planet surface gravity, loggb | [cgs] | 3.7820 | [3.5999, 3.8628] | 3.731 ± 0.066 | |
| Planet c | |||||
| Semi-major axis, ac | [au] | 1.752 | [1.328, 2.037] | 1.68 ± 0.18 | 1.697 ± 0.020 |
| Eccentricity, ec | 0.17973 | [0.17631, 0.18257] | 0.1793 ± 0.0017 | ||
| Inclination, ic ∙ | [°] | 85.72 | [83.64, 89.74] | 87.0 ± 2.0 | |
| Argument of pericentre, ωc | [°] | 276.75 | [272.19, 279.03] | 275.7 ± 1.8 | |
| Longitude of the ascending node, Ωc ∙ | [°] | 184.77 | [170.98, 201.27] | 185.4 ± 7.6 | |
Mean anomaly,  |
[°] | 248.353 | [246.976, 249.188] | 248.11 ± 0.59 | 248.17 ± 0.43 |
| Mass ratio, Mc ∕M⋆∙ | 5.1297× 10−3 | [4.9673, 5.2235]× 10−3 | (5.092 ± 0.065)× 10−3 | ||
| Scaled semi-major axis, ac ∕R⋆ | 207.9 | [177.2, 221.8] | 200 ± 12 | ||
 ∙ - 2 450 000 |
[BJDTDB] | 5486.05 | [5479.20, 5498.80] | 5488.7 ± 5.2 | |
 ∙ |
[d] | 673.85 | [671.17, 675.06] | 673.3 ± 1.0 | 673.35 ± 0.84 |
 |
[m s−1] | 147.1 | [111.7, 170.5] | 140 ± 15 | 141.7 ± 1.8 |
 ∙ |
0.0498 | [0.0168, 0.0671] | 0.042 ± 0.013 | ||
 ∙ |
−0.42101 | [−0.42600, −0.41624] | −0.4213 ± 0.0026 | ||
| Planet mass, Mc | [MJ] | 8.50 | [3.28, 12.54] | 7.4 ± 2.6 | 7.65 ± 0.27 |
| Data | |||||
| Kepler long-cadence normalisation factor∙ | 1.00000671 | [0.99998568, 1.00001930] | 1.0000027 ± 0.0000086 | ||
| Kepler short-cadence normalisation factor∙ | 1.00000166 | [0.99998736, 1.00002187] | 1.0000046 ± 0.0000089 | ||
| Kepler long-cadence jitter∙ | 1.0363 | [0.9524, 1.1392] | 1.045 ± 0.048 | ||
| Kepler short-cadence jitter∙ | 1.00137 | [0.98934, 1.02462] | 1.0073 ± 0.0089 | ||
| HIRES jitter∙ | 4.07 | [3.33, 6.74] | 4.7 ± 1.0 | ||
| SOPHIE jitter∙ | 1.485 | [1.276, 1.987] | 1.61 ± 0.20 | ||
| HIRES offset∙ | [km s−1] | 0.0314 | [0.0005, 0.0576] | 0.029 ± 0.014 | |
| SOPHIE offset∙ | [km s−1] | 25.87572 | [25.86130, 25.88755] | 25.8741 ± 0.0065 | |
Notes. The table lists: MAP, 95% HDI, posterior median and 68.3% CI for the model-free photodynamical analysis. The last column lists the median and 68.3% CI for the parameters whose precision is improved by using theoretical stellar models. The astrocentric orbital elements are given for the reference time
tref = 2 454 958 BJDTDB. We use the nominal units established by the recent 2015 IAU B3 resolution on Recommended Nominal Conversion Constants for Selected Solar and Planetary Properties (Mamajek et al. 2015), which are listed in the table notes.
(∙) emcee jump parameter.
(†) Kipping (2013)
parametrisation for the limb-darkening coefficients to consider only physical values.
(*) Fixed at
tref. 
with
,
,
. CODATA 2014: 
= 6.674 08 × 10−11 m3 kg−1 s−2. IAU 2012: au = 149 597 870 700 m. IAU 2015: 
= 6.957 × 108 m,
= 1.327 124 4 × 1020 m3 s−2,
= 7.149 2 × 107 m,
= 1.266 865 3 × 1017 m3 s−2. M⊙ =
/
,
MJ
=
/
,
k2 =
/au3.
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