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 |
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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 |
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Dark matter fraction defined as ratio of dark matter to total mass enclosed within a sphere of radius r = R | Sect. 4.2 |
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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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