Gas rotation and turbulence in the galaxy cluster Abell 2029

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Table 2.

Lower and upper bounds of the uniform prior distributions of the MCMC parameters and their marginal posterior credible interval.

Parameter	Prior range	Posterior inference
$γ'_{IN}$ $Mathematical equation: $ {\gamma{\prime}_{\rm{IN}}} $$	[0.8, 1.0]	0.96 ± 0.02
$γ'_{OUT}$ $Mathematical equation: $ {\gamma{\prime}_{\rm{OUT}}} $$	[1.1, 1.4]	1.23 ± 0.04
ν_★	[−1.0, 2.0]	0.2 ± 0.1
T_equiv,★/keV	[6.0, 11.0]	8.37 ± 0.19
R_★/kpc	[300, 750]	500 ± 50
M₂₀₀/(10¹⁵ M_⊙)	[0.5, 1,4]	1.06 ± 0.05
lnc₂₀₀	[0.8, 2.5]	1.68 ± 0.04
u_peak/(km s⁻¹)	[50, 350]	195 ± 23
R_peak/kpc	[150, 650]	391 ± 145
log ξ	[0.5, 2.5]	–
α_inf	[0, 0.2]	0.01 ± 0.01
α₀	[0, 0.2]	0.01
R_CEN	[1, 150]	98 ± 11
$γ'_{CEN}$ $Mathematical equation: $ {\gamma{\prime}_{\rm{CEN}}} $$	[0.5, 0.9]	0.71 ± 0.02
η	[0.5, 1.5]	0.96 ± 0.1
log ϵ_N	[−1.5, 1.2]	−(0.4 ± 0.2)
log ϵ_T	[−1.5, 1.2]	−(0.9 ± 0.3)
log ϵ_SZ	[−1.5, 1.2]	−(1.2 ± 0.3)

Notes. First column: parameter. Second column: range between lower and upper bounds of the uniform prior distribution. Third column: median value, with the corresponding error. As it is standard, we leave the third column empty if the posterior inference is not significant with respect to the prior.

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