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Table B.2

GJ 1252 RV analysis priors and parameters

Parameter Units Prior Posterior (One-planet) Posterior (Two-planet)
γHARPS,a m/s 𝒩(μHARPS,a, σHARPS,a)1 −5.5 ± 2.5 −5.4 ± 0.7
γHARPS,s m/s 𝒩(μHARPS,s, σHARPS,s)1 7210.6 ± 0.7 7210.6−0.7+0.6Mathematical equation: $\[7210.6_{-0.7}^{+0.6}\]$
γNIRPS m/s 𝒩(μNIRPS, σNIRPS)1 7362.0 ± 2.4 7362.4 ± 2.3
ρGP days 𝒩(64, 4)2 55 ± 3 55 ± 3
log τ days 𝒰(log (2PGP), log (100PGP)) 5.0−0.1+0.2Mathematical equation: $\[5.0_{-0.1}^{+0.2}\]$ 4.9−0.1+0.2Mathematical equation: $\[4.9_{-0.1}^{+0.2}\]$
log σHARPS,a m2/s2 𝒰(−5, 5) 2.8 ± 0.4 0.9 ± 0.5
log σHARPS,s m2/s2 𝒰(−5, 5) 1.9 ± 0.2 1.9 ± 0.2
log σNIRPS m2/s2 𝒰(−5, 5) 3.5 ± 0.3 3.4 ± 0.3
log Kb m/s 𝒰(−5, 5) 0.79−0.14+0.13Mathematical equation: $\[0.79_{-0.14}^{+0.13}\]$ 0.86−0.12+0.11Mathematical equation: $\[0.86_{-0.12}^{+0.11}\]$
Kb m/s _3 2.20 ± 0.30 2.36 ± 0.28
Pb days 𝒩(0.5182349, 6.3e-6)2 0.518235 ± 6e-6 0.518235 ± 6e-6
t0,b BJD-2450000 𝒩(8668.09739, 3.2e-4)2 8668.097 ± 3e-4 8668.097 ± 3e-4
log Kc m/s 𝒰(−5, 5) − 1.04−0.15+0.13Mathematical equation: $\[1.04_{-0.15}^{+0.13}\]$
Kc m/s _4 − 2.84 ± 0.40
Pc days 𝒩(17.50, 0.41)2 − 18.41 ± 0.01
t0,c BJD-2450000 𝒩(8681.4, 3.2)2 − 8677.6−0.7+0.6Mathematical equation: $\[8677_{-0.7}^{+0.6}\]$
hc − 𝒰(−1, 1)3 − 0.23−0.27+0.19Mathematical equation: $\[0.23_{-0.27}^{+0.19}\]$
kc − 𝒰(−1, 1)3 − 0.27−0.28+0.19Mathematical equation: $\[0.27_{-0.28}^{+0.19}\]$
ec − _4 − 0.20−0.10+0.11Mathematical equation: $\[0.20_{-0.10}^{+0.11}\]$
Mb M⊕ _4 1.43 ± 0.19 1.54 ± 0.18
Mc M⊕ _4 − 6.08 ± 0.86

The priors and posteriors of the planetary and GP parameters for the GJ 1252 system. Note that GJ 1252 b was restricted to have an eccentricity of 0 thanks to its short period; the eccentricity of GJ 1252 (c) was allowed to vary. The reported masses are a minimum mass in the case of GJ 1252 (c), as it does not transit. The HARPS, a and HARPS, s subscripts refers to the archival HARPS data and the HARPS data taken simultaneously with NIRPS respectively. 𝒮𝒩 refers to a split-normal distribution, parameterized here 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 Shporer et al. (2020).

3 An additional constraint is put on h, k such that e2 = h2 + k2 < 1.

4 Derived from other parameters.

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