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Table A.2

Priors, along with medians and 68.3% percent credible intervals of the posterior distributions of the model parameters, as derived from the joint fit analysis performed with juliet for Ross 176 b.

Parameters Priors Posteriors Description
Stellar parameters
ρ* [kg/m3] U(3615,4615)$\mathcal{U}$(3615,4615) 4049246+310$4049^{+310}_{-246}$ Stellar density
Planet parameters
P [d] U(4.8,5.2)$\mathcal{U}$(4.8,5.2) 5.00663380.000007+0.000008$5.0066338^{+0.000008}_{-0.000007}$ Period
t0 [BJD_TDB - 2457000.0] U(2829.752,2829.77)$\mathcal{U}$(2829.752,2829.77) 2829.76270.0007+0.0008$2829.7627^{+0.0008}_{-0.0007}$ Time of transit-center
K [m s−1] U(0.0,26.34)$\mathcal{U}$(0.0,26.34) 2.550.51+0.49$2.55^{+0.49}_{-0.51}$ RV semi-amplitude
r1 U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.450.08+0.09$0.45^{+0.09}_{-0.08}$ Parameterization for p[1] and b[2]
r2 U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.030±0.001$0.030\pm 0.001$ Parameterization for \textit{p} and \textit{b}
e U(0.0,0.5)$\mathcal{U}$ (0.0,0.5) 0.25±0.04 Eccentricity of the orbit
ω (deg) U(180,180)$\mathcal{U}$ (-180,180) 10123+19$101^{+19}_{-23}$ Argument of periastron passage of the orbit
Photometric parameters
q1TESS U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.7680.237+0.156$0.768^{+0.156}_{-0.237}$ Quadratic limb-darkening parameterization
q2TESS U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.3270.161+0.191$0.327^{+0.191}_{-0.161}$ Quadratic limb-darkening parameterization
DTESS 1.0 (fixed) ... Dilution factor
mfluxTESS N(0.0,0.1)$\mathcal{N}$(0.0,0.1) −0.000012±0.000004 Relative flux offset
σw,TESS [ppm] L(0.1,103)$\mathcal{L}$(0.1,$\mathrm{10^3}$) 11223+19$112^{+19}_{-23}$ Extra jitter term
q1MuSCAT2g′$ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.2850.211+0.452$0.285^{+0.452}_{-0.211}$ Quadratic limb-darkening parameterization
q2MuSCAT2g′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.1860.135+0.211$0.186^{+0.211}_{-0.135}$ Quadratic limb-darkening parameterization
DMuSCAT2g′ 1.0 (fixed) ... Dilution factor
mfluxMuSCAT2g′ N(0.0,0.1)$\mathcal{N}$(0.0,0.1) −0.0002 ± 0.0001 Relative flux offset
σw,MuSCAT2g′ [ppm] L(0.1,103)$\mathcal{L}$(0.1,$\mathrm{10^3}$) 11+9$1^{+9}_{-1}$ Extra jitter term
q1MuSCAT2r′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.7840.148+0.132$0.784^{+0.132}_{-0.148}$ Quadratic limb-darkening parameterization
q2MuSCAT2r′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.8150.157+0.120$0.815^{+0.120}_{-0.157}$ Quadratic limb-darkening parameterization
DMuSCAT2r′ 1.0 (fixed) ... Dilution factor
mfluxMuSCAT2r′ N(0.0,0.1)$\mathcal{N}$(0.0,0.1) 0.0003 ± 0.0001 Relative flux offset
σw,MuSCAT2r′ [ppm] L(0.1,103)$\mathcal{L}$(0.1,$\mathrm{10^3}$) 44+57$4^{+57}_{-4}$ Extra jitter term
q1MuSCAT2i′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.1590.117+0.204$0.159^{+0.204}_{-0.117}$ Quadratic limb-darkening parameterization
q2MuSCAT2i′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.5990.266+0.236$0.599^{+0.236}_{-0.266}$ Quadratic limb-darkening parameterization
DMuSCAT2i′ 1.0 (fixed) ... Dilution factor
mfluxMuSCAT2i′ N(0.0,0.1)$\mathcal{N}$(0.0,0.1) 0.0001 ± 0.0001 Relative flux offset
σw,MuSCAT2i′ [ppm] L(0.1,103)$\mathcal{L}$(0.1,$\mathrm{10^3}$) 1110+227$11^{+227}_{-10}$ Extra jitter term
q1MuSCAT2zs′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.6780.213+0.201$0.678^{+0.201}_{-0.213}$ Quadratic limb-darkening parameterization
q2MuSCAT2zs′ U(0.0,1.0)$\mathcal{U}$(0.0,1.0) 0.7560.213+0.162$0.756^{+0.162}_{-0.213}$ Quadratic limb-darkening parameterization
DMuSCAT2zs′ 1.0 (fixed) ... Dilution factor
mfluxMuSCAT2zs′ N(0.0,0.1)$\mathcal{N}$(0.0,0.1) 0.0003±0.0001 Relative flux offset
σw,MuSCAT2zs′ [ppm] L(0.1,103)$\mathcal{L}$(0.1,$\mathrm{10^3}$) 870427+96$870^{+96}_{-427}$ Extra jitter term
RV parameters
μCARMENES [m/s] U(30,30)$\mathcal{U}$(-30,30) 0.252.37+2.02$-0.25^{+2.02}_{-2.37}$ RV offset
σw,CARMENES [m/s] L(103,102)$\mathcal{L}$($\mathrm{10^{-3},10^2}$) 0.1780.133+0.463$0.178^{+0.463}_{-0.133}$ Extra jitter term
GP hyperparameters
GPσ,TESS [ppm] L(0.01,10)$\mathcal{L}$(0.01,10) 0.470.43+3.16$0.47^{+3.16}_{-0.43}$ Amplitude of the GP
GPρ,TESS U(0.001,100)$\mathcal{U}$(0.001,100) 11+20$1^{+20}_{-1}$ Time/length-scale of the GP
GPB,CARMENES [m/s] U(0,40)$\mathcal{U}$(0,40) 23 ± 7 Amplitude of the GP
GPC,CARMENES U(0,20)$\mathcal{U}$(0,20) 11 ± 6 Additive factor impacting on the amplitude of the GP
GPL,CARMENES L(0.1,102)$\mathcal{L}$(0.1,$\mathrm{10^2}$) 4019+29$40^{+29}_{-19}$ Length-scale of exponential part of the GP
GPProt,CARMENES [d] N(16,2)$\mathcal{N}$(16,2) 17±1 Period of the quasi-periodic GP

References. [1]: planet-to-star radius ratio; [2] impact parameter.

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