Open Access
Table A.4
Parameters used in the analysis.
| Parameter | Prior | Posterior | |
|---|---|---|---|
| Dartmouth | PARSEC | ||
| (adopted) | |||
| Stellar parameters | |||
| Effective temperature Teff [K] |  |
 |
 |
| Surface gravity log g [cgs] |  |
 |
 |
| Metallicity [M/H] [dex] |  |
 |
 |
| Distance to Earth D [pc] |  |
 |
 |
| Interstellar extinction E(B− V) [mag] |  |
 |
 |
| Systemic radial velocity γ [km s−1 ] |  |
 |
 |
| Linear limb-darkening coefficient ua | (Derived) |  |
 |
| Quadratic limb-darkening coefficient ub | (Derived) |  |
 |
| Stellar density ρ⋆ ∕ρ⊙ | (Derived) |  |
 |
| Stellar mass M⋆ [M⊙ ] | (Derived) |  |
 |
| Stellar radius R⋆ [R⊙ ] | (Derived) |  |
 |
| Stellar age τ [Gyr] | (Derived) |  |
 |
| Planet b parameters | |||
| Orbital period Pb [d] |  |
 |
 |
| Transit epoch T0,b [BJD - 2 450 000] |  |
 |
 |
| Radial velocity semi-amplitude Kb [km s−1 ] |  |
 |
 |
| Orbital inclination ib [°] |  |
 |
 |
| Planet-to-star radius ratio kb |  |
 |
 |
| Orbital eccentricity eb |  |
 |
 |
| Argument of periastron ωb [°] |  |
 |
 |
| System scale ab ∕R⋆ | (Derived) |  |
 |
| Impact parameter bb | (Derived) |  |
 |
| Transit duration T14,b [h] | (Derived) |  |
 |
| Semi-major axis ab [AU] | (Derived) |  |
 |
| Planet mass Mb [M⊕ ] | (Derived) |  |
 |
| Planet radius Rb [R⊕ ] | (Derived) |  |
 |
| Planet bulk density ρb [g cm−3] | (Derived) |  |
 |
| Planet c parameters | |||
| Orbital period Pc [d] |  |
 |
 |
| Transit epoch T0,c [BJD - 2 450 000] |  |
 |
 |
| Radial velocity semi-amplitude Kc [km s−1 ] |  |
 |
 |
| Orbital inclination ic [°] |  |
 |
 |
| Planet-to-star radius ratio kc |  |
 |
 |
| Orbital eccentricity ec |  |
 |
 |
| Argument of periastron ωc [°] |  |
 |
 |
| System scale ac ∕R⋆ | (Derived) |  |
 |
| Impact parameter bc | (Derived) |  |
 |
| Transit duration14,c [h] | (Derived) |  |
 |
| Semi-major axis ac [AU] | (Derived) |  |
 |
| Planet mass Mc [M⊕ ] | (Derived) |  |
 |
| Planet radius Rc [R⊕ ] | (Derived) |  |
 |
| Planet bulk density ρc [g cm−3] | (Derived) |  |
 |
| Planet d parameters | |||
| Orbital period Pd [d] |  |
 |
 |
| Transit epoch T0,d [BJD - 2 450 000] |  |
 |
 |
| Radial velocity semi-amplitude Kd [km s−1 ] |  |
0.00303 ± 0.00052 | 0.00303 ± 0.00051 |
| Orbital inclination id [°] |  |
 |
 |
| Planet-to-star radius ratio kd |  |
 |
 |
| Orbital eccentricity ed |  |
 |
 |
| Argument of periastron ωd [°] |  |
 |
 |
| System scale ad ∕R⋆ | (Derived) |  |
 |
| Impact parameter bd | (Derived) |  |
 |
| Transit duration T14,d [h] | (Derived) |  |
 |
| Semi-major axis ad [AU] | (Derived) |  |
 |
| Planet mass Md [M⊕ ] | (Derived) |  |
 |
| Planet radius Rd [R⊕ ] | (Derived) |  |
 |
| Planet bulk density ρd [g cm−3] | (Derived) |  |
 |
| Planet e parameters | |||
| Orbital period Pe [d] |  |
 |
 |
| Transit epoch T0,e [BJD - 2 450 000] |  |
 |
 |
| Radial velocity semi-amplitude Ke [km s−1 ] |  |
 |
 |
| Orbital inclination ie [°] |  |
 |
 |
| Planet-to-star radius ratio ke |  |
 |
 |
| Orbital eccentricity ee |  |
 |
 |
| Argument of periastron ωe [°] |  |
 |
 |
| System scale ae ∕R⋆ | (Derived) |  |
 |
| Impact parameter be | (Derived) |  |
 |
| Transit duration T14,e [h] | (Derived) | 2.97 ± 0.05 | 2.97 ± 0.05 |
| Semi-major axis ae [AU] | (Derived) |  |
 |
| Planet mass Me [M⊕ ] | (Derived) |  |
 |
| Planet radius Re [R⊕ ] | (Derived) |  |
 |
| Planet bulk density ρe [g cm−3] | (Derived) |  |
