HADES RV Programme with HARPS-N at TNG - XVI. A super-Earth in the habitable zone of the GJ 3998 multi-planet system

Open Access

Table C.8

Comparison of posteriors from one-dimensional modelling of different activity indicators: CCF FWHM, S-index, Hα and Na I.

Parameter name	Symbol	Unit	Prior	Posterior
Parameter name	Symbol	Unit	Prior	FWHM_CCF	S-index	Hα	Na I
Long-term function parameters
Period	P_cyc	d	𝒰_log (200.2000)	$584_{- 264}^{+ 932}$ ${584_{ - 264}^{ + 932}}$	$497_{- 30}^{+ 186}$ ${497_{ - 30}^{ + 186}}$	$563_{- 188}^{+ 825}$ ${563_{ - 188}^{ + 825}}$	$509_{- 71}^{+ 728}$ ${509_{ - 71}^{ + 728}}$
Indicator phase	φ_{cyc. 0}	-	𝒰 (0, 1)^w	${0.887}_{- 0.342}^{+ 0.316}$ ${0.887_{ - 0.342}^{ + 0.316}}$	${0.286}_{- 0.285}^{+ 0.304}$ ${0.286_{ - 0.285}^{ + 0.304}}$	${0.023}_{- 0.288}^{+ 2.267}$ ${0.023_{ - 0.288}^{ + 2.267}}$	${0.997}_{- 0.223}^{+ 0.223}$ ${0.997_{ - 0.223}^{ + 0.233}}$
Indicator amplitude	k_{cyc, 0}	-	𝒰_log (10⁻³,10³)	${1.86}_{- 1.29}^{+ 1.69}$ ${1.86_{ - 1.29}^{ + 1.69}}$	$({5.88}_{- 2.54}^{+ 1.76}) \times 10^{- 2}$ ${\left( {5.88_{ - 2.54}^{ + 1.76}} \right) \times {{10}^{ - 2}}}$	$({7.07}_{- 5.00}^{+ 6.69}) \times 10^{- 2}$ ${\left( {7.07_{ - 5.00}^{ + 6.69}} \right) \times {{10}^{ - 2}}}$	$({2.23}_{- 1.45}^{+ 1.14}) \times 10^{- 3}$ ${\left( {2.23_{ - 1.45}^{ + 1.14}} \right) \times {{10}^{ - 3}}}$
Indicator second-order correction	α₀	-	𝒩(µ_lm, 200σ_lm)	$({1.36}_{- 1.37}^{+ 1.30}) \times 10^{- 6}$ ${\left( {1.36_{ - 1.37}^{ + 1.30}} \right) \times {{10}^{ - 6}}}$	$({4.52}_{- 3.55}^{+ 3.38}) \times 10^{- 8}$ ${\left( {4.52_{ - 3.55}^{ + 3.38}} \right) \times {{10}^{ - 8}}}$	$({8.62}_{- 4.48}^{+ 4.28}) \times 10^{- 9}$ ${\left( {8.62_{ - 4.48}^{ + 4.28}} \right) \times {{10}^{ - 9}}}$	$({1.56}_{- 0.93}^{+ 0.89}) \times 10^{- 9}$ ${\left( {1.56_{ - 0.93}^{ + 0.89}} \right) \times {{10}^{ - 9}}}$
Indicator first-order correction	β₀	-	𝒩(µ_lm, 200σ_lm)	$({5.43}_{- 5.21}^{+ 5.07}) \times 10^{- 3}$ ${\left( {5.43_{ - 5.21}^{ + 5.07}} \right) \times {{10}^{ - 3}}}$	$({2.85}_{- 1.40}^{+ 1.42}) \times 10^{- 4}$ ${\left( {2.85_{ - 1.40}^{ + 1.42}} \right) \times {{10}^{ - 4}}}$	$({5.47}_{- 1.72}^{+ 1.71}) \times 10^{- 5}$ ${\left( {5.47_{ - 1.72}^{ + 1.71}} \right) \times {{10}^{ - 5}}}$	$({9.50}_{- 3.69}^{+ 3.43}) \times 10^{- 6}$ ${\left( {9.50_{ - 3.69}^{ + 3.43}} \right) \times {{10}^{ - 6}}}$
