Table 7
Values of the of fit of mass-to-light ratios based on the Jeans modeling for the MOND models.
Name | β | Standard | χ 2 | Simple | χ 2 | Toy | χ 2 | ||
MOND | MOND | MOND | |||||||
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | ||
|
|||||||||
NGC 1400 | 0.00 | 5.8 ± 1.2 | 0.87 | 4.8 ± 1.0 | 0.44 | 3.7 ± 0.9 | 0.42 | ||
–0.20 | 4.7 ± 1.0 | 0.63 | 3.8 ± 0.8 | 0.31 | 3.0 ± 0.6 | 0.30 | |||
β lit | 7.6 ± 1.6 | 2.16 | 6.3 ± 1.5 | 1.39 | 5.0 ± 1.0 | 1.25 | |||
NGC 1407 | 0.00 | 7.0 ± 0.8i | 5.75 | 5.6 ± 0.6i | 4.47 | 4.2 ± 0.4i | 3.97 | ||
0.00 | 37.0 ± 2.0o | 4.94 | 27.0 ± 3.6o | 3.94 | 20.6 ± 2.4o | 4.17 | |||
–0.20 | 4.5 ± 0.5i | 4.91 | 4.0 ± 0.4i | 4.26 | 3.0 ± 0.4i | 3.90 | |||
–0.20 | 29.8 ± 1.2o | 4.39 | 22.2 ± 2.8o | 3.76 | 17.2 ± 2.2o | 4.02 | |||
β lit | 9.0 ± 0.6i | 8.92 | 7.4 ± 0.8i | 6.19 | 5.8 ± 0.8i | 4.99 | |||
β lit | 45.4 ± 5.0o | 5.94 | 35.6 ± 4.8o | 4.68 | 27.6 ± 2.8o | 4.83 | |||
NGC 2768 | 0.00 | 7.6 ± 1.2 | 5.21 | 5.6 ± 1.0 | 5.80 | 4.4 ± 0.8 | 5.21 | ||
–0.20 | 5.9 ± 1.1 | 6.37 | 4.4 ± 1.0 | 6.70 | 3.4 ± 0.8 | 5.92 | |||
β lit | 10.2 ± 2.0 | 2.53 | 7.8 ± 1.6 | 3.22 | 6.0 ± 1.0 | 2.92 | |||
NGC 3115 | 0.00 | 12.0 ± 2.8i | 0.00 | 10.4 ± 2.6i | 0.01 | 8.1 ± 2.1i | 0.00 | ||
0.00 | 35.4 ± 5.2o | 5.26 | 26.4 ± 4.4o | 6.43 | 20.0 ± 3.2o | 6.52 | |||
–0.20 | 9.5 ± 2.3i | 0.00 | 8.1 ± 2.1i | 0.00 | 6.3 ± 1.7i | 0.00 | |||
–0.20 | 31.6 ± 4.8o | 5.46 | 23.4 ± 3.4o | 6.59 | 17.6 ± 3.0o | 6.64 | |||
β lit | 13.2 ± 1.9i | 0.01 | 11.9 ± 1.9i | 0.00 | 9.4 ± 2.4i | 0.00 | |||
β lit | 41.6 ± 5.4o | 4.68 | 31.8 ± 4.8o | 5.84 | 23.8 ± 3.8o | 6.00 | |||
NGC 3377 | 0.00 | 3.4 ± 1.0 | 0.80 | 2.6 ± 0.6 | 0.58 | 2.2 ± 0.4 | 0.46 | ||
–0.20 | 2.6 ± 0.8 | 0.92 | 2.2 ± 0.4 | 0.54 | 1.8 ± 0.4 | 0.57 | |||
β lit | 5.2 ± 1.4 | 0.46 | 3.8 ± 0.8 | 0.41 | 3.0 ± 0.6 | 0.40 | |||
NGC 4278 | 0.00 | 11.3 ± 2.7i | 0.65 | 9.6 ± 2.0i | 0.93 | 7.8 ± 2.6i | 0.76 | ||
0.00 | 22.4 ± 3.2o | 2.66 | 16.2 ± 2.2o | 3.96 | 12.4 ± 2.0o | 3.86 | |||
–0.20 | 8.2 ± 2.2i | 0.01 | 7.2 ± 2.0i | 0.91 | 5.6 ± 3.0i | 0.99 | |||
–0.20 | 17.0 ± 2.4o | 4.05 | 12.8 ± 2.0o | 4.04 | 9.8 ± 1.4o | 3.91 | |||
β lit | 17.2 ± 3.0i | 0.01 | 13.4 ± 3.2i | 0.38 | 11.6 ± 3.0i | 0.10 | |||