 |
| Planet f parameters | |||
| Orbital period Pf [d] |  |
 |
 |
| Transit epoch T0,f [BJD - 2 450 000] |  |
 |
 |
| Radial velocity semi-amplitude Kf [km s−1 ] |  |
 |
 |
| Orbital inclination if [°] |  |
 |
 |
| Planet-to-star radius ratio kf |  |
 |
 |
| Orbital eccentricity ef |  |
 |
 |
| Argument of periastron ωf [°] |  |
 |
 |
| System scale af ∕R⋆ | (Derived) |  |
 |
| Impact parameter bf | (Derived) |  |
 |
| Transit duration T14,f [h] | (Derived) | 3.20 ± 0.08 | 3.20 ± 0.08 |
| Semi-major axis af [AU] | (Derived) |  |
 |
| Planet mass Mf [M⊕ ] | (Derived) |  |
 |
| Planet radius Rf [R⊕ ] | (Derived) |  |
 |
| Planet bulk density ρf [g cm−3] | (Derived) |  |
 |
| Planet g parameters | |||
| Orbital period Pg [d] |  |
 |
 |
| Transit epoch T0,g [BJD - 2 450 000] |  |
 |
 |
| Radial velocity semi-amplitude Kg [km s−1 ] |  |
 |
 |
| Orbital inclination ig [°] |  |
 |
 |
| Planet-to-star radius ratio kg |  |
 |
 |
| Orbital eccentricity eg |  |
 |
 |
| Argument of periastron ωg [°] |  |
 |
 |
| System scale ag ∕R⋆ | (Derived) |  |
 |
| Impact parameter bg | (Derived) |  |
 |
| Transit duration T14,g [h] | (Derived) |  |
 |
| Semi-major axis ag [AU] | (Derived) |  |
 |
| Planet mass Mg [M⊕ ] | (Derived) |  |
 |
| Planet radius Rg [R⊕ ] | (Derived) |  |
 |
| Planet bulk density ρg [g cm−3] | (Derived) |  |
 |
| Instrument-related parameters | |||
| HARPS jitter σj, RV [km s−1 ] |  |
 |
 |
| K2 contamination [%] |  |
 |
 |
| K2 jitter σj, K2 [ppm] |  |
185.8 ± 2.6 | 186.0 ± 2.6 |
| K2 out-of-transit flux |  |
 |
 |
| SED jitter [mag] |  |
 |
 |
| Gaussian process hyperparameters | |||
| Radial-velocities (joint analysis) | |||
| A2 [m s−1 ] |  |
 |
 |
| λ1 [d] |  |
 |
 |
| λ2 |  |
1.88 ± 0.79 | 1.72 ± 0.88 |
| Prot [d] |  |
25.5 ± 1.7 |  |
| Photometry (learning on the light curve for activity filtering) | |||
| A1 |  |
0.00293 ± 0.00032 | |
| l[d] |  |
1.444 ± 0.056 | |
| Photometry (period learning on the light curve) | |||
| A2 |  |
0.00315 ± 0.00044 | |
| λ1 [d] |  |
 |
|
| λ2 |  |
 |
|
| Prot [d] |  |
 |
|
| Full width half maximum (period learning on the FWHM time series) | |||
| A2 [km s−1 ] |  |
 |
|
| λ1 [d] |  |
 |
|
| λ2 |  |
 |
|
| Prot [d] |  |
 |
|
| Bisector inverse slope (period learning on the BIS time series) | |||
| A2 [km s−1 ] |  |
 |
|
| λ1 [d] |  |
 |
|
| λ2 |  |
453 ± 380 | |
| Prot [d] |  |
22 ± 13 | |
| Hα index (period learning on the Hα index time series) | |||
| A2 |  |
 |
|
| λ1 [d] |  |
737 ± 260 | |
| λ2 |  |
 |
|
| Prot [d] |  |
 |
|
| Na I D index (period learning on the Na I D index time series) | |||
| A2 |  |
 |
|
| λ1 [d] |  |
10.8 ± 2.7 | |
| λ2 |  |
435 ± 390 | |
| Prot [d] |  |
22 ± 12 | |
| SMW index (period learning on the SMW index time series) | |||
| A2 |  |
 |
|
| λ1 [d] |  |
7.7 ± 1.7 | |
| λ2 |  |
482 ± 360 | |
| Prot [d] |  |
23 ± 12 | |
Notes. The respective priors are provided together with the posteriors for the Dartmouth and PARSEC stellar evolution tracks. The posterior values represent the median and 68.3% credible interval. Derived values that might be useful for follow-up work are also reported.
: normal distribution with mean μ and width σ2.
: uniform distribution between a and b.
: sine distribution between a and b.
: truncated normal distribution with mean μ and width σ2, between a and b.
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