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Table 2.
Virial coefficients for select profiles and radii.
| ktot(R) | k3D(R) | ||||
|---|---|---|---|---|---|
| Sérsic index | Axis ratio | R = Re | 1.3 Re(a) | R = Re | 1.3 Re(a) |
| n = 1 | q0 = 0.4 | 2.128 | 1.512 | 0.977 | 0.929 (b) |
| q0 = 1 | 2.933 | 2.026 | 1 | 1 | |
| q0= 1.5 | 3.613 | 2.459 | 0.975 | 0.995 | |
| n = 4 | q0 = 0.4 | 1.993 | 1.707 | 0.945 | 0.941 (b) |
| q0 = 1 | 2.408 | 2.033 | 1 | 1 | |
| q0= 1.5 | 2.731 | 2.286 | 1.020 | 1.023 | |
Notes.
(b)
We find k3D(1.3Re) = 0.746 and 0.840 for n = 1, 4 when using the mass enclosed within an ellipsoid instead of a sphere, similar to the values ξ for q0 = 0.4 and n = 1, 4 presented by Miller et al. (2011) in Sect. 5.1 if their Eq. (6) instead read M(r)≈ξ vcirc(r)2r/G.
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