Table A.2
System parameters of K2-138 obtained from PASTIS.
| Parameter | ||||||
|---|---|---|---|---|---|---|
| Stellar parameters | ||||||
| Effective temperature Teff [K] |  |
|||||
| Surface gravity log g [cgs] |  |
|||||
| Metallicity [M/H] [dex] | 0.14 ± 0.04 | |||||
| Distance to Earth D [pc] |  |
|||||
| Extinction E(B−V) [mag] |  |
|||||
| Systemic RV γ [km s−1] |  |
|||||
| Stellar density ρ⋆∕ρ⊙ |  |
|||||
| Stellar mass M⋆ [M⊙] | 0.93 ± 0.02 | |||||
| Stellar radius R⋆ [R⊙] |  |
|||||
| Stellar age τ [Gyr] |  |
|||||
| Limb-darkening ua |  |
|||||
| Limb-darkening ub |  |
|||||
| Planet parameters | Planet b | Planet c | Planet d | Planet e | Planet f | Planet g |
| Orbital period P [d] | 2.35309 ± 0.00022 |  |
5.40479 ± 0.00021 |  |
 |
 |
| Transit epoch T0 [BJD - 2 457 700] |  |
 |
 |
 |
 |
 |
| RV semi-amplitude K [km s−1] | 0.00156 ± 0.00053 |  |
0.00303 ± 0.00052 | 0.00431 ± 0.00067 |  |
 |
| [0.000153, 0.003060] | [0.001349, 0.004154] | [0.001585, 0.004314] | [0.002296, 0.006098] | <0.002392 | <0.004539 | |
| Orbital inclination i [°] |  |
88.1 ± 0.7 | 89.0 ± 0.6 | 88.6 ± 0.3 | 88.8 ± 0.2 |  |
| Planet-to-star radius ratio k |  |
 |
 |
 |
 |
 |
| Orbital eccentricity e |  |
 |
 |
 |
 |
 |
| <0.1887 | <0.1917 | <0.1441 | <0.1829 | <0.2098 | <0.2256 | |
| Argument of periastron ω [°] |  |
 |
 |
 |
 |
 |
| System scale ab∕R⋆ |  |
 |
 |
 |
 |
 |
| Impact parameter b |  |
 |
 |
 |
 |
 |
| Transit duration T14 [h] |  |
 |
 |
 |
 |
 |
| Semi-major axis a [AU] |  |
 |
 |
 |
 |
 |
| Planet mass M [M⊕] | 3.1 ± 1.1 |  |
 |
13.0 ± 2.0 |  |
 |
| [0.29, 5.84] | [3.24, 9.44] | [4.14, 11.29] | [7.86, 18.76] | <8.69 | <25.47 | |
| Planet radius R [R⊕] |  |
 |
 |
 |
 |
 |
| Planet bulk density ρ [g cm−3] |  |
 |
 |
 |
 |
 |
| [0.30, 10.61] | [1.347, 4.611] | [1.605, 4.960] | [0.986, 2.930] | <2.068 | <5.056 | |
| Mean equilibrium temperature Teq [K] |  |
 |
 |
 |
 |
 |
| Day-side temperature Teq, d [K] |  |
 |
 |
 |
 |
 |
Notes. Stellar parameters given here were derived as described in Sect. 3.1 and are not from the spectral analysis. For the RV semi-amplitude, orbital eccentricity, planet mass and planet bulk density, the 99% credible intervals are given on the second lines. We assumed R⊙ = 695 508 km, M⊙ = 1.98842 × 1030 kg, R⊕ = 6 378 137 m, M⊕ = 5.9736 × 1024 kg and 1 AU = 149 597 870.7 km. The temperatures were derived assuming a zero albedo. The day-side temperature was computed assuming tidally synchronised rotation.
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