Diving into the planetary system of Proxima with NIRPS - Breaking the metre per second barrier in the infrared

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Table G.1

Priors and measured parameters of the adopted model.

Parameter	Priors	Posterior
White noise
ln σ Phot_ASAS-3 [ppt]	$N$ $\mathcal{N}$ (3.5 , 3.5)	${3.082}_{- 0.034}^{+ 0.035}$ $3.082$^{+0.035}_{-0.034}$$
ln σ Phot_ASAS-4 [ppt]	$N$ $\mathcal{N}$ (3.5 , 3.5)	${2.840}_{- 0.056}^{+ 0.054}$ $2.840$^{+0.054}_{-0.056}$$
ln σ Phot_{LCO RD} [ppt]	$N$ $\mathcal{N}$ (3.5 , 3.5)	${2.38}_{- 0.15}^{+ 0.16}$ $2.38$^{+0.16}_{-0.15}$$
ln σ Phot_{LCO 2020} [ppt]	$N$ $\mathcal{N}$ (3.5 , 3.5)	${1.90}_{- 0.17}^{+ 0.19}$ $1.90$^{+0.19}_{-0.17}$$
ln σ Phot_{ASAS-SN V} [ppt]	$N$ $\mathcal{N}$ (3.5 , 3.5)	${2.277}_{- 0.061}^{+ 0.063}$ $2.277$^{+0.063}_{-0.061}$$
ln σ Phot_{ASAS-SN g} [ppt]	$N$ $\mathcal{N}$ (3.5 , 3.5)	${2.657}_{- 0.308}^{+ 0.305}$ $2.657$^{+0.305}_{-0.308}$$
ln σ FWHM_NIRPS [m s⁻¹]	$N$ $\mathcal{N}$ (2.3 , 2.3)	$- {0.24}_{- 0.43}^{+ 0.25}$ $-0.24$^{+0.25}_{-0.43}$$
ln σ FWHM_{HARPS 03} [m s⁻¹]	$N$ $\mathcal{N}$ (2.3 , 2.3)	${1.728}_{- 0.085}^{+ 0.088}$ $1.728$^{+0.088}_{-0.085}$$
ln σ FWHM_{HARPS 15} [m s⁻¹]	$N$ $\mathcal{N}$ (2.3 , 2.3)	${2.402}_{- 0.048}^{+ 0.049}$ $2.402$^{+0.049}_{-0.048}$$
ln σ FWHM_{ESPRESSO 18} [m s⁻¹]	$N$ $\mathcal{N}$ (2.3 , 2.3)	${1.18}_{- 0.14}^{+ 0.14}$ $1.18$^{+0.14}_{-0.14}$$
ln σ FWHM_{ESPRESSO 19} [m s⁻¹]	$N$ $\mathcal{N}$ (2.3 , 2.3)	${0.70}_{- 0.13}^{+ 0.13}$ $0.70$^{+0.13}_{-0.13}$$
ln σ RV_NIRPS [m s⁻¹]	$N$ $\mathcal{N}$ (0.5 , 0.5)	$- {0.55}_{- 0.13}^{+ 0.11}$ $-0.55$^{+0.11}_{-0.13}$$
ln σ RV_{HARPS 03} [m s⁻¹]	$N$ $\mathcal{N}$ (0.5 , 0.5)	${0.50}_{- 0.12}^{+ 0.12}$ $0.50$^{+0.12}_{-0.12}$$
ln σ RV_{HARPS 15} [m s⁻¹]	$N$ $\mathcal{N}$ (0.5 , 0.5)	${0.428}_{- 0.074}^{+ 0.074}$ $0.428$^{+0.074}_{-0.074}$$
ln σ RV_{ESPRESSO 18} [m s⁻¹]	$N$ $\mathcal{N}$ (0.5 , 0.5)	$- {0.86}_{- 0.22}^{+ 0.20}$ $-0.86$^{+0.20}_{-0.22}$$
ln σ RV_{ESPRESSO 19} [m s⁻¹]	$N$ $\mathcal{N}$ (0.5 , 0.5)	$- {1.22}_{- 0.24}^{+ 0.21}$ $-1.22$^{+0.21}_{-0.24}$$
ln σ RV_UVES [m s⁻¹]	$N$ $\mathcal{N}$ (0.5 , 0.5)	$- {0.08}_{- 0.23}^{+ 0.20}$ $-0.08$^{+0.20}_{-0.23}$$

