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Table B.3

LTT 3780 RV analysis priors and parameters

Parameter Units Prior Posterior
γCARMENES m/s 𝒩(μCARMENES, σCARMENES)1 1.21.2+1.1Mathematical equation: $\[-1.2_{-1.2}^{+1.1}\]$
γHARPS,a m/s 𝒩(μHARPS,a, σHARPS,a)1 −0.9 ± 0.5
γHARPS-N m/s 𝒩(μHARPS-N, σHARPS-N)1 1.40.9+0.8Mathematical equation: $\[-1.4_{-0.9}^{+0.8}\]$
γMAROON-X,b m/s 𝒩(μMAROON-X,b, σMAROON-X,b)1 1.1 ± 0.3
γMAROON-X,r m/s 𝒩(μMAROON-X,r, σMAROON-X,r)1 0.70.3+0.2Mathematical equation: $\[0.7_{-0.3}^{+0.2}\]$
γNIRPS m/s 𝒩(μNIRPS, σNIRPS)1 58.53.1+3.5Mathematical equation: $\[58.5_{-3.1}^{+3.5}\]$
ρGP days 𝒩(104, 15)2 100.47.7+9.0Mathematical equation: $\[100.4_{-7.7}^{+9.0}\]$
log τ days 𝒰(log (2PGP), log (100PGP)) 5.90.4+0.8Mathematical equation: $\[5.9_{-0.4}^{+0.8}\]$
log σCARMENES m2/s2 𝒰(−5, 5) 1.40.7+0.8Mathematical equation: $\[1.4_{-0.7}^{+0.8}\]$
log σHARPS,a m2/s2 𝒰(−5, 5) 0.80.4+0.5Mathematical equation: $\[0.8_{-0.4}^{+0.5}\]$
log σHARPS-N m2/s2 𝒰(−5, 5) 1.30.6+0.7Mathematical equation: $\[1.3_{-0.6}^{+0.7}\]$
log σMAROON-X,b m2/s2 𝒰(−5, 5) 2.31.8+1.9Mathematical equation: $\[-2.3_{-1.8}^{+1.9}\]$
log σMAROON-X,r m2/s2 𝒰(−5, 5) 0.50.7+0.6Mathematical equation: $\[-0.5_{-0.7}^{+0.6}\]$
log σNIRPS m2/s2 𝒰(−5, 5) 2.40.5+0.6Mathematical equation: $\[2.4_{-0.5}^{+0.6}\]$
log Kb m/s 𝒰(−5, 5) 1.18 ± 0.04
Kb m/s _4 3.26 ± 0.14
Pb days 𝒮𝒩(0.76837931, 0.00000042, 0.00000039)3 0.7683793 ± 0.0000004
t0,b BJD-2450000 𝒮𝒩(9606.58098, 0.00040,0.00032)3 9606.5810 ± 0.0004
log Kc m/s 𝒰(−5, 5) 1.47 ± 0.03
Kc m/s _4 4.35 ± 0.13
Pc days 𝒩(12.252284, 0.000013)3 12.25228 ± 0.00001
t0,c BJD-2450000 𝒮𝒩(9600.54227, 0.00065,00066)3 9600.5423 ± 0.0007
hc 𝒰(−1, 1) 0.120.11+0.08Mathematical equation: $\[0.12_{-0.11}^{+0.08}\]$
kc 𝒰(−1, 1) 0.150.14+0.10Mathematical equation: $\[0.15_{-0.14}^{+0.10}\]$
ec _4 < 0.11
Mb M _3 2.34 ± 0.10
Mc M _3 7.89 ± 0.26

The priors and posteriors of the planetary and GP parameters for the LTT 3780 system. LTT 3780 b was restricted to have an eccentricity of 0 due to its short period; the eccentricity of LTT 3780 c was allowed to vary. The MAROON-X, r and MAROON-X, b subscripts refer to the red and blue MAROON-X data respectively; the HARPS, a subscript refers to the archival HARPS data (as opposed to the HARPS data taken simultaneously with NIRPS, which was not included for lack of information content.) 𝒮𝒩 refers to a split-normal distribution, parameterized as 𝒮𝒩(μ, σ, σ+).

1 Normal distribution, based on the mean and standard deviation of the data points fit from this instrument.

2 Obtained from Cloutier et al. (2020).

3 Obtained from Bonfanti et al. (2024).

4 Derived from other parameters.

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