Table 3
Inferred system parameters.
Parameter | Units | Keplerian Prior | Keplerian Median and 68.3% CI | Dynamical Prior | Dynamical Median and 68.3% CI | Stable Median and 68.3% CI |
---|---|---|---|---|---|---|
Star | ||||||
Mass, M* | (M⊙) | N(0.519, 0.013) | 0.520 ± 0.013 | 0.519 ± 0.013 | ||
Radius, R* | N(0.517, 0.016) | 0.517 ± 0.016 | 0.516 ± 0.016 | |||
Mean density, ρ* | (g cm−3) | N(5.29, 0.53) | 5.36 ± 0.53 | |||
Surface gravity, log g | (cgs) | 4.727 ± 0.028 | 4.727 ± 0.029 | |||
Kipping (2013) q1 TESS | U(0, 1) | U(0, 1) | ||||
Kipping (2013) q2 TESS | U(0, 1) | U(0, 1) | ||||
Planet b | ||||||
Semi-major axis, a | (au) | 0.0317 ± 0.0014 | 0.03165 ± 0.00027 | 0.03165 ± 0.00027 | ||
Eccentricity, e | 0.18 ± 0.12 | 0.16 ± 0.11 | <0.32†, (0.15 ± 0.11) | |||
Argument of pericentre, ω | (°) | |||||
Inclination, i | (°) | S (0, 90) | ||||
Longitude of the ascending node, Ω | (°) | 180 (fixed at tref) | 180 (fixed at tref) | |||
Mean anomaly, M0 | ||||||
cos ω | U(−1, 1) | U(−1, 1) | ||||
sin ω | U(−1, 1) | 0.14 ± 0.32 | U(−1, 1) | |||
Mass ratio, Mp/M* | U(0, 1) | (19.3 ± 4.2) × 10-6 | (19.4 ± 4.1) × 10−6 | |||
Radius ratio, Rp/R* | U(0, 1) | |||||
Scaled semi-major axis, a/R* | 13.22 ± 0.45 | 13.16 ± 0.42 | 13.18 ± 0.42 | |||
Impact parameter, b | ||||||
Transit duration, T14 | (h) | 1.270 ± 0.022 | 1.281 ± 0.025 | 1.281 ± 0.024 | ||
Espinoza (2018) r1 | U(0, 1) | |||||
Espinoza (2018) r2 | U(0, 1) | |||||
T0 -2450 000 | (BJDTDB) | U(8370.417, 8370.420) | 8370.41849 ± 0.00030 | U(7370, 9370) | 8370.41847 ± 0.00034 | 8370.41849 ± 0.00034 |
Orbital period, P(P′) | (days) | U(2.85309, 2.85312) | 2.8531054 ± 0.0000023 | U(0, 1000) | ||
RV semi-amplitude, K (K′) | (m s−1) | U(0, 8) | 2.36 ± 0.52 | 2.37 ± 0.51 | 2.38 ± 0.51 | |
Mass, Mp | (ME) | 3.31 ± 0.73 | 3.33 ± 0.72 | 3.34 ± 0.72 | ||
Radius, Rp | 2.16 ± 0.10 | 2.13 ± 0.11 | 2.13 ± 0.11 | |||
Mean density, ρp | (g cm−3) | |||||
Surface gravity, log gp | (cgs) | |||||
Equilibrium temperature, Teq | (K) | 692 ± 18 | 693 ± 17 | 693 ± 18 | ||
Planet c | ||||||
Semi-major axis, a | (au) | 0.0860 ± 0.0039 | 0.08578 ± 0.00075 | 0.08575 ± 0.00074 | ||
Eccentricity, e | (°) | 0.17 ± 0.11 | <0.31†, (0.16 ± 0.11) | |||
Argument of pericentre, ω | (°) | |||||
Inclination, i | (°) | S (0, 180) | 85 ± 55 | 86 ± 46 | ||
Longitude of the ascending node, Ω | (°) | U(90, 270) | ||||
Mean anomaly, M0 | (°) | 68 ± 47 | 68 ± 51 | |||
cos ω | U (−1, 1) | U (−1, 1) | ||||
sin ω | U (−1, 1) | -0.02 ± 0.22 | U (−1, 1) | 0.00 ± 0.23 | 0.00 ± 0.22 | |
Mass ratio, Mp/M* | U(0, 1) | |||||
Scaled semi-major axis, a/R* | 35.8 ± 1.2 | 35.7 ± 1.1 | 35.7 ± 1.1 | |||
Impact parameter, b | ||||||
T0 -2450000 | (BJDTDB) | U(8367, 8376) | U(7370, 9370) | |||
Orbital period, P (P′’) | (days) | U(12.5, 12.9) | U(0, 1000) | |||
RV semi-amplitude, K (K′’) | (m s−1) | U (0, 20) | 6.23 ± 0.75 | 6.05 ± 0.69 | 6.01 ± 0.69 | |
Mass, Mp | (ME) | |||||
Mp sin i | (ME) | 14.3 ± 1.5 | 14.0 ± 1.6 | 13.9 ± 1.6 | ||
Equilibrium temperature, Teq | (K) | 420 ± 11 | 421 ± 11 | 421 ± 11 | ||
Mutual inclination, irel | ||||||
HARPS | ||||||
Systemic velocity, γ | (km s−1) | U (17.385, 17.435) | 17.4095 ± 0.0046 | U(−100, 100) | 17.4095 ± 0.0043 | 17.4095 ± 0.0041 |
Jitter | (m s−1) | J(0.01, 4) | U (0, 1000) | |||
QPC h1 | (m s−1) | J(0.01, 30) | J (0.01, 30) | |||
QPC h2 | (m s−1) | J(0.01, 30) | J (0.01, 30) | |||
QPC P | (days) | U (17, 19) | U (17, 19) | |||
QPC λ | (days) | U (1, 2000) | U (1, 2000) | |||
TESS | ||||||
Relative flux | (Relative flux) | U(0.9, 1.1) | 1.000003 ± 0.000023 | 1 000002 ± 0 000022 | ||
Jitter | (ppm) | J(1, 10000) | ||||
Timescale of the GP | (days) | J(0.001, 1000) | ||||
Amplitude of the GP | (ppm) | J(1, 106) |
Notes. The table lists the prior, posterior median, and 68.3% CI for the parameters of the Keplerian model (Sect. 4.2) and of the dynamical model, without and with the stability constraint (Sect. 4.3). For the dynamical model, the Jacobi orbital elements are given for the reference time tref = 2458370.418461 BJDTDB.† Upper limit, 95% confidence. The planetary equilibrium temperature is computed with Teff = 3556 ± 70 K and for zero albedo and full day-night heat redistribution. T0 is the time of conjunction. (M0 − E + e sin E) with . CODATA 2018: G = 6.674 30 × 10−11 m3 kg−1 s−2. IAU 2012: au = 149 597 870 700 m. IAU 2015: m, , m, , , , . N(µ,σ): Normal distribution with mean and standard deviation σ. U(a, b): a uniform distribution defined between a lower a and upper b limit. S (a, b): a sinusoidal distribution defined between a lower a and upper b limit. J(a, b): Jeffreys (or log-uniform) distribution defined between a lower a and upper b limit.
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