Zero points
V0 Phot_ASAS-3 [ppt]	$N$ $\mathcal{N}$ (0 , 100)	$- {23.2}_{- 2.4}^{+ 2.4}$ $-23.2$^{+2.4}_{-2.4}$$
V0 Phot_ASAS-4 [ppt]	$N$ $\mathcal{N}$ (0 , 100)	${11.0}_{- 2.0}^{+ 2.0}$ $11.0$^{+2.0}_{-2.0}$$
V0 Phot_{LCO RD} [ppt]	$N$ $\mathcal{N}$ (0 , 100)	${42.0}_{- 5.0}^{+ 4.9}$ $42.0$^{+4.9}_{-5.0}$$
V0 Phot_{LCO 2020} [ppt]	$N$ $\mathcal{N}$ (0 , 100)	$- {10.3}_{- 2.9}^{+ 2.9}$ $-10.3$^{+2.9}_{-2.9}$$
V0 Phot_{ASAS-SN V} [ppt]	$N$ $\mathcal{N}$ (0 , 100)	${0.41}_{- 2.2}^{+ 2.3}$ $0.41$^{+2.3}_{-2.2}$$
V0 Phot_{ASAS-SN g} [ppt]	$N$ $\mathcal{N}$ (0 , 100)	$- {23.8}_{- 1.9}^{+ 1.9}$ $-23.8$^{+1.9}_{-1.9}$$
V0 FWHM_NIRPS [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 40)	${2.8}_{- 1.7}^{+ 1.9}$ $2.8$^{+1.9}_{-1.7}$$
V0 FWHM_{HARPS 03} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 40)	$- {3.7}_{- 1.8}^{+ 1.8}$ $-3.7$^{+1.8}_{-1.8}$$
V0 FWHM_{HARPS 15} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 40)	${4.4}_{- 1.5}^{+ 1.5}$ $4.4$^{+1.5}_{-1.5}$$
V0 FWHM_{ESPRESSO 18} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 40)	$- {5.8}_{- 1.9}^{+ 1.9}$ $-5.8$^{+1.9}_{-1.9}$$
V0 FWHM_{ESPRESSO 19} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 40)	${7.2}_{- 2.2}^{+ 2.2}$ $7.2$^{+2.2}_{-2.2}$$
V0 RV_NIRPS [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 20)	$- {0.84}_{- 0.26}^{+ 0.25}$ $-0.84$^{+0.25}_{-0.26}$$
V0 RV_{HARPS 03} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 20)	${0.74}_{- 0.45}^{+ 0.44}$ $0.74$^{+0.44}_{-0.45}$$
V0 RV_{HARPS 15} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 20)	${0.38}_{- 0.34}^{+ 0.34}$ $0.38$^{+0.34}_{-0.34}$$
V0 RV_{ESPRESSO 18} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 20)	${1.06}_{- 0.33}^{+ 0.34}$ $1.06$^{+0.34}_{-0.33}$$
V0 RV_{ESPRESSO 19} [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 20)	${1.83}_{- 0.44}^{+ 0.44}$ $1.83$^{+0.44}_{-0.44}$$
V0 RV_UVES [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 20)	${0.47}_{- 0.27}^{+ 0.27}$ $0.47$^{+0.27}_{-0.27}$$

Polynomial parameters
a CRX_NIRPS [μ⁻¹]	$N$ $\mathcal{N}$ (0 , 0.3)	${0.122}_{- 0.019}^{+ 0.019}$ $0.122$^{+0.019}_{-0.019}$$
a CRX_HARPS [μ⁻¹]	$N$ $\mathcal{N}$ (0 , 0.3)	${0.0136}_{- 0.0042}^{+ 0.0041}$ $0.0136$^{+0.0041}_{-0.0042}$$
a CRX_ESPRESSO [μ⁻¹]	$N$ $\mathcal{N}$ (0 , 0.3)	${0.041}_{- 0.023}^{+ 0.023}$ $0.041$^{+0.023}_{-0.023}$$
a BERV_NIRPS [m s⁻¹ / km s⁻¹]	$N$ $\mathcal{N}$ (0 , 0.3)	${0.0360}_{- 0.0078}^{+ 0.0081}$ $0.0360$^{+0.0081}_{-0.0078}$$
b BERV_NIRPS [m s⁻¹ / km² s⁻²]	$N$ $\mathcal{N}$ (0 , 0.3)	${0.00379}_{- 0.00065}^{+ 0.00068}$ $0.00379$^{+0.00068}_{-0.00065}$$
a BERV_HARPS [m s⁻¹ / km s⁻¹]	$N$ $\mathcal{N}$ (0 , 0.3)	$- {0.0023}_{- 0.0102}^{+ 0.0098}$ $-0.0023$^{+0.0098}_{-0.0102}$$
b BERV_HARPS [m s⁻¹ / km² s⁻²]	$N$ $\mathcal{N}$ (0 , 0.3)	$- {0.00176}_{- 0.00095}^{+ 0.00096}$ $-0.00176$^{+0.00096}_{-0.00095}$$
a BERV_ESPRESSO [m s⁻¹ / km s⁻¹]	$N$ $\mathcal{N}$ (0 , 0.3)	${0.038}_{- 0.011}^{+ 0.011}$ $0.038$^{+0.011}_{-0.011}$$
b BERV_ESPRESSO [m s⁻¹ / km² s⁻²]	$N$ $\mathcal{N}$ (0 , 0.3)	$- {0.00306}_{- 0.00091}^{+ 0.00087}$ $-0.00306$^{+0.00087}_{-0.00091}$$

