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) | |||||
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LD model | LD parameters | θLD(A) [mas]a |
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LD parameters | θLD(B) [mas]a |
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Observed LD |
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Uniform | − | 8.347 ± 0.004 ± 0.035 | 15.23 | − | 5.883 ± 0.003 ± 0.025 | 14.26 | − |
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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 |
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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 |
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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 | ||||||
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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 | ||||||
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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 | |||||
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3D | − | 8.534 ± 0.003 ± 0.036 | 4.85 | − | 6.037 ± 0.002 ± 0.025 | 4.40 | − |
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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 |
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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.
The statistical and systematic uncertainties on the angular diameters are listed separately as ± σstat ± σsyst.
The linear limb darkening coefficients u are taken from Claret & Bloemen (2011).
The four-parameter non linear limb darkening coefficients a1...a4 are taken from Claret & Bloemen (2011).
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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