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Table 2

Best-fit parameters for the global properties of Sculptor’s stellar component.

One-population m (dex/deg) 0 σ 𝒱 (km s−1) σ𝒱 (km s−1) Rh (deg) ΔBIC
All 0.690.06+0.06$\[0.69_{-0.06}^{+0.06}\]$ 1.640.02+0.02$\[-1.64_{-0.02}^{+0.02}\]$ 0.4000.008+0.009$\[0.400_{-0.008}^{+0.009}\]$ 111.20.3+0.3$\[111.2_{-0.3}^{+0.3}\]$ 9.70.2+0.2$\[9.7_{-0.2}^{+0.2}\]$ 0.2070.005+0.005$\[0.207_{-0.005}^{+0.005}\]$ 0

Two-populations f σ 𝒱 (km s−1) σ𝒱 (km s−1) Rh (deg) ΔBIC

MR 0.340.04+0.04$\[0.34_{-0.04}^{+0.04}\]$ 1.440.03+0.03$\[-1.44_{-0.03}^{+0.03}\]$ 0.270.02+0.02$\[0.27_{-0.02}^{+0.02}\]$ 111.00.4+0.4$\[111.0_{-0.4}^{+0.4}\]$ 6.40.3+0.3$\[6.4_{-0.3}^{+0.3}\]$ 0.1290.008+0.008$\[0.129_{-0.008}^{+0.008}\]$ −40
MP 0.660.04+0.04$\[0.66_{-0.04}^{+0.04}\]$ 2.020.02+0.02$\[-2.02_{-0.02}^{+0.02}\]$ 0.340.01+0.01$\[0.34_{-0.01}^{+0.01}\]$ 111.30.4+0.4$\[111.3_{-0.4}^{+0.4}\]$ 11.10.3+0.3$\[11.1_{-0.3}^{+0.3}\]$ 0.270.01+0.01$\[0.27_{-0.01}^{+0.01}\]$

Three-populations f σ 𝒱 (km s−1) σ𝒱 (km s−1) Rh(deg) ΔBIC

MR 0.320.03+0.03$\[0.32_{-0.03}^{+0.03}\]$ 1.410.03+0.03$\[-1.41_{-0.03}^{+0.03}\]$ 0.250.02+0.02$\[0.25_{-0.02}^{+0.02}\]$ 111.10.4+0.4$\[111.1_{-0.4}^{+0.4}\]$ 6.50.3+0.3$\[6.5_{-0.3}^{+0.3}\]$ 0.1260.007+0.008$\[0.126_{-0.007}^{+0.008}\]$
MP 0.660.03+0.03$\[0.66_{-0.03}^{+0.03}\]$ 2.000.02+0.02$\[-2.00_{-0.02}^{+0.02}\]$ 0.300.01+0.01$\[0.30_{-0.01}^{+0.01}\]$ 110.90.4+0.4$\[110.9_{-0.4}^{+0.4}\]$ 10.80.3+0.3$\[10.8_{-0.3}^{+0.3}\]$ 0.260.01+0.01$\[0.26_{-0.01}^{+0.01}\]$ −69
Pop 3 0.0170.005+0.007$\[0.017_{-0.005}^{+0.007}\]$ 2.90.2+0.3$\[-2.9_{-0.2}^{+0.3}\]$ 0.50.1+0.1$\[0.5_{-0.1}^{+0.1}\]$ 125.52.6+2.4$\[125.5_{-2.6}^{+2.4}\]$ 7.71.7+2.3$\[7.7_{-1.7}^{+2.3}\]$ 1.320.5+0.9$\[1.32_{-0.5}^{+0.9}\]$

Notes. Best fit parameters for the three models explored for the chemo-dynamical analysis. Col. 1 lists the population the parameter is referring to; Col. 2 shows the fraction of the total stars belonging to that population; Cols. 3 and 4 list mean and dispersion for the metallicity distribution; Cols. 5 and 6 list the mean and dispersion for the velocity distribution; Col. 7 show the half-light radius of the Plummer number density profile. It is important to note that since this profile does not fit properly the density distribution of the third population, its Rh should not be considered representative; finally, Col. 8 lists the difference of the BIC between the one-population model and the other models.

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