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Table 1:

Model parameters for $\zeta $ Tau.
Parameter Value Type Ref.a
Stellar parameters
Spectral Type B1IVe shell fixed 2, 3
$R_{\rm p}$ $5.9~R_{\hbox{$\odot$ }}$ fixed 2, 4
$R_{\rm e}$ $7.7~R_{\hbox{$\odot$ }}$ fixedb 1
$T_{\rm p}$ $25~000~\rm K$ fixed 2
$T_{\rm e}$ $17~950~\rm K$ fixedc 1
$V/V_{\rm crit}$ 0.8 fixed 5
$V_{\rm crit}$ $530~\rm km~s^{-1}$ free 1
M $11.3~M_{\hbox{$\odot$ }}$ fixedd 1
L $7400~L_{\hbox{$\odot$ }}$ fixed 1
$T_{\rm eff}$ $19~370~\rm K$ fixede 1
Disk parameters
$\Sigma_0$ $2.1~\rm g~cm^{-2}$ free 1
$\rho_0$ $5.9 \times 10^{-11}~\rm g~cm^{-3}$ fixedg 1
$R_{\rm t}$ $130~R_{\hbox{$\odot$ }}$ fixed 1
H0 $0.208~R_{\hbox{$\odot$ }}$ fixedf 1
V/R parameters
P 1429 d Fixed 2
T0 50414 Fixed 2
k2 0.006 Free 1
Weak line force $5.74\times 10^{-2}(\varpi/R_{\rm e})^{0.1}$ Free 1
$\dot{M}$ $10^{-11}~M_{\hbox{$\odot$ }}~\rm yr^{-1}$ Free 1
$\alpha $ 0.4 Free 1
$\delta$ 0.95 Free 1
Geometrical parameters
i $95\hbox{$^\circ$ }$ free 1
$\gamma $ $32\hbox{$^\circ$ }$ free 1
$\phi_0$ $280\hbox{$^\circ$ }$ free 1
distance 126 pc fixedh 6
Binary parameters
$P_{\rm orb}$ 132.97 d fixed 7
e 0 fixed 7
a $257~R_{\hbox{$\odot$ }}$ fixed 7
q 0.121 fixed 7
a References: 1) this work; 2) Paper I; 3) Yang et al. (1990); 4) Harmanec (1988); 5) Cranmer (2005); 6) Perryman et al. (1997); 7) Harmanec (1984); b $R_{\rm e}$ was calculated from $R_{\rm p}$ and $V/V_{\rm crit}$ for a rigidly rotating star in the Roche approximation; c the equatorial temperature, $T_{\rm e}$, was calculated from $V/V_{\rm crit}$ and $T_{\rm p}$ for a rigidly rotating star in the Roche approximation; d M was calculated from $V_{\rm crit}$; e  $T_{\rm eff}$ corresponds to the average effective temperature of a rotationally deformed, gravity darkened star; f H0 was calculated from Eq. (8), assuming a mean molecular weight of 0.6 and an electron temperature of $18~000~\rm K$ after Carciofi & Bjorkman (2006); g $\rho_0$ is given by $\Sigma_0(2\pi)^{-1/2}H_0^{-1}$ (Eq. (10)); h d was considered a free parameter within the 113-148 pc range, corresponding to the accuracy in the distance determination the Hipparcos satellite.

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