Fig. 17

Jeans Newtonian and MOND modeling of the projected velocity dispersion of NGC 5846. The thick lines are for isotropic cases and the thin lines are for fits based on βlit. Upper panel: isotropic Jeans modeling of the projected velocity dispersion of NGC 5846 using the Newtonian approach. For the Newtonian mass-follows-light approach, the three regions are as follows: inner region (interior to 2Re, solid blue lines), intermediate region (between 2Re and 6Re, long dashed green lines), and outer region (beyond 6Re, short dashed red lines). The mass-to-light ratio in these regions are M/LB =7.0 (8.8), 53.6 (62.8) and 88.3 (105.0) for the thick (thin) lines. The NFW models with M∗/LB = 9.0(8.5), rs = 300 arcsec, and ρs = 0.0450(0.0600) M⊙ pc-3 are shown with the thick (thin) dotted magenta lines. The thick dot-dashed magenta line is for the isotropic NFW model for which M/LB = 7.0, rs = 350 arcsec, and ρs = 0.0200 M⊙ pc-3. Lower panel: isotropic MOND models of the projected velocity dispersion of NGC 5846 for three interpolation functions μ(r) split into two regions. The inner region is interior to 2Re, and the outer region is beyond 2Re. The standard MOND model is presented with the solid blue lines for M/LB = 6.7(8.5) (inner region) and M/LB = 55.2(66.0) (outer region); the simple MOND model is presented with the dotted red lines for M/LB = 5.7(7.3) (inner region) and M/LB = 44.8(54.2) (outer region), and the toy MOND model is presented with the dashed red lines for M/LB = 4.4(5.7) (inner region) and M/LB = 34.2(41.6) (outer region). In both panels, one effective radius is indicated by a vertical dotted line.
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