Table D.1
Results of the mass distribution modeling of the rotation curve (1D) and velocity field (2D) of M 99.
| Axisymmetric case | Asymmetric case | |||||
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| Centered-halo | 1D | 2D | 2D+vR | 2D | 2D+vR | |
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| EIN | ρ -2 | 0.9 ± 3.7 | 1.0 ± 1.6 | 1.3 ± 1.8 | 3.1 ± 2.8 | 3.5 ± 2.9 |
| r -2 | 48.30 ± 126.13 | 43.11 ± 40.88 | 38.43 ± 32.56 | 22.31 ± 12.01 | 21.05 ± 10.4 | |
| n | 6.3 ± 6.2 | 6.1 ± 2.3 | 5.8 ± 2.0 | 4.3 ± 1.3 | 4.2 ± 1.2 | |
| d.o.f. | 51 | 8999 | 8999 | 8999 | 8999 | |
| NFW | v 200 | 204.7 ± 22.9 | 202.6 ± 8.6 | 204.8 ± 8.6 | 209.3 ± 9.4 | 210.9 ± 9.3 |
| c | 14.5 ± 1.9 | 14.7 ± 0.7 | 14.6 ± 0.7 | 14.2 ± 0.7 | 14.1 ± 0.7 | |
| d.o.f. | 52 | 9000 | 9000 | 9000 | 9000 | |
| PIS | ρ0 | 274.9 ± 45.0 | 275.3 ± 17.2 | 270.6 ± 16.3 | 247.3 ± 14.9 | 245.1 ± 14.3 |
| r c | 2.06 ± 0.22 | 2.06 ± 0.09 | 2.09 ± 0.08 | 2.22 ± 0.09 | 2.24 ± 0.09 | |
| d.o.f. | 52 | 9000 | 9000 | 9000 | 9000 | |
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| Shifted-halo | – | 2D | 2D+vR | 2D | 2D+vR | |
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| EIN | ρ -2 | – | 26.2 ± 1.6 | 27.0 ± 1.6 | 26.1 ± 1.50 | 26.6 ± 1.3 |
| r -2 | – | 7.11 ± 0.20 | 7.19 ± 0.16 | 7.22 ± 0.19 | 7.33 ± 0.16 | |
| n | – | 0.8 ± 0.1 | 0.6 ± 0.1 | 0.7 ± 0.1 | 0.6 ± 0.1 | |
| δ x | – | −0.65 ± 0.06 | −0.75 ± 0.06 | −0.46 ± 0.06 | −0.57 ± 0.06 | |
| δ y | – | −2.28 ± 0.10 | −2.51 ± 0.10 | −2.42 ± 0.10 | −2.64 ± 0.10 | |
| d.o.f. | – | 8997 | 8997 | 8997 | 8997 | |
| NFW | v200 | – | 250.5 ± 14.0 | 279.0 ± 17.8 | 269.8 ± 16.9 | 302.6 ± 22.0 |
| c | – | 11.5 ± 0.7 | 10.3 ± 0.7 | 10.6 ± 0.7 | 9.4 ± 0.7 | |
| δ x | – | −0.57 ± 0.08 | −0.65 ± 0.07 | −0.39 ± 0.08 | −0.47 ± 0.07 | |
| δ y | – | −1.82 ± 0.12 | −2.15 ± 0.12 | −1.91 ± 0.12 | −2.23 ± 0.12 | |
| d.o.f. | – | 8998 | 8998 | 8998 | 8998 | |
| PIS | ρ0 | – | 143.1 ± 7.3 | 128.5 ± 6.1 | 132.3 ± 6.5 | 120.1 ± 5.6 |
| rc | – | 3.25 ± 0.12 | 3.54 ± 0.13 | 3.44 ± 0.13 | 3.72 ± 0.13 | |
| δx | – | −0.62 ± 0.07 | −0.69 ± 0.07 | −0.44 ± 0.07 | −0.53 ± 0.06 | |
| δ y | – | −2.13 ± 0.10 | −2.37 ± 0.10 | −2.23 ± 0.10 | −2.46 ± 0.10 | |
| d.o.f. | – | 8998 | 8998 | 8998 | 8998 | |
Notes. For the axisymmetric case, fitted data are the rotation curve (1D) and the velocity field (2D) of M 99. For the asymmetric modeling, fitted data is only the velocity field. The 2D+vR modeling differs from pure 2D by the addition of radial motions to tangential velocities. The upper panel of the table (centered-halo) is for a dark matter halo whose dynamical center exactly coincides with that of the luminous matter (x = y = 0), while the bottom panel (shifted-halo) is for a dark matter halo whose gravity center is offset from the luminous center by δx and δy (kpc). The parameter v200 is in km s-1, rc and r-2 are in kpc, and ρ0 and ρ-2 in 10-3 M⊙ pc-3. D.o.f. are the number of degrees of freedom.
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