Table 3.
Grid of almost spherical models for ε Ori assuming a fixed value of v sin i = 70 km s−1.
| i [deg] | m [M⊙] | Ω [deg] | Requiv [R⊙] | θequiv [mas] | Prot [d] | v [km s−1] | v sin i [km s−1] | χVIS2 [1] | T [K] | χSPE2 [103] |
|---|---|---|---|---|---|---|---|---|---|---|
| 14 | 22.90 | 289.7 | 24.68 | 0.598 | 4.31 | 289 | 70 | 11.451 | 25384 | 13.4 |
| 15 | 23.99 | 289.9 | 25.26 | 0.612 | 4.72 | 270 | 70 | 11.532 | 25363 | 14.7 |
| 20 | 26.06 | 289.9 | 26.32 | 0.638 | 6.51 | 205 | 70 | 11.658 | 26366 | 17.0 |
| 30 | 27.12 | 290.5 | 26.85 | 0.650 | 9.70 | 140 | 70 | 11.715 | 26718 | 18.5 |
| 40 | 27.43 | 299.4 | 27.00 | 0.654 | 12.55 | 109 | 70 | 11.732 | 26929 | 18.9 |
| 50 | 27.58 | 290.2 | 27.08 | 0.656 | 14.99 | 91 | 70 | 11.740 | 27962 | 20.1 |
| 60 | 27.66 | 299.1 | 27.12 | 0.657 | 16.97 | 81 | 70 | 11.743 | 27956 | 20.3 |
| 70 | 27.68 | 290.5 | 27.13 | 0.657 | 18.43 | 74 | 70 | 11.745 | 27198 | 19.3 |
| 80 | 27.68 | 290.1 | 27.13 | 0.657 | 19.31 | 71 | 70 | 11.747 | 28041 | 20.4 |
| 90 | 27.71 | 290.0 | 27.14 | 0.657 | 19.62 | 70 | 70 | 11.746 | 28050 | 20.4 |
Notes. i denotes the inclination of the spin axis with respect to the sky plane; m, mass; Ω, the orientation of star’s equator, as seen by the observer; Requiv, equivalent radius; θequiv, angular diameter; Prot, rotational period; v, circumference velocity. Except for the temperature T, all the parameters were determined from interferometry. The values of χVIS2 do not exhibit a significant minimum, because the model is too constrained by v sin i. Then, we kept the determined parameters fixed and fitted the temperature according to the spectroscopic data to find χSPE2. However, synthetic line profiles were in all cases deeper than the observed ones. The model with the lowest χVIS2 and χSPE2 is for i = 14 deg. For models based on interferometry, the parameters i, log g = 3.0, v sin i = 70 km s−1, T = 25 000 K were fixed, while m, Ω were free.
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