Open Access

Table 1.

Definitions of key variables.

Variable Definition Reference
Model
n Sérsic index Sect. 2.1
Re Projected 2D Sérsic effective radius Sect. 2.1
q0 Intrinsic axis ratio c/a Sect. 2.1

Geometry
R Radius in the midplane Sect. 2.1
z Height above the midplane Sect. 2.1
Spheroid isodensity surface distance Sect. 2.1

Derived
ρ(m) 3D deprojected density Sect. 2.1
vcirc(R) Circular velocity in the midplane, accounting for non-spherical potentials Sect. 2.2
Msph(< r = R) Mass enclosed within a sphere of radius r = R Sect. 2.3
Mspheroid(< m = R) Mass enclosed within spheroid with isodensity surface distance m = R and intrinsic axis ratio q0 Sect. 2.3
r1/2, mass, 3D 3D spherical half-mass radius (assuming constant M/L) Sect. 2.4
k3D(Re) 3D enclosed mass virial coefficient relating vcirc(R) to Msph(< r = R) Sect. 3
ktot(R) Total virial coefficient relating vcirc(R) to Mtot Sect. 3
Dark matter fraction defined as ratio of dark matter to total mass enclosed within a sphere of radius r = R Sect. 4.2
Dark matter fraction defined as ratio of dark matter to total circular velocities squared at radius R Sect. 4.2
α(R) Pressure support correction (= − dlnρg/dlnR for constant dispersion) Sect. 5.1

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