The RoPES project with HARPS and HARPS-N - II. A third planet in the multi-planet system HD 176986

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Volume 705 (January 2026)

A&A, 705 (2026) A252

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Table G.2

Priors and posteriors of our favorite model.

Parameter	Unit	Prior	Posterior
K_b	m s⁻¹	$U (0, 3 σ R V)$ $\mathcal{U}(0,3\sigma RV)$	2.14 ± 0.17
P_b	d	$U (5, 10)$ $\mathcal{U}(5,10)$	${6.49164}_{- 0.00029}^{+ 0.00030}$ $6.49164 $_{-0.00029}^{+0.00030}$$
Phase _b		$U (0, 1)$ $\mathcal{U}(0,1)$	${0.4998}_{- 0.026}^{+ 0.027}$ $0.4998$_{-0.026}^{+0.027}$$
K_c	m s⁻¹	$U (0, 3 σ R V)$ $\mathcal{U}(0,3\sigma RV)$	2.84 ± 0.18
P_c	d	$U (10, 20)$ $\mathcal{U}(10,20)$	16.8124 ± 0.0015
Phase _c		$U (0, 1)$ $\mathcal{U}(0,1)$	${0.750}_{- 0.019}^{+ 0.018}$ $0.750$_{-0.019}^{+0.018}$$
K_d	m s⁻¹	$U (0, 3 σ R V)$ $\mathcal{U}(0,3\sigma RV)$	1.28 ± 0.17
P_d	d	$U (40, 60)$ $\mathcal{U}(40,60)$	${61.376}_{- 0.49}^{+ 0.051}$ $61.376$_{-0.49}^{+0.051}$$
Phase _d		$U (0, 1)$ $\mathcal{U}(0,1)$	$- {0.2148}_{- 0.049}^{+ 0.050}$ $-0.2148$_{-0.049}^{+0.050}$$
FWHM offset H03	m s⁻¹	$N (0, 3 σ F W H M)$ $\mathcal{N}(0,3\sigma FWHM)$	1.6 ± 2.4
FWHM offset H15	m s⁻¹	$N (0, 3 σ F W H M)$ $\mathcal{N}(0,3\sigma FWHM)$	−3.2 ± 2.5
FWHM offset HN	m s⁻¹	$N (0, 3 σ F W H M)$ $\mathcal{N}(0,3\sigma FWHM)$	$- {3.7}_{- 2.1}^{+ 2.2}$ $-3.7$_{-2.1}^{+2.2}$$
FWHM log jitter H03		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	${1.16}_{- 0.11}^{+ 0.10}$ $1.16 $_{-0.11}^{+0.10}$$
FWHM log jitter H15		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	1.39 ± 0.10
FWHM log jitter HN		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	$1.31 {1.16}_{- 0.091}^{+ 0.089}$ $1.31 1.16 $_{-0.091}^{+0.089}$$
FWHM acc	ms⁻¹ d⁻¹	$U (- 0.06, 0.06)$ $\mathcal{U}(-0.06,0.06)$	−0.00019 ± 0.00055
FWHM H03 drift	ms⁻¹ d⁻¹	$U (- 0.03, 0.03)$ $\mathcal{U}(-0.03,0.03)$	$- {0.00194}_{- 0.00081}^{+ 0.00080}$ $-0.00194 $_{-0.00081}^{+0.00080}$$
S-_MW×100 offset H03		$N (0, 3 σ S_{M W})$ $\mathcal{N}(0,3\sigma S_{MW})$	0.34 ± 0.39
S-_MW×100 offset H15		$N (0, 3 σ S_{M W})$ $\mathcal{N}(0,3\sigma S_{MW})$	−0.82 ± 0.43
S-_MW×100 offset HN		$N (0, 3 σ S_{M W})$ $\mathcal{N}(0,3\sigma S_{MW})$	$- {0.83}_{- 0.38}^{+ 0.39}$ $-0.83$_{-0.38}^{+0.39}$$
S-_MW×100 log jitter H03		$U (- 10, 5)$ $\mathcal{U}(-10,5)$	$- {0.93}_{- 0.14}^{+ 0.13}$ $-0.93$_{-0.14}^{+0.13}$$
