Table 2
Values of the parameters ⟨ Ω ⟩ c, ⟨ Ω ⟩ e, Δt, ζ0,a, and ζ0,b obtained when fitting Eq. (24) to the mode frequencies of acor for models A, C, D, and E, assuming a rotation profile following Eq. (15) with a core rotation ⟨ Ω ⟩ c/ 2π = 710 nHz and core-envelope contrasts of 100, 20, 10, 5, and 2.
| Model id. | Rotation | Fit | Model | |||||||
| profile | ⟨ Ω ⟩ c/ 2π | ⟨ Ω ⟩ e/ 2π | Δt | ζ 0,a | ζ 0,b | ⟨ Ω ⟩ c/ 2π | ⟨ Ω ⟩ e/ 2π | ζ 0,a | ζ 0,b | |
| (nHz) | (nHz) | (nHz) | (nHz) | |||||||
|
|
||||||||||
| Model A | 100 | 714.7 | 21.5 | 4.201 | 0.287 | 0.738 | 709.6 | 22.7 | 0.286 | 0.737 |
| 20 | 714.6 | 49.5 | 4.202 | 0.287 | 0.738 | 709.6 | 50.5 | 0.286 | 0.737 | |
| 10 | 714.4 | 84.5 | 4.202 | 0.287 | 0.738 | 709.6 | 85.2 | 0.286 | 0.737 | |
| 5 | 714.1 | 154.5 | 4.204 | 0.287 | 0.738 | 709.7 | 154.6 | 0.286 | 0.737 | |
| 2 | 713.2 | 364.4 | 4.214 | 0.283 | 0.743 | 709.8 | 362.9 | 0.286 | 0.737 | |
| Model C | 100 | 720.8 | 18.1 | 3.824 | 0.407 | 0.619 | 709.6 | 23.6 | 0.406 | 0.621 |
| 20 | 720.3 | 46.3 | 3.824 | 0.407 | 0.619 | 709.6 | 51.4 | 0.406 | 0.621 | |
| 10 | 719.8 | 81.5 | 3.824 | 0.407 | 0.619 | 709.6 | 86.0 | 0.406 | 0.621 | |
| 5 | 718.6 | 151.8 | 3.825 | 0.407 | 0.619 | 709.7 | 155.4 | 0.406 | 0.621 | |
| 2 | 715.2 | 363.0 | 3.830 | 0.404 | 0.622 | 709.8 | 363.4 | 0.406 | 0.621 | |
| Model D | 100 | 724.1 | 15.8 | 3.630 | 0.480 | 0.546 | 709.6 | 24.8 | 0.481 | 0.548 |
| 20 | 723.5 | 44.1 | 3.630 | 0.480 | 0.546 | 709.6 | 52.5 | 0.481 | 0.548 | |
| 10 | 722.7 | 79.4 | 3.630 | 0.480 | 0.546 | 709.6 | 87.1 | 0.481 | 0.548 | |
| 5 | 721.1 | 150.0 | 3.631 | 0.480 | 0.546 | 709.7 | 156.3 | 0.481 | 0.548 | |
| 2 | 716.3 | 362.0 | 3.633 | 0.480 | 0.546 | 709.8 | 363.9 | 0.481 | 0.548 | |
| Model E | 100 | 723.2 | 17.2 | 3.685 | 0.458 | 0.568 | 709.6 | 24.1 | 0.460 | 0.570 |
| 20 | 722.6 | 45.4 | 3.685 | 0.458 | 0.568 | 709.6 | 51.8 | 0.460 | 0.570 | |
| 10 | 721.9 | 80.6 | 3.685 | 0.458 | 0.568 | 709.6 | 86.4 | 0.460 | 0.570 | |
| 5 | 720.4 | 151.0 | 3.686 | 0.458 | 0.568 | 709.7 | 155.7 | 0.460 | 0.570 | |
| 2 | 715.9 | 362.3 | 3.689 | 0.458 | 0.568 | 709.8 | 363.6 | 0.460 | 0.570 | |
Notes. For comparison, the right columns give the actual values of ⟨ Ω ⟩ c, ⟨ Ω ⟩ e, ζ0,a, and ζ0,b computed with the input rotation profile and the eigenfunctions of the chosen model.
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