Table 4.
Precision of the stellar parameters obtained by fitting the frequency separation ratios for the models of Sonoi et al. (2015).
| List of | Stellar mass |
Stellar radius |
Stellar age |
||||||
|---|---|---|---|---|---|---|---|---|---|
| Constraints | no  |
no corr. | incl. corr. | no  |
no corr. | incl. corr. | no  |
no corr. | incl. corr. |
| Model A | |||||||||
| [Fe/H],Teff, L, r01, r02, νnmin, l = 0 | 0.8% | 0.8% | 0.7% | 0.3% | 0.3% | 0.3% | 1.9% | 1.9% | 1.8% |
| [Fe/H],Teff, L, r01, r02 | 3.7% | 0.9% | 0.8% | 2.6% | 0.4% | 0.3% | 2.4% | 2.0% | 1.9% |
| [Fe/H],Teff, r01, r02 | 3.7% | 0.9% | 0.8% | 2.7% | 0.4% | 0.3% | 2.5% | 2.0% | 1.9% |
| [Fe/H],L, r01, r02 | 4.1% | 0.9% | 0.8% | 2.9% | 0.4% | 0.3% | 2.5% | 2.0% | 2.0% |
| Teff, L, r01, r02 | 3.6% | 0.9% | 0.8% | 2.6% | 0.4% | 0.3% | 2.5% | 1.9% | 1.8% |
| [Fe/H],Teff, L, R01, R02 | 4.2% | 1.4% | 1.4% | 3.2% | 0.6% | 0.5% | 4.2% | 3.3% | 3.3% |
| [Fe/H],Teff, L, r02 | 3.9% | 2.0% | 2.2% | 2.8% | 0.7% | 0.8% | 3.7% | 2.7% | 2.2% |
| [Fe/H],Teff, L, r01 | 4.7% | 1.7% | 1.7% | 4.1% | 0.6% | 0.6% | 4.0% | 4.1% | 4.0% |
| Model B | |||||||||
| [Fe/H],Teff, L, r01, r02, νnmin, l = 0 | 3.6% | 3.8% | 3.6% | 1.3% | 1.2% | 1.3% | 21.4% | 18.0% | 18.8% |
| Model C | |||||||||
| [Fe/H],Teff, L, r01, r02 | 4.3% | 3.1% | 2.8% | 4.3% | 1.1% | 1.1% | 10.5% | 5.3% | 4.9% |
| Model D | |||||||||
| [Fe/H],Teff, L, r01, r02 | 6.7% | 4.1% | 4.0% | 6.5% | 1.4% | 1.4% | 17.4% | 16.8% | 16.3% |
| Model E | |||||||||
| [Fe/H],Teff, L, r01, r02, νnmin, l = 0 | 2.1% | 2.1% | 2.2% | 0.9% | 0.8% | 0.8% | 4.8% | 5.0% | 4.0% |
| Model F | |||||||||
| [Fe/H],Teff, L, r01, r02 | 6.5% | 3.1% | 3.2% | 5.1% | 1.1% | 1.1% | 14.8% | 12.2% | 11.9% |
Notes. We considered three prescriptions to include the inverted mean density in the constraints: not including it (no 
), including it as a classical constraint (no corr.), or including it as a seismic constraint to account for the correlations with the ratios (incl. corr.). The lowest-order radial frequency is denoted by νnmin, l = 0, and R01 and R02 are the frequency separation ratios derived by assuming observational uncertainties twice as large on the individual frequencies.
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