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Table 2

Planetary parameters of the Kepler-278 and Kepler-391 systems.

Parameter Kepler-278b Kepler-278c Kepler-391b Kepler-391c
Model parameters

Kepler long-cadence additional white noise level 2.495 ± 0.040 1.3993 ± 0.0095
Kepler short-cadence additional white noise level 1.1317 ± 0.0032 N/A
Stellar mean density, ρ [g cm−3] (a) 0.07237 ± 0.00096 0.0822
         
Linear limb darkening, ua 0.74 0.30
         
Quadratic limb darkening, ub −0.27 0.31
         
Scaled semi-major axis, aR 15.152 ± 0.067 21.541 ± 0.096 6.20 12.23
         
Eccentricity, e (b) 0.696 0.616 <0.46 (c) <0.27
         
Inclination, i [°] (d) 85.11 88.58 85.5 87.27
         
Argument of pericentre, ω [°] 21.1 ± 7.7 20.80 ± 7.9 103 126
Difference of the longitude of the ascending node, Ω1 − Ω2 [°] 10 0 ± 74
         
0.778 0.735 −0.06 ± 0.32 −0.07
         
0.295 ± 0.098 0.274 ± 0.093 0.35 0.16 ± 0.22
         
Mean anomaly, M0 11.2 340.7 ± 1.7 321 227 ± 63
         
Impact parameter, b 0.544 0.27 0.38 0.561
         
Epoch of transit, T0 [BJDTDB ] 2 455 695.3727 2 455 700.4118 ± 0.0052 2 455 690.3959 2 455 696.9123
         
Period, P [days] (e) 30.1556 51.111 7.4175 20.501
         
Radius ratio, Rp /R 0.01266 0.01046 ± 0.00025 0.00795 0.00915 ± 0.00034
         
Mass ratio, Mp /M 0.000142 0.000087 <0.0026 <0.0036
         
Planet mean density, ρp [g cm−3 ] 5.0 5.5 <380 <400

Derived properties

Semi-major axis, a [AU] 0.202 ± 0.005 0.287 ± 0.007 0.083 0.164
Radius, Rp [R ] 3.955 ± 0.080 3.268 ± 0.067 2.50 ± 0.29 2.88 ± 0.33
Mass, Mp [M ] 56 34.9 <1100 < 450
Incident flux, Sinc [S ] 110 ± 14 54.3 ± 7.2 690 179
Equilibrium temperature, Teq [K] (f) 586 ± 19 492 ± 16 930 662
Semiamplitude, K [m s −1 ] 14.0 6.7 <340 <93

Notes. (a) For Kepler-278 we used as prior the stellar density derived from asteroseismology by H13 and the one determined from stellar models in Sect. 3.3 for Kepler-391. (b)The orbital parameters correspond to Jacobi elements computed at the reference time tref = 2455695.37632 BJDTBD for Kepler-278 and at tref = 2455696.9123 BJDTBD for Kepler-391. (c) All upper limits correspond to the 95% confidence interval. (d)The prior for the inclination of planets b is uniform between [0, 180]°, and [0, 90]° for planets c. The value for the inclination in the table for planets b is reflected with respect to i = 90°, the supplementary angle is equally probable. (e)Defined as . (f) Calculated with Eq. (4) from Johnson et al. (2017) assuming a Bond albedo α of 0.3.

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