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Table 2

Modeled and inferred parameters for the GJ 3470 system.

Unit Prior Posterior

Stellar parameters
Stellar mass, M [M] 0.541 ± 0.067
Stellar radius, R [R] 0.503 ± 0.063

Planetary parameters
Orbital period, P [day] Jeffreys (Pmin = 3.33, Pmax = 3.34) 3.33714 ± 0.00017
Systemic velocity, γ [km s-1] Uniform (γmin = + 26, γmax = + 27) 26.51691 ± 0.00053
Radial-velocity semi-amplitude, K   [m/s] Jeffreys (Kmin = 0.1, Kmax = 100) 0.00901 ± 0.00075
Orbital eccentricity, e [] Uniform (emin = 0, emax = 0.1)  < 0.051 (1-σ upper limit)
Argument of periastron, ω [rad] Uniform (ωmin = 0, ωmax = 2π) 0 − 2π (unconstrained)
Planet-to-star radius ratio, Rp/R [] Uniform (min = 0, max = 0.1) 0.0755 ± 0.0031
Transit depth, D [mmag] 5.69 ± 0.47
Scaled semi-major axis, a/R [] Uniform (min = 0, max = 100) 14.9 ± 1.2
Orbital inclination, i [rad] Isotropic spin-orbit (imin = 0, imax = π/2)  > 88.8o (1-σ lower limit)
semi-major axis, a [AU] 0.0348 ± 0.0014
Transit times
 Mid transit, Ttr [day] 55 953.6645 ± 0.0034
 First contact, tI [day] 55 956.9652 ± 0.0029
 Second contact, tII [day] 55 956.9705 ± 0.0028
 Third contact, tIII [day] 55 957.0325 ± 0.0051
 Fourth contact, tIV [day] 55 957.0378 ± 0.0071
Planetary mass, Mp [M] 14.0 ± 1.7
Planetary radius, Rp [R] 4.2 ± 0.6
Impact parameter, b [] 0.22 ± 0.16
Planetary density, ρp [g/cm3] 1.07 ± 0.43
Planetary surface gravity, gp [m/s2] 7.9 ± 1.8
Equilibrium temperature
 Teq, A = 0 [K] 615 ± 16
 Teq, A = 0.75 [K] 435 ± 12

Data parameters
Radial-velocity time series additive noise
 for Harps, ϵrv   [m/s] Modif. Jeffreys (ϵmin = 0, ϵ0 = 0.1, ϵmax = 1000)  < 0.40 (1-σ upper limit)
Photometric time series additive noise
 for Trappist (2012, Feb. 26), ϵph,1   [mmag] Modif. Jeffreys (ϵmin = 0, ϵ0 = 0.1, ϵmin = 1000) 2.18 ± 0.19
 for Trappist (2012, Mar. 7), ϵph,2 [mmag] Modif. Jeffreys (ϵmin = 0, ϵ0 = 0.1, ϵmin = 1000) 3.51 ± 0.18
 for Euler (2012, Feb. 26), ϵph,3 [mmag] Modif. Jeffreys (ϵmin = 0, ϵ0 = 0.1, ϵmin = 1000) 1.33 ± 0.12
 for Nites (2012, Apr. 12), ϵph,4 [mmag] Modif. Jeffreys (ϵmin = 0, ϵ0 = 0.1, ϵmin = 1000) 0.04 ± 0.04
Baseline model (y = a +  + cτ2, where τ is, for a given time series, the time elapsed since the 1st exposure)
 for Trappist (2012, Feb. 26), a 1.000100 ± 0.000461
 , b  −0.011 ± 0.012
 , c 0.097 ± 0.068
 for Trappist (2012, Mar. 7), a 0.999810 ± 0.000502
, b  −0.003 ± 0.011
, c 0.049 ± 0.053
 for Euler (2012, Feb. 26), a 0.998510 ± 0.000355
, b 0.068 ± 0.010
, c  −0.487 ± 0.061
 for Nites (2012, Apr. 12), a 0.186031 ± 0.000083
, b  −0.0058 ± 0.0027
, c 0.302 ± 0.018

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