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Table 2

Density laws where ρ0 is the local mass density, d0 a normalization factor to have a density of 1 at the solar position, kflare the flare factor and in kpc with ϵ being the axis ratio and (R,z) the cylindrical galactic coordinates. Local density ρ0 and axial ratio ϵ can be found in Table 1.

Population Density laws

Thin disc
with hR +  = 5000 pc and hR = 3000 pc
if age  ≤  0.15 Gyr

with hR +  = 2530 pc and hR = 1320 pc
if age  > 0.15 Gyr

Thick disc if |z| ≤ xl,xl = 72 pc

with hR = 4000 pc and hz = 1200 pc
if |z| > xl,xl = 72 pc

Spheroid if a ≤ ac, ac = 500 pc
if a > ac, ac = 500 pc

Bulge

with

Notes. For simplicity the disc density law is given here without the warp and flare (see text for their characteristics). For the bulge, x,y,z are in the bulge reference frame and values of N,x0, y0, z0, Rc as well as angles from the main axis to the Galaxy reference frame are given in Robin et al. (2003, Table 5).

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