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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
fin 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
σv, s Log-Uniform (0.1 , 10) 2.822 0.316 (0.1, 10) 3.057 0.301
µα, 1 Uniform (1, 2) 1.599 0.007 (2, 3) 2.471 0.008
µα, 2 Uniform (−1, 1) −0.393 0.187 (−1, 1) 0.236 0.148
µα, 3 Uniform (−3, 3) 1.564 0.574 (−1.5, 4) 0.835 0.412
µα, s Log-Uniform (0.01 , 10) 0.025 0.010 (0.01, 10) 0.067 0.008
µδ, 1 Uniform (−2.15, 0) −2.066 0.011 (−3, 0) −1.591 0.009
µδ, 2 Uniform (−1, 3) 1.679 0.292 (−1, 2) −0.160 0.180
µδ, 3 Uniform (−5, 5) −1.877 0.807 (−5, 2) −0.671 0.510
σμδ,s${\sigma _{{\mu _\delta },s}}$ Log-Uniform (0.01 , 10) 0.053 0.014 (0.01, 10) 0.064 0.008
[ 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
vb𝑔 Uniform (−100, 50) −48.175 3.049 (−60, 50) −39.708 2.540
σv, b𝑔 Log-Uniform (0.1 , 1000) 83.650 2.108 (0.1, 1000) 98.725 1.812
µα, b𝑔 Uniform (0, 3) 1.860 0.024 (0, 3) 2.330 0.018
σμα,bg${\sigma _{{\mu _\alpha },bg}}$ Log-Uniform (0.1, 100) 0.667 0.018 (0.1, 100) 0.684 0.013
µδ, b𝑔 Uniform (−4, 0) −1.840 0.028 (−4, 0) −1.529 0.018
σμδ,bg${\sigma _{{\mu _\delta },bg}}$ Log-Uniform (0.01 , 100) 0.768 0.021 (0.01, 100) 0.701 0.013
[ Fe/H ]bg¯$\overline {{{\left[ {{\rm{Fe}}/{\rm{H}}} \right]}_{bg}}} $ Uniform (−5, 1) −1.315 0.020 (−5, 1) −1.002 0.014
σ[Fe/H],bg${\sigma _{[{\rm{Fe}}/{\rm{H}}],bg}}$ 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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