Table 3
Model parameters with uncertainties for fits for each of the six stars and five surface corrections.
Name | Corr. | t/Gyr | M/M⊙ | Y0 | [Fe/H] 0 | α | Surface correction parameters | |
|
||||||||
c | 5.15 ± 0.13 | 1.290 ± 0.012 | 0.256 ± 0.007 | 0.093 ± 0.033 | 2.07 ± 0.05 | −4.70 ± 0.13 | ||
b | 5.07 ± 0.13 | 1.293 ± 0.010 | 0.255 ± 0.005 | 0.081 ± 0.029 | 2.09 ± 0.05 | 2.00 ± 0.61 | −4.75 ± 0.07 | |
A | s | 5.59 ± 0.14 | 1.262 ± 0.009 | 0.271 ± 0.005 | 0.191 ± 0.027 | 1.92 ± 0.04 | −4.18 ± 0.18 | 10.70 ± 0.68 |
p | 4.82 ± 0.09 | 1.310 ± 0.006 | 0.244 ± 0.003 | 0.015 ± 0.021 | 2.20 ± 0.04 | −2.08 ± 0.15 | 3.96 ± 0.22 | |
k | 4.98 ± 0.03 | 1.438 ± 0.005 | 0.178 ± 0.003 | −0.067 ± 0.007 | 2.22 ± 0.01 | −0.00 ± 0.02 | ||
c | 3.86 ± 0.02 | 1.260 ± 0.010 | 0.266 ± 0.006 | −0.184 ± 0.016 | 2.06 ± 0.03 | −6.98 ± 0.21 | ||
b | 3.84 ± 0.03 | 1.248 ± 0.009 | 0.270 ± 0.004 | −0.199 ± 0.017 | 2.10 ± 0.03 | −3.95 ± 0.73 | −7.14 ± 0.21 | |
B | s | 3.89 ± 0.03 | 1.266 ± 0.015 | 0.263 ± 0.008 | −0.179 ± 0.020 | 2.04 ± 0.03 | −6.49 ± 0.53 | 9.58 ± 0.82 |
p | 3.74 ± 0.02 | 1.240 ± 0.006 | 0.270 ± 0.003 | −0.248 ± 0.015 | 2.23 ± 0.03 | −3.47 ± 0.61 | 2.64 ± 0.50 | |
k | 3.61 ± 0.02 | 1.389 ± 0.006 | 0.216 ± 0.003 | −0.246 ± 0.006 | 2.22 ± 0.01 | −0.41 ± 0.04 | ||
c | 7.36 ± 0.07 | 1.152 ± 0.007 | 0.268 ± 0.003 | 0.104 ± 0.008 | 1.99 ± 0.01 | −6.84 ± 0.12 | ||
b | 7.35 ± 0.10 | 1.152 ± 0.008 | 0.268 ± 0.004 | 0.103 ± 0.009 | 1.99 ± 0.01 | −0.27 ± 0.62 | −6.80 ± 0.11 | |
C | s | 7.40 ± 0.07 | 1.178 ± 0.007 | 0.255 ± 0.003 | 0.098 ± 0.009 | 1.97 ± 0.01 | −5.91 ± 0.32 | 9.05 ± 0.41 |
p | 6.79 ± 0.10 | 1.116 ± 0.010 | 0.285 ± 0.004 | 0.046 ± 0.014 | 2.12 ± 0.02 | −4.43 ± 0.36 | 2.47 ± 0.16 | |
k | 7.39 ± 0.05 | 1.101 ± 0.005 | 0.295 ± 0.003 | 0.145 ± 0.006 | 1.99 ± 0.01 | −1.71 ± 0.02 | ||
c | 4.25 ± 0.05 | 1.286 ± 0.010 | 0.226 ± 0.006 | −0.319 ± 0.019 | 2.07 ± 0.02 | −8.62 ± 0.18 | ||
b | 4.28 ± 0.05 | 1.292 ± 0.010 | 0.223 ± 0.006 | −0.310 ± 0.017 | 2.04 ± 0.02 | 3.22 ± 0.93 | −8.47 ± 0.20 | |
