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Fig. 3.

image

Accuracy of deprojected density (top 6 panels) and mass (3 bottom panels) of the different analytical approximations (PS: Prugniel & Simien 1997; LGM: Lima Neto et al. 1999; SP: Simonneau & Prada 1999, 2004; Trujillo+02: Trujillo et al. 2002; EV: Emsellem & van de Ven 2008) and our new one (Eq. (28), with green-colored titles) as a function of both Sérsic index (abscissae) and radius (ordinates). The color scale given in the vertical color bars is linear for log ratios between −0.001 and 0.001 and logarithmic beyond. The gray region and green curves in the upper left of the density panels are for regions where the numerical integration reached the underflow limit or density 10−30 times ρ(Re), respectively, because of the very rapid decline of density at large radii for low n, and also covers n <  1, which is not covered by the SP model. We note that the EV and Trujillo+02 models perform better at specific values of n that are often missed in our grid.

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