Table 3.
Median fractional 3D and 2D residuals obtained at 0.02 R500 (third column), R500 (fourth column), 2 R500 (fifth column), and over the full radial range (sixth column) for the fitting schemes and samples in Sects. 5.1–5.3.
Sample | Case | 0.02 R500 | R500 | 2 R500 | Full range |
---|---|---|---|---|---|
3D–3D fit with fine binning (48 data points) | |||||
Full sample | 3D | −0.010 ± 0.060 | 0.010 ± 0.051 | −0.020 ± 0.120 | −0.001 ± 0.042 |
MD20 | 3D | −0.018 ± 0.017 | 0.014 ± 0.085 | 0.093 ± 0.128 | 0.000 ± 0.048 |
MR20 | 3D | 0.035 ± 0.065 | 0.014 ± 0.035 | −0.060 ± 0.045 | −0.002 ± 0.032 |
MI20 | 3D | 0.002 ± 0.060 | 0.027 ± 0.061 | −0.125 ± 0.132 | 0.001 ± 0.052 |
MS20 | 3D | −0.033 ± 0.048 | 0.002 ± 0.045 | −0.037 ± 0.110 | −0.001 ± 0.029 |
2D–3D fit with fine binning (48 data points) | |||||
Full sample | 2D | 0.009 ± 0.027 | 0.004 ± 0.040 | −0.018 ± 0.095 | −0.002 ± 0.027 |
Full sample | 3D | 0.021 ± 0.110 | 0.014 ± 0.052 | −0.018 ± 0.095 | −0.003 ± 0.045 |
MD20 | 2D | −0.001 ± 0.037 | −0.009 ± 0.065 | 0.067 ± 0.105 | 0.000 ± 0.033 |
MD20 | 3D | −0.021 ± 0.120 | 0.021 ± 0.088 | 0.067 ± 0.105 | −0.002 ± 0.058 |
MR20 | 2D | 0.020 ± 0.035 | 0.016 ± 0.031 | −0.050 ± 0.037 | −0.003 ± 0.023 |
MR20 | 3D | 0.089 ± 0.120 | 0.015 ± 0.035 | −0.050 ± 0.037 | −0.003 ± 0.035 |
MI20 | 2D | 0.019 ± 0.015 | 0.014 ± 0.035 | −0.106 ± 0.120 | 0.000 ± 0.038 |
MI20 | 3D | 0.049 ± 0.135 | 0.025 ± 0.070 | −0.106 ± 0.120 | −0.001 ± 0.064 |
MS20 | 2D | 0.010 ± 0.013 | 0.006 ± 0.040 | −0.036 ± 0.065 | −0.002 ± 0.018 |
MS20 | 3D | 0.015 ± 0.080 | 0.012 ± 0.043 | −0.036 ± 0.065 | −0.002 ± 0.031 |
2D–3D fit with coarse binning (12 data points) | |||||
Full sample | 2D | 0.001 ± 0.008 | −0.026 ± 0.073 | – | −0.002 ± 0.026 |
Full sample | 3D | 0.003 ± 0.071 | −0.010 ± 0.064 | −0.07 ± 0.185 | −0.006 ± 0.051 |
MD20 | 2D | −0.003 ± 0.010 | −0.009 ± 0.065 | – | −0.004 ± 0.028 |
MD20 | 3D | 0.006 ± 0.045 | −0.010 ± 0.80 | 0.113 ± 0.243 | −0.006 ± 0.058 |
MR20 | 2D | −0.001 ± 0.007 | −0.024 ± 0.056 | - | −0.003 ± 0.021 |
MR20 | 3D | 0.069 ± 0.063 | 0.006 ± 0.50 | −0.138 ± 0.101 | −0.006 ± 0.042 |
MI20 | 2D | −0.002 ± 0.007 | −0.014 ± 0.051 | – | −0.003 ± 0.030 |
MI20 | 3D | −0.014 ± 0.047 | 0.012 ± 0.50 | −0.174 ± 0.175 | −0.007 ± 0.065 |
MS20 | 2D | −0.000 ± 0.006 | −0.025 ± 0.060 | – | 0.000 ± 0.018 |
MS20 | 3D | 0.034 ± 0.055 | 0.005 ± 0.60 | −0.08 ± 0.165 | 0.000 ± 0.036 |
2D–3D fit with coarse binning (6 data points) | |||||
Full sample | 2D | −0.006 ± 0.022 | −0.022 ± 0.070 | – | −0.008 ± 0.038 |
Full sample | 3D | 0.050 ± 0.128 | −0.004 ± 0.090 | −0.080 ± 0.235 | −0.014 ± 0.075 |
MD20 | 2D | −0.008 ± 0.027 | −0.016 ± 0.070 | – | −0.009 ± 0.040 |
MD20 | 3D | 0.005 ± 0.060 | 0.002 ± 0.115 | 0.101 ± 0.255 | −0.016 ± 0.082 |
MR20 | 2D | −0.016 ± 0.015 | −0.018 ± 0.062 | – | −0.009 ± 0.032 |
MR20 | 3D | 0.073 ± 0.130 | 0.009 ± 0.075 | −0.131 ± 0.140 | −0.016 ± 0.060 |
MI20 | 2D | −0.004 ± 0.0175 | −0.040 ± 0.055 | – | −0.009 ± 0.040 |
MI20 | 3D | 0.024 ± 0.035 | 0.000 ± 0.070 | −0.194 ± 0.225 | −0.017 ± 0.090 |
MS20 | 2D | −0.008 ± 0.0150 | −0.008 ± 0.065 | – | −0.003 ± 0.025 |
MS20 | 3D | 0.102 ± 0.110 | 0.011 ± 0.95 | −0.072 ± 0.200 | −0.006 ± 0.050 |
Notes. The errors are given at 1-σ level. The reconstructed 2D and 3D temperature profiles at the last point (i.e 2 R500) are by construction identical for the 2D–3D fit with fine binning case. The fine binning cases represent high resolution simulated temperature profiles, and the coarse binning cases represent lower resolution observational-like temperature profiles. The constraints on the residuals become weaker with decreasing resolution. Even in the coarse binning cases, the residuals remain consistently below 5% within the fitting range (i.e. [0.02–1] R500). In all the cases, MS20 and MR20 sub-samples provide the tightest constraints across the full radial range.
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