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Table 3

Kepler-77 system parameters.

Model parameters
Planet orbital period Porb [days] 3.57878087 ± 0.00000023
Planetary transit epoch Tc [HJD −2 450 000] 5095.865727 ± 0.000029
Planetary transit duration T14 [days] 0.12224 ± 0.00014
Planet-to-star area ratio 0.009849 ± 0.000051
Impact parameter b 0.341 ± 0.017
Linear limb-darkening coefficient u1 0.505 ± 0.015
Quadratic limb-darkening coefficient u2 0.139 ± 0.032
Kepler LC data scatter σLC [ppm] 378.1 ± 3.8
Kepler SC cadence data σSC [ppm] 1397.5 ± 3.6
Radial velocity semi-amplitude K [ m s-1] 59.2 ± 4.3
Systemic velocity (Sandiford) Vγ   Sand [ km s-1] −24.7843 ± 0.0120
Systemic velocity (FIES) Vγ   FIES [ km s-1] −24.7567 ± 0.0035
Derived parameters
Planet-to-star radius ratio Rp/R⋆ 0.09924 ± 0.00026
Scaled semi-major axis of the planetary orbit ap/R⋆ 9.764 ± 0.055
Semi-major axis of the planetary orbit ap [AU] 0.04501 ± 0.00063
Orbital inclination angle ip [degree] 88.00 ± 0.11
Orbital eccentricity e 0 (fixed)
Ingress – egress duration T12 = T34 0.02478 ± 0.00036
Bulk stellar density ρ⋆ [ g cm-3] 1.365 ± 0.023
Stellar fundamental parameters
Effective temperature Teff [K] 5520 ± 60
Surface gravitya log g [dex] 4.40 ± 0.10
Surface gravityb log g [dex] 4.42 ± 0.01
Metallicity [M/H] [dex] 0.20 ± 0.05
Microturbulent velocitydvmicro [ km s-1] 0.9 ± 0.1
Macroturbulent velocitydvmacro [ km s-1] 1.8 ± 0.3
Projected stellar rotational velocity v sin i⋆ [ km s-1] 1.5 ± 1.0
Spectral typec G5 V
Star mass M⋆ [M⊙] 0.95 ± 0.04
Star radius R⋆ [R⊙] 0.99 ± 0.02
Star age t [Gyr] 7.5 ± 2.0
Star rotation period Prot [days] 36 ± 6
Interstellar extinction AV [mag] 0.08 ± 0.04
Distance of the system d [pc] 570 ± 70
Planetary fundamental parameters
Planet masseMp [MJup] 0.430 ± 0.032
Planet radiuseRp [RJup] 0.960 ± 0.016
Planet density ρp [ g cm-3] 0.603 ± 0.055
Equilibrium temperaturefTeq [K]
Geometric albedo Ag ≤0.087 ± 0.008
Bond albedo AB ≤0.058 ± 0.006

Notes.

(a)

Obtained from the spectroscopic analysis.

(b)

Obtained from Teff, [M/H], and ρ⋆, along with the Pisa Stellar Evolution Data Base for low-mass stars.

(c)

With an accuracy of ± 1 sub-class.

(d)

Using the calibration equations of Bruntt et al. (2010).

(e)

Radius and mass of Jupiter taken as 7.1492 × 109 cm and 1.89896 × 1030 g, respectively.

(f)

Assuming AB ≤ 0.058 ± 0.006 and heat redistribution factor between 1/4 and 2/3.

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