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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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