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Table 2

Kepler-39 system parameters.

Fitted system parameters Bouchy et al. (2011) This work (eccentric) This work (circular)

Orbital period P [days] 21.0874 ± 0.0002 21.087210 ± 0.000037 21.087212 ± 0.000030
Transit epoch T0 [BJDTDB − 2 454 900] 72.5959 ± 0.0006 1042.60708 ± 0.00024 1042.60707 ± 0.00021
Transit duration T14 [h] 6.02 ± 0.09 5.960 ± 0.020 5.960 ± 0.016
Radius ratio Rb/R 0.0911 ± 0.0006
Inclination i [deg] 89.07 ± 0.22
Limb-darkening coefficient q1
Limb-darkening coefficient q2
0 (fixed)
0 (fixed)
Orbital eccentricity e 0.122 ± 0.023 0.112 ± 0.057 0 (fixed)
Argument of periastron [deg] ω 90 (fixed)
Radial-velocity semi-amplitude K [ km s-1] 1.251 ± 0.030 1.257 ± 0.064 1.201 ± 0.050
Systemic velocity Vr [ km s-1] −0.063 ± 0.044
RV jitter [m s-1] sj
Derived transit parameters

a/R
Stellar density ρ [gcm-3]
Impact parameter b
Limb-darkening coefficient ua 0.303 ± 0.014 a 0.31 ± 0.07 0.32 ± 0.06
Limb-darkening coefficient ub 0.308 ± 0.005 a 0.17 ± 0.14 0.15 ± 0.11
Atmospheric parameters of the star

Effective temperature Teff[K] 6260 ± 140 6350 ± 100 6350 ± 100
Spectroscopic surface gravity log g [cgs] 4.1 ± 0.2 4.40 ± 0.15 4.40 ± 0.15
Derived surface gravity log g [cgs] 4.19 ± 0.07 4.25 ± 0.06 4.34 ± 0.02
Metallicity [Fe/H] [dex] –0.29 ± 0.10 0.10 ± 0.14 0.10 ± 0.14
Stellar rotational velocity Vsini [ km s-1] 16 ± 2.5 16 ± 2.5 16 ± 2.5
Spectral type F8IV F7V F7V
Stellar and planetary physical parameters

Stellar mass [M]
Stellar radius [R] 1.39 ± 0.11 1.40 ± 0.10 1.25 ± 0.03
Companion mass Mb [MJup] 18.0 ± 0.9 19.1 ± 1.0
Companion radius Rb [RJup] 1.11 ± 0.03
Companion density ρb [gcm-3]
Companion surface gravity log gb [cgs] 4.48 ± 0.09 4.51 ± 0.05 4.58 ± 0.03
Age t [Gyr] 5.1 ± 1.5
Orbital semi-major axis a [au] 0.155 ± 0.003 0.164 ± 0.003 0.162 ± 0.003
Equilibrium temperature Teq [K]b 905 ± 39 897 ± 29 853 ± 14

Notes.

(a)

The limb-darkening coefficients were allowed to vary within their 1σ errors related to the uncertainties on stellar atmospheric parameters.

(b)

Black-body equilibrium temperature assuming a null Bond albedo and uniform heat redistribution to the night side.

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