D | s | 4.20 ± 0.07 | 1.315 ± 0.008 | 0.211 ± 0.005 | −0.357 ± 0.014 | 2.10 ± 0.02 | −5.68 ± 0.44 | 8.62 ± 0.65 |
p | 4.39 ± 0.07 | 1.286 ± 0.009 | 0.217 ± 0.005 | −0.352 ± 0.012 | 2.09 ± 0.02 | −2.35 ± 0.18 | 3.26 ± 0.16 | |
k | 4.03 ± 0.05 | 1.365 ± 0.004 | 0.195 ± 0.002 | −0.371 ± 0.007 | 2.11 ± 0.01 | −0.76 ± 0.01 | ||
c | 3.75 ± 0.17 | 1.495 ± 0.010 | 0.233 ± 0.005 | 0.132 ± 0.014 | 1.94 ± 0.04 | −7.08 ± 0.20 | ||
b | 4.09 ± 0.26 | 1.463 ± 0.008 | 0.239 ± 0.008 | 0.176 ± 0.014 | 1.89 ± 0.06 | −2.92 ± 0.92 | −7.26 ± 0.31 | |
E | s | 4.05 ± 0.13 | 1.463 ± 0.009 | 0.240 ± 0.004 | 0.177 ± 0.011 | 1.89 ± 0.03 | −7.31 ± 0.28 | 7.28 ± 0.39 |
p | 4.12 ± 0.18 | 1.425 ± 0.014 | 0.248 ± 0.009 | 0.158 ± 0.008 | 1.94 ± 0.04 | −2.79 ± 0.73 | 2.77 ± 0.66 | |
k | 3.99 ± 0.04 | 1.639 ± 0.004 | 0.183 ± 0.001 | 0.182 ± 0.005 | 1.73 ± 0.01 | 0.03 ± 0.06 | ||
c | 7.63 ± 0.20 | 1.040 ± 0.012 | 0.245 ± 0.009 | −0.408 ± 0.021 | 1.88 ± 0.02 | −13.44 ± 0.73 | ||
b | 7.65 ± 0.20 | 1.033 ± 0.012 | 0.249 ± 0.007 | −0.397 ± 0.018 | 1.88 ± 0.02 | 1.90 ± 1.16 | −13.47 ± 0.41 | |
F | s | 7.55 ± 0.27 | 1.063 ± 0.015 | 0.233 ± 0.005 | −0.423 ± 0.015 | 1.87 ± 0.02 | −6.69 ± 0.48 | 9.41 ± 0.56 |
p | 7.07 ± 0.16 | 1.057 ± 0.013 | 0.240 ± 0.006 | −0.472 ± 0.012 | 1.96 ± 0.02 | −2.08 ± 0.16 | 3.43 ± 0.21 | |
k | 3.93 ± 0.07 | 1.261 ± 0.003 | 0.231 ± 0.002 | −0.478 ± 0.005 | 2.35 ± 0.01 | 0.02 ± 0.01 |
Notes. The surface corrections “c”, “b”, “s”, “p” and “k” refer to the cubic and combined terms of Ball & Gizon (2014), the modified Lorentzian of Sonoi et al. (2015), a free power law and the solar-calibrated power law by Kjeldsen et al. (2008). The surface correction parameters in each of the five cases are a3/10-7μHz (Eq. (3)), a-1/10-8μHz and a3/10-7μHz (Eq. (4)), s0/10-3μHz and s1 (Eq. (5)), p0/μHz and p1 (Eq. (1), r ≡ 1), and finally p0/r/μHz (Eq. (1). The model parameters are the age t, mass M, initial helium abundance Y0, initial metallicity [Fe/H] 0 and mixing-length parameter α.
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