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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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