Table 4
Instrumental, stellar, and planetary parameters derived from the joint analysis on the photometric and radial velocity data.
| Parameter | Results – this work | Prior (a) |
|---|---|---|
| Instrument parameters | ||
| Systemic velocity γRV,HARPS [m s−1] |  |
 [−2921.8, 130] |
| K2 jitter [ppm] |  |
 [1.9 × 10−6, 1.9 × 10−4] (b) |
| HARPS radial velocity jitter [m s−1] |  |
 [0.017, 17] (b) |
| CORALIE radial velocity jitter [m s−1] |  |
 [0.12, 120] (b) |
| ΔRV CORALIE to HARPS [m s−1] |  |
 [−111, 11] |
| Stellar parameters | ||
| Stellar density ρ* [g cm−3] |  |
 [0.2590, 0.0150] |
| Limb-darkening coefficient u1 |  |
 [0.5324, 0.0061] |
| Limb-darkening coefficient u2 |  |
 [0.1056, 0.0091] |
| HD 137496 b | ||
| Period Pb [days] |  |
 [0.09, 1400] |
| RV semi-amplitude Kb [m s−1] | 2.14 ± 0.29 |  [0.0, 50.0] |
| Radius ratio Rp,b∕R* |  |
 [0.0, 1.0] |
| Impact parameter bb |  |
 [0.0, 2.0] |
| Eccentricity eb | 0 | Fixed at 0 |
| Time of inferior conjunction tic,b [BJD-2 450 000] |  |
ϕ :  (c) |
| Transit depth [ppm] |  |
– |
| Transit duration Tb [h] |  |
– |
| Ingress to egress duration τb [h] |  |
– |
| Scaled semi-major axis ab∕R* | 3.70 ± 0.07 | – |
| Semi-major axis ab [AU] | 0.02732 ± 0.00019 | - |
| Inclination ib [°] |  |
– |
| Radius Rb [R⊕] |  |
– |
| Mass Mb [M⊕] | 4.04 ± 0.55 | – |
| Density ρb [g cm-3] |  |
– |
| Equilibrium temperature Teq,b [K] |  |
– |
| HD 137496 c | ||
| Period Pc [days] |  |
 [0.09, 1400] |
| RV semi-amplitude Kc [m s−1] |  |
 [0, 444] |
| Eccentricity ec | 0.477 ± 0.004 |  [0.867, 3.03] |
| Time of inferior conjunction tic, c [BJD- 2 450 000] | 8629.21 ± 0.41 | ϕ :  (c) |
| Argument of periastron [deg] ωc |  |
– |
| Semi-major axis ac [AU] |  |
– |
| Minimum mass Mc sin ic [MJup] | 7.66 ± 0.11 | – |
| Equilibrium Temperature Teq,c [K] | 370 ± 5 | – |
Notes. In the column on the right, we display our prior choices: 
– Uniform; 
– Gaussian; 
– Jeffreys;
– beta distribution. (a)For more information, see Appendix D. (b)The Gaussian prior distribution is truncated to only consider positive values. (c)We define ϕ the orbital phase of the time of inferior conjunction as ϕ = (tic – tref) / P, where tref is an arbitrarily chosen reference time. We then considered a uniform prior between 0 and 1 to ϕ. We chose tref to be 8039 and 8620 BJD-2 450 000 for planets b and c, respectively.
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