S-_MW×100 log jitter H15		$U (- 10, 5)$ $\mathcal{U}(-10,5)$	${0.23}_{- 0.12}^{+ 0.11}$ $0.23$_{-0.12}^{+0.11}$$
S-_MW×100 log jitter HN		$U (- 10, 5)$ $\mathcal{U}(-10,5)$	−0.44 ± 0.10
RV offset H03	m s⁻¹	$N (0, 3 σ R V)$ $\mathcal{N}(0,3\sigma RV)$	${0.21}_{- 0.51}^{+ 0.50}$ $0.21 $_{-0.51}^{+0.50}$$
RV offset H15	m s⁻¹	$N (0, 3 σ R V)$ $\mathcal{N}(0,3\sigma RV)$	${1.23}_{- 0.56}^{+ 0.55}$ $1.23 $_{-0.56}^{+0.55}$$
RV offset HN	m s⁻¹	$N (0, 3 σ R V)$ $\mathcal{N}(0,3\sigma RV)$	${0.42}_{- 0.36}^{+ 0.37}$ $0.42 $_{-0.36}^{+0.37}$$
RV log jitter H03		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	${0.860}_{- 0.078}^{+ 0.079}$ $0.860$_{-0.078}^{+0.079}$$
RV log jitter H15		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	${0.607}_{- 0.090}^{+ 0.094}$ $0.607$_{-0.090}^{+0.094}$$
RV log jitter HN		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	${0.590}_{- 0.090}^{+ 0.089}$ $0.590$_{-0.090}^{+0.089}$$
RV acc	ms⁻¹ d⁻¹	$U (- 0.03, 0.03)$ $\mathcal{U}(-0.03,0.03)$	−0.00017 ± 0.00018
K_cycle FWHM	m s⁻¹	$U (0, 3 σ F W H M)$ $\mathcal{U}(0,3\sigma FWHM)$	${10.0}_{- 1.7}^{+ 1.9}$ $10.0 $_{-1.7}^{+1.9}$$
P_cycle	d	$U (2000, 3000)$ $\mathcal{U}(2000,3000)$	$2432_{- 59}^{+ 64}$ $2432$_{-59}^{+64}$$
Phase _cycle		$U (0.4, 1.4)$ $\mathcal{U}(0.4,1.4)$	${1.136}_{- 0.031}^{+ 0.034}$ $1.136$_{-0.031}^{+0.034}$$
K_cycle S_MW×100		$U (0, 3 σ S_{M W})$ $\mathcal{U}(0,3\sigma S_{MW})$	${2.21}_{- 0.32}^{+ 0.35}$ $2.21$_{-0.32}^{+0.35}$$
K_cycle RV	m s⁻¹	$U (0, 3 σ R V)$ $\mathcal{U}(0,3\sigma RV)$	${0.39}_{- 0.25}^{+ 0.32}$ $0.39 $_{-0.25}^{+0.32}$$
Log A1 FWHM		$U (- 10, 5)$ $\mathcal{U}(-10,5)$	${2.276}_{- 0.084}^{+ 0.093}$ $2.276$_{-0.084}^{+0.093}$$
A1 S_MW		$U (- 1, 1)$ $\mathcal{U}(-1,1)$	${0.1896}_{- 0.0076}^{+ 0.0079}$ $0.1896$_{-0.0076}^{+0.0079}$$
A1 RV	m s⁻¹	$U (- 1, 1)$ $\mathcal{U}(-1,1)$	${0.1372}_{- 0.017}^{+ 0.016}$ $0.1372$_{-0.017}^{+0.016}$$
A2 RV	m	$U (- 20, 20)$ $\mathcal{U}(-20,20)$	${0.52}_{- 0.10}^{+ 0.11}$ $0.52$_{-0.10}^{+0.11}$$
A2 FWHM	m	$U (- 40, 40)$ $\mathcal{U}(-40,40)$	0.41 ± 0.21
P_rot	d	$U (25, 45)$ $\mathcal{U}(25,45)$	${36.05}_{- 0.71}^{+ 0.66}$ $36.05$_{-0.71}^{+0.66}$$
Log Timescale		$U (3.5, 7)$ $\mathcal{U}(3.5,7)$	${4.36}_{- 0.27}^{+ 0.26}$ $4.36 $_{-0.27}^{+0.26}$$
Log η		$U (- 5, 5)$ $\mathcal{U}(-5,5)$	−0.85 ± 0.14

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