Indicator zero-order correction	γ₀	-	𝒩(µ_lm, 200σ_lm)	${3.06}_{- 4.68}^{+ 4.85}$ ${3.06_{ - 4.68}^{ + 4.85}}$	$({4.14}_{- 1.30}^{+ 1.44}) \times 10^{- 1}$ ${\left( {4.14_{ - 1.30}^{ + 1.44}} \right) \times {{10}^{ - 1}}}$	$({7.93}_{- 1.68}^{+ 1.56}) \times 10^{- 2}$ ${\left( {7.93_{ - 1.68}^{ + 1.56}} \right) \times {{10}^{ - 2}}}$	(1.26 ± 0.32) × 10⁻²
Dataset parameters
Indicator jitter	J_0,0	-	𝒰_log (10⁻³, 10³)	$({2.69}_{- 2.41}^{+ 24.04}) \times 10^{- 2}$ $\left( {2.69_{ - 2.41}^{ + 24.04}} \right) \times {10^{ - 2}}$	$({2.88}_{- 1.50}^{+ 4.00}) \times 10^{- 3}$ $\left( {2.88_{ - 1.50}^{ + 4.00}} \right) \times {10^{ - 3}}$	$({9.27}_{- 0.61}^{+ 0.68}) \times 10^{- 3}$ $\left( {9.27_{ - 0.61}^{ + 0.68}} \right) \times {10^{ - 3}}$	(1.37 ± 0.21) × 10⁻³
Stellar-activity parameters
Timescale	τ	d	𝒰_log (40.10⁴)	$138_{- 44}^{+ 75}$ ${138_{ - 44}^{ + 75}}$	$527_{- 288}^{+ 1507}$ ${527_{ - 288}^{ + 1507}}$	$116_{- 34}^{+ 55}$ ${116_{ - 34}^{ + 55}}$	$128_{- 38}^{+ 59}$ ${128_{ - 38}^{ + 59}}$
Period	P	d	𝒰_log (2, 200)	${30.9}_{- 0.9}^{+ 0.8}$ ${30.9_{ - 0.8}^{ + 0.8}}$	${29.6}_{- 0.2}^{+ 0.3}$ ${29.6_{ - 0.3}^{ + 0.3}}$	29.6 ± 0.6	${29.3}_{- 0.7}^{+ 0.6}$ ${29.3_{ - 0.6}^{ + 0.6}}$
Sinescale (harmonic complexity)	η	-	𝒰_log(10⁻²,10²)	${0.71}_{- 0.19}^{+ 0.35}$ ${0.71_{ - 0.19}^{ + 0.35}}$	${0.78}_{- 0.30}^{+ 0.85}$ ${0.78_{ - 0.30}^{ + 0.85}}$	${0.70}_{- 0.16}^{+ 0.25}$ ${0.70_{ - 0.16}^{ + 0.25}}$	${0.61}_{- 0.16}^{+ 0.25}$ ${0.61_{ - 0.16}^{ + 0.25}}$
Indicator amplitude	A₀	-	𝒰_log(10⁻³,10³)	${5.10}_{- 1.06}^{+ 1.96}$ ${5.10_{ - 1.06}^{ + 1.96}}$	$({1.19}_{- 0.44}^{+ 2.02}) \times 10^{- 1}$ ${\left( {1.19_{ - 0.44}^{ + 2.02}} \right) \times {{10}^{ - 1}}}$	$({1.85}_{- 0.33}^{+ 0.58}) \times 10^{- 2}$ ${\left( {1.85_{ - 0.33}^{ + 0.58}} \right) \times {{10}^{ - 2}}}$	$({3.56}_{- 0.72}^{+ 1.17}) \times 10^{- 3}$ ${\left( {3.56_{ - 0.72}^{ + 1.17}} \right) \times {{10}^{ - 3}}}$

Notes. ^(w)Wrapped parameter. Reported uncertainties reflect the 16^th and the 84^th percentiles. Some LTF parameters have priors informed by an initial Levenberg-Marquadt fitting procedure. Models with Hα and Na I used the prior 𝒰_log (10⁻⁴,1) for their LTF amplitudes.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.