Open Access
Table 1.
Summary of variables and symbols used throughout Sect. 3.
| Symbol | Meaning |
|---|---|
| x′, y′, z′ | Cartesian coordinates on the plane of the sky, with z′ along the LOS |
| x, y, z | Intrinsic cartesian coordinates with x and z aligned with the galaxy long and short axis |
| R, ϕ, z | Intrinsic cylindrical coordinate system |
| βz | Orbital anisotropy parameter |
| ρ* | 3D tracer (i.e., luminosity) density |
| ψD | 3D gravitational potential |
 ,  ,  |
Intrinsic 2nd-order velocity moments |
 |
2nd-order velocity moment along the LOS |
| μ | Surface brightness |
| ζ | Inclination |
| Υ | Radially constant stellar mass-to-light ratio |
| i | Subscript denoting the individual Gaussians related to the mass density distribution |
| cos(ϕ) = x/R | Intrinsic coordinate x/cylindrical radius R |
| ρi | Deprojected mass density of Gaussian component i |
σi &  |
Deprojected & projected dispersion of Gaussian component i |
qi &  |
Deprojected & projected flattening of Gaussian component i |
| Mi | Total mass of Gaussian component i |
| ψD, i | 3D gravitational potential of Gaussian component i |
| j | Subscript denoting the individual Gaussians related to the brightness and luminosity distribution |
| ρ*, j | Deprojected luminosity density of Gaussian component j |
σj &  |
Deprojected & projected dispersion of Gaussian component j |
qi &  |
Deprojected & projected flattening of Gaussian component j |
| Lj | Total luminosity of Gaussian component j |
 |
2nd-order velocity moment created by Gaussian component j of the tracer distribution |
| Σsmd | (Projected) surface mass density |
| Σcrit | Critical surface mass density |
| κcomposite | Convergence profile of composite mass model |
| κint | (Constant) convergence of internal mass sheet |
| κmst, int | Total convergence including internal mass sheet |
| κext | external convergence |
| DΔt | Time-delay distance |
| Dd | Angular diameter distance to lens |
| Ds | Angular diameter distance to source |
| Dds | Angular diameter distance between lens and source |
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