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Table 3

Median and 1σ limits of the marginalized a posteriori probability distributions for the jump and system parameters from our global MCMC analysis of Spitzer and TRAPPIST photometry (Sect. 3).

MCMC 1 MCMC 2 MCMC 3
e = 0 e ≥ 0 e = 0, LD free

Jump parameters
M [M] 0.176 ± 0.009 (p) 0.176 ± 0.009 (p) 0.176 ± 0.009 (p)
Teff [K] 3250 ± 100 (p) 3250 ± 100 (p) 3250 ± 100 (p)
[Fe/H] [dex] 0.1 ± 0.1 (p) 0.1 ± 0.1 (p) 0.1 ± 0.1 (p)
dF3.6  μm [%] 1.3545 ± 0.0085 1.3521 ± 0.0083 1.342 ± 0.015
dF4.5  μm [%] 1.3676 ± 0.0039 1.3673 ± 0.0039 1.365 ± 0.011
dFI + z [%] 1.377 ± 0.020 1.376 ± 0.021 1.385 ± 0.026
dFocc,3.6  μm [ppm]
<205 (99.7% confidence) <585 (99.7% confidence) <184 (99.7% confidence)
dFocc,4.5  μm [ppm] 70 ± 35 67 ± 35
<190 (99.7% confidence) <158 (99.7% confidence) <177 (99.7% confidence)
A3.6  μm [ppm]
<68 (99.7% confidence) <166 (99.7% confidence) <78 (99.7% confidence)
O3.6  μm [deg]
A4.5  μm [ppm]
<68 (99.7% confidence) <68 (99.7% confidence) <73 (99.7% confidence)
O4.5  μm [deg]
b [R] 0.385 ± 0.022 0.367 ± 0.032
W [min] 52.52 ± 0.14 52.52 ± 0.13 52.45 ± 0.15
T0 [BJDTDB] 2   454   980.74900 ± 0.00010 2   454   980.74901 ± 0.00010 2   454   980.74898 ± 0.00008
P [d] 1.58040417 ± 0.00000022 1.58040415 ± 0.00000020 1.58040421 ± 0.00000018
0 (fixed) −0.05 ± 0.10 0 (fixed)
0 (fixed) −0.13 ± 0.21 0 (fixed)
c1(3.6  μm) 0.143 ± 0.010 0.143 ± 0.010
c2(3.6  μm) −0.392 ± 0.010 −0.391 ± 0.010 −0.77 ± 0.54
c1(4.5  μm) 0.189 ± 0.010 0.189 ± 0.010 0.258 ± 0.039
c2(4.5  μm) −0.3999 ± 0.0070 −0.3995 ± 0.0070
c1(I + z) 0.749 ± 0.063 0.753 ± 0.068 0.87 ± 0.11
c2(I + z) −0.53 ± 0.14 −0.54 ± 0.15

Stellar parameters
R [R] 0.2213 ± 0.0043 0.2198 ± 0.0045
Luminosity L [R]
Density ρ [ρ] 16.25 ± 0.46 16.53 ± 0.57
Surface gravity log g [cgs] 4.994 ± 0.012 4.999 ± 0.014
u1(3.6  μm) −0.0210 ± 0.0052 (p) −0.0209 ± 0.0053 (p)
u2(3.6  μm) 0.1852 ± 0.0050 (p) 0.1852 ± 0.0045 (p)
u1(4.5  μm) −0.0046 ± 0.0050 (p) −0.0044 ± 0.0048 (p)
u2(4.5  μm) 0.1976 ± 0.0030 (p) 0.1975 ± 0.0029 (p)
u1(I + z) 0.193 ± 0.049 (p) 0.194 ± 0.049 (p)
u2(I + z) 0.363 ± 0.063 (p) 0.366 ± 0.060 (p) 0 ± 0.26

Planet parameters
(Rp/R)3.6  μm 0.11638 ± 0.00037 0.11638 ± 0.00035
(Rp/R)4.5  μm 0.11694 ± 0.00017 0.11693 ± 0.00017
(Rp/R)I + z 0.11735 ± 0.00086 0.11732 ± 0.00090 0.1177 ± 0.0011
a/R 14.45 ± 0.15
a [au] 0.01488 ± 0.00025 0.01489 ± 0.00025 0.01486 ± 0.00025
i [deg] 88.47 ± 0.10 88.55 ± 0.14
e 0 (fixed) 0 (fixed)
ω [deg]
ecosω 0 (fixed) 0 (fixed)
esinω 0 (fixed) 0 (fixed)
Teq [K]a 604 ± 19 603 ± 19
Rp,3.6  μm [R] 2.805 ± 0.056 2.776 ± 0.061
Rp,4.5  μm [R] 2.821 ± 0.056 2.799 ± 0.061
Rp,I + z [R] 2.830 ± 0.062 2.823 ± 0.069

Notes. The analysis we adopted is MCMC 1. (p) A normal prior distribution was assumed (see text for details).

(a)

Assuming a null Bond albedo and a homogeneous heat distribution between both hemispheres.

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