Table 1
Properties of the Gaussian and power-law models ℳ (Fig. 1) in spherical and cylindrical geometries.
| ℳ | αℳ | βℳ | Hℳ (″) | Mℳ (″) |  |
 |
Mℳ* (″) |  |
|---|---|---|---|---|---|---|---|---|
| 𝒢 | 10.0 | 10.0 | 0.50 | 0.49 | 10.0 | 0.49 | ||
| Ƥa | 2 | 1 | 10.0 | 51.7 | 0.50 | 0.073 | 1578 | 2.9E–3 |
| Ƥb | 2 | 1 | 10.0 | 45.7 | 0.50 | 0.029 | 1572 | 9.6E–4 |
| ƤC | 3 | 2 | 10.0 | 36.5 | 0.50 | 0.039 | 749 | 9.1E–5 |
| Ƥd | 3 | 2 | 10.0 | 27.7 | 0.50 | 0.023 | 637 | 4.2E–5 |
Notes. The columns list the model, exponent αℳ of the radial volume density profile, exponent βℳ of the projected intensity or surface density, true half maximum size Hℳ and moment size Mℳ (for spherical models only), and their corresponding intensity levels 
and 
. The columns Mℳ* and 
give the moment sizes and levels for the infinite models. Outer boundaries of the finite models are at Θ = 64″ from the model peak or crest.
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