Characteristics of approximations to the mass and density profiles of the deprojected Sérsic model. Left two panels: most precise approximation. SP stands for Simonneau & Prada (2004), LGM stands for Lima Neto et al. (1999) and VM stands for the new VM20bis coefficients applied to the Vitral & Mamon (2020) method. The white curves indicate a thin region preferred by the LGM approximation. Right two panels: accuracy of deprojected mass (left) and density (right) of the hybrid model using VM20bis coefficients, LGM99 and SP04, with respect to the numerical integration done with MATHEMATICA. This is the analog of Fig. 3 of VM20: the color scale is linear for log ratios between −0.001 and 0.001 and logarithmic beyond. Both sets of figures employ a [100 × 150] grid of [log n × log(r/Re)], which is shown in all four panels. The gray region in the upper left of each of the density panels is for regions where the numerical integration of MATHEMATICA reached the underflow limit because of the very rapid decline of density at large radii for low n.
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