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Table 4.

Basic quantities of the analytical model galaxies in the kappa space.

MDM Ms Re MB MV σ IeB IeV k1B k2B k3B k1V k2V k3V
Decreasing ΔTsfr logΔTsfr = 0.68 log Ms + 1.24 and ratio m = MDM/Ms = 25
8 6.60 −1.87 −24.38 −22.99 1.69 6.70 6.14 1.062 7.616 −0.839 1.062 7.160 −0.517
9 7.60 −1.50 −25.28 −24.14 2.01 6.32 5.87 1.769 7.415 −0.468 1.769 7.045 −0.207
10 8.60 −1.10 −26.17 −25.30 2.30 5.88 5.53 2.476 7.129 −0.097 2.476 6.844 0.103
11 9.60 −0.62 −27.07 −26.46 2.56 5.27 5.02 3.183 6.646 0.273 3.183 6.448 0.414
12 10.60 −0.01 −27.96 −27.61 2.76 4.41 4.27 3.890 5.856 0.644 3.890 5.742 0.724
13 11.60 0.77 −28.85 −28.77 2.86 3.21 3.17 4.597 4.646 1.015 4.597 4.618 1.034
14 12.60 1.76 −29.75 −29.93 2.87 1.57 1.64 5.305 2.905 1.385 5.305 2.963 1.344
15 13.60 3.02 −30.64 −31.08 2.74 −0.59 −0.41 6.012 0.521 1.756 6.012 0.665 1.654
16 14.60 4.59 −31.54 −32.24 2.45 −3.36 −3.08 6.719 −2.615 2.127 6.719 −2.386 1.965
Increasing ΔTsfr logΔTsfr = −0.02 log Ms + 10.18 and ratio m = MDM/Ms = 25
6 4.60 −2.69 −9.09 −9.08 1.09 2.21 2.21 −0.352 3.798 1.537 −0.352 3.794 1.540
7 5.60 −2.25 −11.64 −11.62 1.38 2.36 2.35 0.355 3.973 1.526 0.355 3.966 1.531
8 6.60 −1.87 −14.18 −14.16 1.69 2.62 2.61 1.062 4.285 1.515 1.062 4.276 1.522
9 7.60 −1.50 −16.73 −16.70 2.00 2.91 2.89 1.769 4.624 1.505 1.769 4.613 1.513
10 8.60 −1.10 −19.28 −19.24 2.30 3.12 3.10 2.476 4.878 1.494 2.476 4.864 1.503
11 9.60 −0.62 −21.83 −21.78 2.56 3.17 3.15 3.183 4.935 1.483 3.183 4.919 1.494
Increasing ΔTsfr logΔTsfr = −0.02 log Ms + 10.18 and ratio m = MDM/Ms = 5
6 5.30 −2.69 −10.87 −10.85 1.44 2.93 2.92 0.142 4.665 1.529 0.142 4.659 1.533
7 6.30 −2.25 −13.42 −13.39 1.73 3.07 3.06 0.849 4.839 1.518 0.849 4.831 1.524
8 7.30 −1.87 −15.97 −15.93 2.04 3.33 3.32 1.556 5.152 1.507 1.556 5.141 1.515
9 8.30 −1.50 −18.51 −18.47 2.35 3.62 3.60 2.263 5.491 1.497 2.263 5.478 1.506
10 9.30 −1.10 −21.06 −21.04 2.65 3.83 3.81 2.970 5.745 1.486 2.970 5.729 1.497
11 10.30 −0.62 −23.61 −23.54 2.91 3.88 3.86 3.677 5.802 1.475 3.677 5.784 1.488

Notes. MD and Ms are the total halo mass and the hosted stellar mass, both are expressed by the logarithm of the value in solar units, Re is the half-mass (light) radius of the stellar content (logarithmic in Kpc), MB and MV the absolute magnitudes of the stellar component approximated to a SSP of suitable mean metallicity, σ the logarithm of the velocity dispersion in km s−1, IeB and IeV the logarithm of the surface brightness in solar units per pc2, and, finally, k1B, k2B, k3B, k1V, k2V, and k3V in the two bands.

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