Four-of-a-kind? Comprehensive atmospheric characterisation of the HR 8799 planets with VLTI/GRAVITY

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Volume 687 (July 2024)

A&A, 687 (2024) A298

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Table 6

Priors for temperature profiles.

	Spline	Guillot (G10)		Mollière (M20)		Zhang (Z23)

Name	Prior	Name	Prior	Name	Prior	Name	Prior
T₀	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (0 K, 300 K)	T_int	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (300 K, 2500 K)	T_int	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (300 K, 2000 K)	T_bot	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (2000 K, 12000 K)
T_i	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (300 K, 11900 K)	T_equ	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (10 K, 100 K)	T₀	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (0, T_Edd)	d log T/d log P₀	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0.25, 0.025)
γ	Γ⁻¹(1, 5 × 10⁻⁵)	γ	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0, 2)	T₁	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (0, T₀)	d log T/d log P₁	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0.25, 0.045)
…	…	log κ_IR	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (−4, 1)	T₂	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (0, T₁)	d log T/d log P₂	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0.26, 0.05)
…	…	…	…	α	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (1, 2)	d log T/d log P₃	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0.2, 0.05)
…	…	…	…	log δ	$U$ $\[\boldsymbol{\mathcal{U}}\]$ (0, 1)	d log T/d log P₄	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0.12, 0.045)
…	…	…	…	…	…	d log T/d log P₅	$N$ $\[\boldsymbol{\mathcal{N}}\]$ (0.07, 0.07)

Notes. $N$ $\[\boldsymbol{\mathcal{N}}\]$ (μ, σ): Gaussian prior. $U$ $\[\boldsymbol{\mathcal{U}}\]$ (low, high): uniform prior. Γ⁻¹ (α, β): inverse Gamma function prior.

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