Cycle parameters
Cycle period [d]	$N$ $\mathcal{N}$ (6400 , 300)	$6560_{- 82}^{+ 85}$ $6560$^{+85}_{-82}$$
Phase_P	$N$ $\mathcal{N}$ (−0.5 , 1)	${0.140}_{- 0.013}^{+ 0.012}$ $0.140$^{+0.012}_{-0.013}$$
Phase_P/2	$N$ $\mathcal{N}$ (−0.5 , 1)	${0.154}_{- 0.046}^{+ 0.045}$ $0.154$^{+0.045}_{-0.046}$$
Phase_P/3	$N$ $\mathcal{N}$ (−0.5 , 1)	${0.211}_{- 0.043}^{+ 0.048}$ $0.211$^{+0.048}_{-0.043}$$
Phase_P/4	$N$ $\mathcal{N}$ (−0.5 , 1)	$- {0.217}_{- 0.039}^{+ 0.038}$ $-0.217$^{+0.038}_{-0.039}$$
K Phot_P [ppt]	$U$ $\mathcal{U}$ (0 , 50)	${32.7}_{- 2.3}^{+ 2.2}$ $32.7 $^{+2.2}_{-2.3}$$
K Phot_P/2 [ppt]	$U$ $\mathcal{U}$ (0 , 50)	${2.8}_{- 1.7}^{+ 2.0}$ $2.8 $^{+2.0}_{-1.7}$$
K Phot_P/3 [ppt]	$U$ $\mathcal{U}$ (0 , 50)	${5.1}_{- 2.1}^{+ 2.1}$ $5.1 $^{+2.1}_{-2.1}$$
K Phot_P/4 [ppt]	$U$ $\mathcal{U}$ (0 , 50)	${7.0}_{- 1.6}^{+ 1.5}$ $7.0 $^{+1.5}_{-1.6}$$
K FWHM V_P [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	$- {6.3}_{- 1.8}^{+ 1.7}$ $-6.3$^{+1.7}_{-1.8}$$
K FWHM V_P/2 [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	$- {0.26}_{- 1.4}^{+ 1.4}$ $-0.26$^{+1.4}_{-1.4}$$
K FWHM V_P/3 [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	$- {0.80}_{- 1.5}^{+ 1.5}$ $-0.80$^{+1.5}_{-1.5}$$
K FWHM V_P/4 [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	$- {0.85}_{- 1.4}^{+ 1.5}$ $-0.85$^{+1.5}_{-1.4}$$
ln Scale FWHM NIR [m s⁻¹]	$U$ $\mathcal{U}$ (−5 , 3)	$- {2.7}_{- 1.5}^{+ 1.6}$ $-2.7$^{+1.6}_{-1.5}$$
K RV V_P [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	$- {0.89}_{- 0.30}^{+ 0.30}$ $-0.89$^{+0.30}_{-0.30}$$
K RV V_P/2 [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	${0.98}_{- 0.20}^{+ 0.20}$ $0.98$^{+0.20}_{-0.20}$$
K RV V_P/3 [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	${0.63}_{- 0.22}^{+ 0.22}$ $0.63$^{+0.22}_{-0.22}$$
K RV V_P/4 [m s⁻¹]	$N$ $\mathcal{N}$ (0 , 10)	$- {0.56}_{- 0.18}^{+ 0.18}$ $-0.56$^{+0.18}_{-0.18}$$
ln Scale RV NIR [m s⁻¹]	$U$ $\mathcal{U}$ (−5 , 3)	$- {3.65}_{- 0.92}^{+ 1.17}$ $-3.65$^{+1.17}_{-0.92}$$

