Table 6
Comparison of the different mass estimators.
| MX − MY | R | ⟨ MY/MX ⟩ | σ M Y / M X | ⟨ MY/MX ⟩ g | σ ⊥ |
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|
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| MJ − Mc | R 200 | 1.04 ± 0.06 | 0.20 ± 0.05 | 1.02 ± 0.06 | 0.06 ± 0.01 |
| MJ − MV | R 200 | 1.15 ± 0.05 | 0.16 ± 0.02 | 1.14 ± 0.05 | 0.04 ± 0.01 |
| Mc − MV | R 200 | 1.14 ± 0.08 | 0.23 ± 0.05 | 1.11 ± 0.08 | 0.07 ± 0.02 |
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| MHE − MJ | R 500 | 1.22 ± 0.18 | 0.51 ± 0.15 | 1.12 ± 0.17 | 0.13 ± 0.04 |
| MHE − Mc | R 500 | 1.32 ± 0.18 | 0.51 ± 0.13 | 1.22 ± 0.17 | 0.13 ± 0.03 |
| MHE − MV | R 500 | 1.51 ± 0.26 | 0.75 ± 0.22 | 1.33 ± 0.25 | 0.17 ± 0.05 |
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|
R 200 | 0.92 ± 0.02 | 0.08 ± 0.02 | 0.92 ± 0.03 | 0.03 ± 0.01 |
|
R 200 | 0.85 ± 0.03 | 0.10 ± 0.02 | 0.84 ± 0.03 | 0.04 ± 0.01 |
|
R 200 | 0.86 ± 0.04 | 0.11 ± 0.03 | 0.85 ± 0.04 | 0.04 ± 0.01 |
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|
R 500 | 1.17 ± 0.18 | 0.53 ± 0.14 | 1.06 ± 0.17 | 0.14 ± 0.04 |
|
R 500 | 1.22 ± 0.17 | 0.49 ± 0.14 | 1.13 ± 0.16 | 0.13 ± 0.03 |
|
R 500 | 1.46 ± 0.26 | 0.76 ± 0.18 | 1.26 ± 0.26 | 0.18 ± 0.04 |
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|
R 200 | 0.88 ± 0.03 | 0.11 ± 0.02 | 0.87 ± 0.04 | 0.04 ± 0.01 |
|
R 200 | 0.84 ± 0.04 | 0.13 ± 0.03 | 0.83 ± 0.04 | 0.05 ± 0.01 |
|
R 200 | 0.82 ± 0.06 | 0.17 ± 0.04 | 0.80 ± 0.06 | 0.07 ± 0.01 |
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R 500 | 0.98 ± 0.09 | 0.25 ± 0.07 | 0.94 ± 0.10 | 0.10 ± 0.03 |
|
R 500 | 1.00 ± 0.10 | 0.30 ± 0.06 | 0.96 ± 0.11 | 0.10 ± 0.03 |
|
R 500 | 1.08 ± 0.13 | 0.37 ± 0.08 | 1.01 ± 0.14 | 0.13 ± 0.04 |
Notes. Columns: (1) pair of mass estimators. MJ, Mc, MV, and MHE refers to the Jeans, caustic, virial theorem, and hydrostatic estimators, respectively. The superscript RS and MB indicate masses derived from the red-sequence galaxies and the clusters’ main body, respectively. (2) Aperture within which the masses are estimated. The R200 were obtained with the Jeans analysis (fourth column of Table 2), whereas the R500 come from the X-ray analysis. (3) Arithmetic mean of the mass ratio. (4) Standard deviation of the clusters around the mean ratio. (5) Geometrical mean of the mass ratio. (6) Logarithmic scatter (base 10) of the orthogonal residuals with respect to the geometrical mean ratio.
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