Table 2: Orbital parameters for $\beta$ Cen obtained from KOREL disentangling and by the application of iteration processes to the observed SiIII $\lambda$ 4552.6 Å line profiles listed in Paper I. The errors are 1 $\sigma$ estimates resulting from FOTEL assuming the KOREL disentangled profiles to be error-free.
Parameter KOREL Scheme I Scheme II

$P_{\rm orb}$ (days) 356.94 356.86 $\pm$ 0.03 356.92 $\pm$ 0.03

$v_\gamma$ (km s^-1) - 9.1 $\pm$ 0.3 9.3 $\pm$ 0.3

K₁ (km s^-1) 57.4 63.3 $\pm$ 0.6 63.2 $\pm$ 0.6

K₂ (km s^-1) 72.3 72.7 $\pm$ 0.7 72.1 $\pm$ 0.6

e 0.825 0.824 $\pm$ 0.002 0.825 $\pm$ 0.002

E₀ (HJD) 2 451 600.08 2 451 599.77 $\pm$ 0.08 2 451 600.03 $\pm$ 0.08

$\omega$ ( $^{\rm o}$ ) 62.2 59.0 $\pm$ 0.6 60.8 $\pm$ 0.6

**Table 2:** Orbital parameters for $\beta$ Cen obtained from KOREL disentangling and by the application of iteration processes to the observed SiIII $\lambda$ 4552.6 Å line profiles listed in Paper I. The errors are 1 $\sigma$ estimates resulting from FOTEL assuming the KOREL disentangled profiles to be error-free.
Parameter	KOREL	Scheme I	Scheme II
$P_{\rm orb}$ (days)	356.94	356.86 $\pm$ 0.03	356.92 $\pm$ 0.03
$v_\gamma$ (km s^-1)	-	9.1 $\pm$ 0.3	9.3 $\pm$ 0.3
K₁ (km s^-1)	57.4	63.3 $\pm$ 0.6	63.2 $\pm$ 0.6
K₂ (km s^-1)	72.3	72.7 $\pm$ 0.7	72.1 $\pm$ 0.6
e	0.825	0.824 $\pm$ 0.002	0.825 $\pm$ 0.002
E₀ (HJD)	2 451 600.08	2 451 599.77 $\pm$ 0.08	2 451 600.03 $\pm$ 0.08
$\omega$ ( $^{\rm o}$ )	62.2	59.0 $\pm$ 0.6	60.8 $\pm$ 0.6

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