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Table 1.
Model parameters and assumed priors.
| Parameter | Units | Description | Default Prior |
|---|---|---|---|
| Geometrical Parameters of a Triaxial Ellipsoid | |||
| qICM, 1 | Minor-to-major axial ratio of the ICM distribution | 𝒰(0, 1) | |
| qICM, 2 | Intermediate-to-major axial ratio of the ICM distribution | 𝒰(qICM,1,1) | |
| cos θ | Cosine of the inclination angle of the ellipsoid major axis | 𝒰(0, 1) | |
| φ | deg | Second Euler angle | 𝒰 (−π/2, π/2) |
| ψ | deg | Third Euler angle | 𝒰 (−π/2, π/2) |
| Electron Density Profile | |||
| n0 | cm−3 | Central scale density of the distribution of electrons | 𝒰(10−6, 10) |
| ζc | kpc | Ellipsoidal core radius of the gas distribution | 𝒰(0, 103) |
| ζt | Mpc | Ellipsoidal truncation radius of the gas distribution (ζt > ζc) | 𝒰 (ζc/103, 3) |
| βe | Slope of the gas distribution (in the intermediate region) | 𝒰(0, 3) | |
| ηe | Slope of the gas distribution (inner) | 𝒰(0, 1) | |
| γe | Slope of the gas distribution (outer) | 𝒰(0, 5) | |
| Gas Pressure Profile | |||
| P0 | Normalization for the gNFW pressure profile | 𝒰(0, 102) | |
| c500 | Pressure profile concentration (r ∼ rs = R500c/c500) | δ(1.4) | |
| γp | Slope parameter for central region (r ≪ rs) | δ(0.3) | |
| αp | Slope parameter for intermediate region (r ∼ rs) | 𝒰(0, 5) | |
| βp | Slope parameter for outer region (r ≫ rs) | δ(5.4) | |
| Total Matter Density Profile | |||
| M200c | 1014 M⊙ | Total mass | 𝒰(1, 100) |
| c200c | Matter density profile concentration |  |
|
| px | |||
Notes. For concentration, we assumed a log-normal prior centered on the mass-dependent value of c200c obtained from Diemer & Joyce (2019), which we denote as 
. The width of the prior, equal to 0.16, is also based on the analysis of Diemer & Joyce (2019).
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