S5: New insights from deep spectroscopic observations of the tidal tails of the globular clusters NGC 1261 and NGC 1904

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Volume 693 (January 2025)

A&A, 693 (2025) A69

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Table 1

Prior range and best-fit values for the mixture model parameters for NGC 1261 and for NGC 1904.

Parameters	Priors	Ranges NGC 1261	Best-fit values NGC 1261	Errors NGC 1261	Ranges NGC 1904	Best-fit values NGC 1904	Errors NGC 1904
Stream component
f_in	Uniform	(0, 1)	0.705	0.036	(0, 1)	0.639	0.030
fout	Uniform	(0, 1)	0.046	0.010	(0, 1)	0.034	0.005
v₁	Uniform	(−160, −80)	−84.037	0.381	(35, 41)	38.283	0.333
v₂	Uniform	(0, 125)	72.216	8.855	(−40, 125)	1.355	6.412
v₃	Uniform	(−300, 100)	−78.271	23.547	(−300, 100)	−54.988	17.449
σ_{v, s}	Log-Uniform	(0.1 , 10)	2.822	0.316	(0.1, 10)	3.057	0.301
µ_{α, 1}	Uniform	(1, 2)	1.599	0.007	(2, 3)	2.471	0.008
µ_{α, 2}	Uniform	(−1, 1)	−0.393	0.187	(−1, 1)	0.236	0.148
µ_{α, 3}	Uniform	(−3, 3)	1.564	0.574	(−1.5, 4)	0.835	0.412
µ_{α, s}	Log-Uniform	(0.01 , 10)	0.025	0.010	(0.01, 10)	0.067	0.008
µ_{δ, 1}	Uniform	(−2.15, 0)	−2.066	0.011	(−3, 0)	−1.591	0.009
µ_{δ, 2}	Uniform	(−1, 3)	1.679	0.292	(−1, 2)	−0.160	0.180
µ_{δ, 3}	Uniform	(−5, 5)	−1.877	0.807	(−5, 2)	−0.671	0.510
$σ_{μ_{δ}, s}$ ${\sigma _{{\mu _\delta },s}}$	Log-Uniform	(0.01 , 10)	0.053	0.014	(0.01, 10)	0.064	0.008
$\bar{{[Fe / H]}_{s}}$ $\overline {{{\left[ {{\rm{Fe}}/{\rm{H}}} \right]}_s}}$	Uniform	(−4, 0)	−1.285	0.023	(−4, 0)	−1.605	0.021
$σ_{[Fe / H], s}$ ${\sigma _{[{\rm{Fe}}/{\rm{H}}],s}}$	Log-Uniform	(0.001, 1)	0.196	0.020	(0.001, 1)	0.210	0.017

Background component
v_b𝑔	Uniform	(−100, 50)	−48.175	3.049	(−60, 50)	−39.708	2.540
σ_{v, b𝑔}	Log-Uniform	(0.1 , 1000)	83.650	2.108	(0.1, 1000)	98.725	1.812
µ_{α, b𝑔}	Uniform	(0, 3)	1.860	0.024	(0, 3)	2.330	0.018
$σ_{μ_{α}, b g}$ ${\sigma _{{\mu _\alpha },bg}}$	Log-Uniform	(0.1, 100)	0.667	0.018	(0.1, 100)	0.684	0.013
µ_δ, _b𝑔	Uniform	(−4, 0)	−1.840	0.028	(−4, 0)	−1.529	0.018
$σ_{μ_{δ}, b g}$ ${\sigma _{{\mu _\delta },bg}}$	Log-Uniform	(0.01 , 100)	0.768	0.021	(0.01, 100)	0.701	0.013
$\bar{{[Fe / H]}_{b g}}$ $\overline {{{\left[ {{\rm{Fe}}/{\rm{H}}} \right]}_{bg}}}$	Uniform	(−5, 1)	−1.315	0.020	(−5, 1)	−1.002	0.014
$σ_{[Fe / H], b g}$ ${\sigma _{[{\rm{Fe}}/{\rm{H}}],bg}}$	Log-Uniform	(0.1, 100)	0.480	0.015	(0.1, 100)	0.493	0.011

Notes. Radial velocity and its dispersion is in units of km s⁻¹, and proper motions and their dispersions are in units of mas yr⁻¹. A horizontal line has been added to separate the parameters fitting for the stream component and those fitting for the background component. The dispersions mentioned all correspond to the intrinsic dispersion of the respective parameter distribution and not the total one.

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