Table 1.
Estimates of νrot and P0 for the three theoretical models from the synthetic eigenfrequencies of the prograde sectoral g modes with the azimuthal order of m = 1.
| (1) Model A |
(2) Model B |
(3) Model A with DR |
||||
|---|---|---|---|---|---|---|
| νrot | P0 [103 s] | νrot | P0 [103 s] | νrot | P0 [103 s] | |
| Iteration 1 | 6.64 μHz | 4.03 | 6.4 μHz | 3.8 | 11.76 μHz | 5.60 |
| (0.574 d−1) | (0.55 d−1) | (1.016 d−1) | ||||
| Converged value | 6.944 ± 0.008 μHz | 4.49 ± 0.01 | 6.7 ± 0.1 μHz | 4.3 ± 0.1 | 11.80 ± 0.04 μHz | 5.70 ± 0.06 |
| (0.6000 ± 0.0007 d−1) | (0.58 ± 0.01 d−1) | (1.020 ± 0.004 d−1) | ||||
| C18 | 6.95 μHz | 4.495 | 6.67 μHz | 4.233 | 11.74 μHz | 5.592 |
| (0.600 d−1) | (0.576 d−1) | (1.014 d−1) | ||||
| True value | 7 μHz | 4.579 | 7 μHz | 4.453 | 7–15 μHz | 4.579 |
| (0.605 d−1) | (0.605 d−1) | (0.605–1.296 d−1) | ||||
Notes. The process to estimate νrot and P0 converges after 5, 5, and 4 iterations for models (1), (2), and (3), respectively, with the requirement that the relative differences in νrot and P0 are both less than 10−4 between two successive iterations. The errors that are given for the converged values correspond to the 99% confidence intervals. The results of Christophe et al. (2018) based on the discrete Fourier transform are also given and described in the table as C18. The true value of νrot for Model A with differential rotation (DR) indicates the range of the rotation rate in the model.
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