The GAPS Programme at TNG - LV. Multiple molecular species in the atmosphere of HAT-P-11 b and review of the HAT-P-11 planetary system

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Volume 686 (June 2024)

A&A, 686 (2024) A127

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Table 3

Parameters and adopted priors of the RV models with Gaussian processes and three different kernels (U and N stand for uniform and Gaussian priors, respectively).

Parameter	Symbol	Units	C.I.	Prior
Squared-exponential Gaussian process model [ΔBIC = 56.8]
RV zero point	γ	m s⁻¹	−3.2 ± 4.6	U] – ∞, +∞o[
RV jitter	σ_jit	m s⁻¹	3.29 ± 0.24	U[0, +∞[
GP-SE amplitude	h	m s⁻¹	${17.8}_{- 2.4}^{+ 3.0}$ $\[17.8_{-2.4}^{+3.0}\]$	U[0, +∞[
GP-SE decay timescale	λ	days	${93.0}_{- 9.9}^{+ 10.9}$ $\[93.0_{-9.9}^{+10.9}\]$	U[0, 500]
Eccentricity	e	−	0.2608 ± 0.0086	N(0.258, 0.004)
Stellar argument of periastron	ω_⋆	deg	13.5 ± 2.7	N(12, 3)
Radial-velocity semi-amplitude	K_⋆	m s⁻¹	11.20 ± 0.50	U[0, +∞[

Quasi-periodic Gaussian process model [ΔBIC = 18.6]
RV zero point	γ	m s⁻¹	$- {3.11}_{- 4.51}^{+ 4.38}$ $\[-3.11_{-4.51}^{+4.38}\]$	U] – ∞, +∞[
RV jitter	σ_jit	ms⁻¹	2.16 ± 0.24	U[0, +∞[
GP amplitude	h	ms⁻¹	${16.4}_{- 2.0}^{+ 2.5}$ $\[16.4_{-2.0}^{+2.5}\]$	U[0, +∞[
GP decay timescale	λ	days	$146_{- 45}^{+ 34}$ $\[146_{-45}^{+34}\]$	U[0, 500]
GP rotational period	P_rot	days	${32.73}_{- 0.45}^{+ 0.27}$ $\[32.73_{-0.45}^{+0.27}\]$	U[25, 40]
GP harmonic inverse complexity	w		${1.87}_{- 0.29}^{+ 0.40}$ $\[1.87_{-0.29}^{+0.40}\]$	U[0.1, 5]
Eccentricity	e	−	0.2638 ± 0.0090	N(0.258,0.004)
Stellar argument of periastron	ω_⋆	deg	14.2 ± 2.5	N(12,3)
Radial-velocity semi-amplitude	K_⋆	m s⁻¹	10.72 ± 0.43	U[0, +∞[

Quasi-periodic+squared-exponential Gaussian process model [ΔBIC = 0]
RV zero point	γ	m s⁻¹	$- {3.3}_{- 12.1}^{+ 11.7}$ $\[-3.3_{-12.1}^{+11.7}\]$	U] – ∞, +∞[
RV jitter	σ_jit	ms⁻¹	${1.94}_{- 0.19}^{+ 0.21}$ $\[1.94_{-0.19}^{+0.21}\]$	U[0, +∞[
GP rotational amplitude	h_rot	ms⁻¹	${6.84}_{- 1.12}^{+ 1.34}$ $\[6.84_{-1.12}^{+1.34}\]$	U[0, +∞[
GP rotational decay timescale	λ_rot	days	${58.1}_{- 11.9}^{+ 13.4}$ $\[58.1_{-11.9}^{+13.4}\]$	U[0, 500]
GP rotational period	P_rot	days	${31.81}_{- 0.82}^{+ 0.76}$ $\[31.81_{-0.82}^{+0.76}\]$	U[25, 40]
GP rotational harmonic inverse complexity	w_rot		${1.09}_{- 0.21}^{+ 0.26}$ $\[1.09_{-0.21}^{+0.26}\]$	U[0.1,5]
GP cycle amplitude	h_cycle	ms⁻¹	${23.4}_{- 6.6}^{+ 12.9}$ $\[23.4_{-6.6}^{+12.9}\]$	U[0, +∞[
GP cycle decay timescale	λ_cycle	days	$435_{- 119}^{+ 156}$ $\[435_{-119}^{+156}\]$	U[0,1000]
Eccentricity	e	−	0.2654 ± 0.0091	N(0.258,0.004)
Stellar argument of periastron	ω_⋆	deg	14.7 ± 2.6	N(12,3)
Radial-velocity semi-amplitude	K_⋆	m s⁻¹	10.78 ± 0.42	U[0, +∞[

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