GP Parameters
Rotation period [d]	$N$ $\mathcal{N}$ (85 , 5)	${83.2}_{- 1.6}^{+ 1.6}$ $83.2$^{+1.6}_{-1.6}$$
ln Timescale [d]	$U$ $\mathcal{U}$ (3, 10)	${4.07}_{- 0.17}^{+ 0.18}$ $4.07$^{+0.18}_{-0.17}$$
A₁₁ Phot [ppt]	$U$ $\mathcal{U}$ (0 , 50)	${22.1}_{- 1.3}^{+ 1.4}$ $22.1$^{+1.4}_{-1.3}$$
A₁₂ Phot [ppt]	$U$ $\mathcal{U}$ (0 , 50)	${8.9}_{- 1.2}^{+ 1.2}$ $8.9$^{+1.2}_{-1.2}$$
A₂₁ FWHM_NIR [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	$- {12.2}_{- 1.1}^{+ 1.1}$ $-12.2$^{+1.1}_{-1.1}$$
A₂₂ FWHM_NIR [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	$- {5.5}_{- 1.3}^{+ 1.2}$ $-5.5$^{+1.2}_{-1.3}$$
B₂₁ FWHM_NIR [m]	$U$ $\mathcal{U}$ (−100 , 100)	$39_{- 10}^{+ 11}$ $39$^{+11}_{-10}$$
B₂₂ FWHM_NIR [m]	$U$ $\mathcal{U}$ (−100 , 100)	$- {22.7}_{- 7.8}^{+ 8.3}$ $-22.7$^{+8.3}_{-7.8}$$
A₃₁ FWHM_VIS [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	$- {14.6}_{- 1.0}^{+ 1.0}$ $-14.6$^{+1.0}_{-1.0}$$
A₃₂ FWHM_VIS [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	$- {0.29}_{- 1.1}^{+ 1.1}$ $-0.29$^{+1.1}_{-1.1}$$
B₃₁ FWHM_VIS [m]	$U$ $\mathcal{U}$ (−100 , 100)	$- 28_{- 12}^{+ 12}$ $-28$^{+12}_{-12}$$
B₃₂ FWHM_VIS [m]	$U$ $\mathcal{U}$ (−100 , 100)	${8.9}_{- 5.1}^{+ 5.0}$ $8.9$^{+5.0}_{-5.1}$$
A₄₁ RV_NIR [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	${0.59}_{- 0.22}^{+ 0.22}$ $0.59$^{+0.22}_{-0.22}$$
A₄₂ RV_NIR [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	${1.33}_{- 0.21}^{+ 0.24}$ $1.33$^{+0.24}_{-0.21}$$
B₄₁ RV_NIR [m]	$U$ $\mathcal{U}$ (−100 , 100)	$- {11.4}_{- 2.3}^{+ 2.2}$ $-11.4$^{+2.2}_{-2.3}$$
B₄₂ RV_NIR [m]	$U$ $\mathcal{U}$ (−100 , 100)	$- {0.9}_{- 1.9}^{+ 1.9}$ $-0.9$^{+1.9}_{-1.9}$$
A₅₁ RV_VIS [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	${0.32}_{- 0.14}^{+ 0.15}$ $0.32$^{+0.15}_{-0.14}$$
A₅₂ RV_VIS [m s⁻¹]	$U$ $\mathcal{U}$ (−50 , 50)	$- {1.05}_{- 0.26}^{+ 0.27}$ $-1.05$^{+0.27}_{-0.26}$$
B₅₁ RV_VIS [m]	$U$ $\mathcal{U}$ (−100 , 100)	$- {8.6}_{- 2.2}^{+ 2.2}$ $-8.6$^{+2.2}_{-2.2}$$
B₅₂ RV_VIS [m]	$U$ $\mathcal{U}$ (−100 , 100)	$- {8.3}_{- 1.4}^{+ 1.4}$ $-8.3$^{+1.4}_{-1.4}$$

Planets
Period_b [d]	$U$ $\mathcal{U}$ (9.0,13.5)	${11.18465}_{- 0.00053}^{+ 0.00052}$ $11.18465$^{+0.00052}_{-0.00053}$$
ln K_b [m s⁻¹]	$U$ $\mathcal{U}$ (−5 , 2)	${0.204}_{- 0.052}^{+ 0.050}$ $0.204$^{+0.050}_{-0.052}$$
Phase_b	$U$ $\mathcal{U}$ (−0.25 , 0.75)	$- {0.020}_{- 0.011}^{+ 0.011}$ $-0.020 $^{+0.011}_{-0.011}$$
Period_d [d]	$U$ $\mathcal{U}$ (4.1,6.1)	${5.12338}_{- 0.00035}^{+ 0.00035}$ $5.12338$^{+0.00035}_{-0.00035}$$
ln K_d [m s⁻¹]	$U$ $\mathcal{U}$ (−5 , 2)	$- {0.94}_{- 0.15}^{+ 0.14}$ $-0.94$^{+0.14}_{-0.15}$$
Phase_d	$U$ $\mathcal{U}$ (−0.25 , 0.75)	${0.522}_{- 0.031}^{+ 0.031}$ $0.522 $^{+0.031}_{-0.031}$$

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