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Table 3

Uniform and limb darkened disk model parameters for α Cen A, α Cen B and the Sun.

α Cen A (G2V) α Cen B (K1V) Sun (G2V)

LD model LD parameters θLD(A) [mas]a LD parameters θLD(B) [mas]a Observed LD

Uniform 8.347 ± 0.004 ± 0.035 15.23 5.883 ± 0.003 ± 0.025 14.26

Linear (fixed)b u = 0.2392 (fixed) 8.505 ± 0.003 ± 0.036 5.50 u = 0.2698 (fixed) 6.003 ± 0.002 ± 0.025 4.69 u = 0.2227 ± 0.0005

Linear (fit) u = 0.1761 ± 0.0062 8.458 ± 0.005 ± 0.035 4.24 u = 0.1907 ± 0.0048 5.962 ± 0.003 ± 0.025 2.89 u = 0.2227 ± 0.0005

Quadratic a = + 0.191 ± 0.026 8.451 ± 0.013 ± 0.035 4.25 a = + 0.0908 ± 0.0004
b = −0.031 ± 0.054 b = + 0.2309 ± 0.0007

Square root c = + 0.29 ± 0.15 8.446 ± 0.017 ± 0.035 4.24 c = −0.2257 ± 0.0004
d = −0.19 ± 0.25 d = + 0.7230 ± 0.0006

4 param. (fixed)c a1 = + 0.7127 8.540 ± 0.003 ± 0.036 4.98 a1 = + 0.7353 6.030 ± 0.002 ± 0.025 3.93 a1 ⊙ = + 0.9789 ± 0.0069
a2 = −0.0452 a2 = −0.0144 a2 ⊙ = −0.9644 ± 0.0169
a3 = −0.2643 a3 = −0.2485 a3 ⊙ = + 0.8481 ± 0.0174
a4 = + 0.1311 a4 = + 0.1083 a4 ⊙ = −0.3371 ± 0.0065

3D 8.534 ± 0.003 ± 0.036 4.85 6.037 ± 0.002 ± 0.025 4.40

Power α = 0.1404 ± 0.0050 8.502 ± 0.006 ± 0.036 3.90 α = 0.1545 ± 0.0044 5.999 ± 0.004 ± 0.025 3.33 α = 0.15027 ± 0.00006

Scaled solar s0 = 0.716 ± 0.042 8.498 ± 0.007 ± 0.036 4.38 s0 = 0.598 ± 0.027 5.996 ± 0.004 ± 0.025 3.13 s0 ⊙ = 0.59045 d

Notes.

(a)

The statistical and systematic uncertainties on the angular diameters are listed separately as ± σstat ± σsyst.

(b)

The linear limb darkening coefficients u are taken from Claret & Bloemen (2011).

(c)

The four-parameter non linear limb darkening coefficients a1...a4 are taken from Claret & Bloemen (2011).

(d)

The value of s0 for the Sun is the average over the H band from the observed profile by Pierce et al. (1977).

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