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Table 12

Summary of parameters derived from the spectroscopic, photometric, and spectro-interferometric analyses.

Parameter Unit Source Value

Orbital properties
Orbit 2 1

P AN (d) RV/ LC 145.579 ± 0.048 7.14664 ± 0.00002
P S (d) RV/ LC 145.113 ± 0.071 7.14664 ± 0.00002
T p (RJD) RV/ – 55 609.46 ± 0.52
T min (RJD) –/ LC 56 224.72482 ± 0.00022
a (R) IF+HP/ IF+HP 219 ± 15 26.1 ± 2.3
(R) IF+RV/ IF+RV *229.0 ± 7.7
(R) –/ RV+LC *25.550 ± 0.090
a angular (mas) IF/ IF 15.93 ± 0.10 1.89 ± 0.11
e RV/ – *0.2101 ± 0.0053 0.01
IF/ – 0.2120 ± 0.0040 0.01
q RV/ RV 0.889 ± 0.056 0.9438 ± 0.0036
i (deg) IF/ IF 86.67 ± 0.12 86.851
(deg) –/ LC *86.85 ± 0.22
ω (deg) RV/ – *9.25 ± 1.42 90.01
(deg) IF/ – 8.4 ± 1.6 90.01
(deg yr-1) RV/ – 2.90 ± 0.33 0.01
(deg yr-1) IF/ – 2.02 ± 0.31 0.01
Ω (deg) IF/ IF 148.453 ± 0.066 148.42 ± 1.9

Component properties
Component B Aa Ab

T eff (K) SP 14 190 ± 150 10 700 ± 160 *10 480 ± 130
(K) LC 107001 10450 ±  150
log g [cgs] SP 4.527 ± 0.041 4.08 ± 0.12 4.01 ± 0.10
RV+LC 4.09 ± 0.11 4.330 ± 0.019 4.348 ± 0.022
vsini (km s-1) SP 229.2 ± 1.7 12.6 ± 2.6 14.3 ± 3.1
m (M) RV+LC *3.89 ± 0.25 *2.252 ± 0.027 *2.125 ± 0.027
(M) RV+IF 3.60 ± 0.52 2.08 ± 0.48 1.96 ± 0.45
R (R) RV+LC 1.700 ±  0.035 1.618 ±  0.039
(R) IF+HP 2.81 ± 0.28
θ (mas) IF 0.407 ± 0.031
(mas) LC+HP 0.247 ±  0.017 0.235 ±  0.017
M BOL (mag) LC+RV+IF –1.14 ± 0.22 0.923 ± 0.079 1.120 ± 0.075
V (mag) LC 4.250 ± 0.10 5.46 ± 0.11 5.63 ± 0.11
BV (mag) LC –0.12 ± 0.16 –0.05 ± 0.16 –0.03 ± 0.14
UB (mag) LC –0.446 ± 0.16 –0.09 ± 0.14 –0.07 ± 0.14
V 0 (mag) LC 4.24 ± 0.65 5.54 ± 0.65 5.68 ± 0.65
B0V0 (mag) LC –0.120 ± 0.085 –0.018 ± 0.167 –0.015 ± 0.162

Parallax

π a1 (mas) 15.91 ± 0.93
π a2 (mas) 14.96 ± 0.51
π DM,Aa (mas) 14.3 ± 4.3
π DM,Ab (mas) 14.4 ± 4.4
π DM,B (mas) 13.3 ± 2.2

Notes. In some cases more values are listed for a parameter, to show that the methods do not contradict each other. Because they were safely resolved only with the astrometry, elements of orbit 3 are not listed here, but in Table 10 and the mass of component C is estimated and briefly discussed in Sect. 7. The listed parameters are the anomalistic period PAN, the sidereal period PS, the periastron epoch Tp, the epoch of the primary minimum Tmin, the semi-major axis a, the mass ratio q, the eccentricity e, the inclination i, the periastron argument ω, the position angle of the nodal line Ω, the effective temperature Teff, the surface gravitational acceleration log g, the projected rotational velocity vsini, the mass m, the radius R, the angular diameter θ, the bolometric magnitude MBOL, the Johnson V magnitude and colour indices V, BV, UB, the dereddened Johnson V magnitude and colour index V0, B0V0, and the parallax π. Sources: RV solution of the RV curve presented in Table 5, SP comparison of the observed and synthetic spectra presented in Table 7, LC solution of the light curve presented in Table 9, IF solution of the V2 and T3φ presented in Table 11, HP. the Hipparcos parallax π = 15.60 ± 1.04 mas. The parallaxes: πa1 estimated from the size of the semi-major axis of orbit 1 (physical and angular), πa2 estimated from the size of the semi-major axis of orbit 2 (physical and angular), πDM,Aa estimated from the distance modulus of component Aa, πDM,Ab estimated from the distance modulus of component Ab, πDM,Ab estimated from the distance modulus of component B.

(1)

Assumed.

(2)

A solution where Ω1 = 328.4 ± 1.9, is also plausible and has identical χ2.

(*)

Parameters that are likely the closest to the true nature of ξ Tau.

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