Table 2
Multiple solutions for the TZ Fornacis binary system from the FRANEC grid of stellar models.
| F-I | F-II | F-I, II | F-III | |||||||||
| q16 | q50 | q84 | q16 | q50 | q84 | q16 | q50 | q84 | q16 | q50 | q84 | |
|
|
||||||||||||
| Y | 0.261 | 0.262 | 0.263 | 0.263 | 0.264 | 0.264 | 0.261 | 0.262 | 0.263 | 0.262 | 0.263 | 0.264 |
| Z | 0.012 | 0.013 | 0.014 | 0.015 | 0.015 | 0.016 | 0.013 | 0.013 | 0.015 | 0.014 | 0.015 | 0.016 |
| β | 0.140 | 0.151 | 0.160 | 0.160 | 0.170 | 0.170 | 0.141 | 0.155 | 0.163 | 0.240 | 0.250 | 0.255 |
| age (Gyr) | 1.07 | 1.10 | 1.13 | 1.16 | 1.16 | 1.17 | 1.08 | 1.11 | 1.16 | 1.14 | 1.16 | 1.19 |
| Mcc (M⊙) | – | – | – | – | – | – | – | – | – | 0.169 | 0.171 | 0.174 |
|
|
||||||||||||
| Fit parameters | ||||||||||||
|
|
||||||||||||
| Teff,1 (K) | 4952 | 4917 | 4947 | 4914 | ||||||||
| Teff,2 (K) | 6896∗ | 6788 | 6875∗ | 6701 | ||||||||
| R1 (R⊙) | 8.39 | 8.43 | 8.39 | 8.61∗ | ||||||||
| R2 (R⊙) | 4.03 | 4.04 | 4.03 | 3.71∗∗ | ||||||||
|
|
||||||||||||
| χ 2 | 2.93 | 3.65 | 2.54 | 14.38 | ||||||||
| p | 0.23 | 0.16 | 0.28 | 0.001 | ||||||||
Notes. F-I, F-II, F-I, II and F-III identify the different islands of solutions (see text). q50 represents the median of the considered stellar quantities in the different solution islands, while q16 and q84 corresponds to the 16th and 84th quantiles. For some solutions, the distributions are skewed and q16 or q84 coincide with the median q50. One asterisk marks the quantities, which differ by more than 1σ from the corresponding observational constraints; two asterisks indicate a difference larger than 2σ. For each solution, the goodness-of-fit χ2 and the test p value are reported.
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