β lit | 28.0 ± 3.0o | 1.79 | 23.6 ± 3.2o | 3.89 | 19.4 ± 3.0o | 3.29 | |||
NGC 4365 | 0.00 | 20.4 ± 2.6i | 0.23 | 17.2 ± 2.2i | 0.75 | 13.4 ± 1.8i | 1.14 | ||
0.00 | 56.8 ± 10.0o | 0.50 | 43.2 ± 7.6o | 0.26 | 32.8 ± 6.4o | 0.26 | |||
–0.20 | 15.0 ± 2.0i | 0.40 | 12.6 ± 1.6i | 1.11 | 9.8 ± 1.4i | 1.50 | |||
–0.20 | 46.8 ± 7.8o | 0.39 | 35.4 ± 7.0o | 0.21 | 27.0 ± 4.8o | 0.22 | |||
β lit | 23.6 ± 2.8i | 0.30 | 20.2 ± 2.6i | 0.20 | 16.0 ± 2.2i | 0.35 | |||
β lit | 70.6 ± 11.0o | 0.89 | 54.4 ± 10.2o | 0.49 | 41.4 ± 7.8o | 0.47 | |||
NGC 4486 | 0.00 | 20.0 ± 0.6 | 33.69 | 15.4 ± 0.6 | 24.06 | 15.4 ± 1.6 | 24.36 | ||
–0.20 | 13.6 ± 1.2 | 32.31 | 11.6 ± 1.0 | 22.00 | 10.6 ± 1.0 | 20.36 | |||
β lit | 28.8 ± 4.8 | 53.54 | 25.8 ± 1.6 | 41.72 | 18.4 ± 1.2 | 30.94 | |||
NGC 4494 | 0.00 | 2.2 ± 0.4 | 0.05 | 1.6 ± 0.4 | 0.10 | 1.2 ± 0.2 | 0.20 | ||
–0.20 | 1.6 ± 0.2 | 0.13 | 1.2 ± 0.2 | 0.10 | 1.0 ± 0.2 | 0.42 | |||
β lit | 2.4 ± 0.2 | 1.54 | 1.8 ± 0.4 | 1.08 | 1.4 ± 0.2 | 1.34 | |||
NGC 5846 | 0.00 | 6.7 ± 1.5i | 0.00 | 5.7 ± 1.4i | 0.00 | 4.4 ± 1.1i | 0.00 | ||
0.00 | 55.2 ± 6.6o | 2.86 | 44.8 ± 6.0o | 2.59 | 34.2 ± 4.6o | 2.70 | |||
–0.20 | 5.1 ± 1.1i | 0.00 | 4.2 ± 1.2i | 0.00 | 3.3 ± 0.8i | 0.00 | |||
–0.20 | 50.0 ± 7.4o | 2.74 | 40.2 ± 5.6o | 2.56 | 30.6 ± 4.2o | 2.68 | |||
β lit | 8.5 ± 1.9i | 0.00 | 7.3 ± 1.7i | 0.00 | 5.7 ± 1.4i | 0.00 | |||
β lit | 66.0 ± 8.6o | 3.21 | 54.2 ± 8.0o | 2.69 | 41.6 ± 5.8o | 2.76 |
Notes. Column (1): name of the galaxy. Column (2): β parameter. Columns (3) and (4): standard MOND models and χ2 values. Columns (5) and (6): simple MOND models and χ2 values. Columns (7) and (8): toy MOND models and χ2 values. For all the MOND models, “i” indicates interior region (interior to ~ 3Re) and “o” denotes the outer region (beyond ~ 3Re). Two exceptions are for the galaxies denoted in italics (NGC 4365 and NGC 4486): their inner regions are interior to 1Re and 0.35Re, respectively. The best-fits in this Table and in Table 6 are highlighted in bold characters and denote the best model among the three mass models (Newtonian-noDM, Newtonian-DM, and MOND-noDM).
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