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Table 5.

Best-fit photometric parameters for SAT uvby bands.

Parameter u v b y
k Fixed Fixed Fixed 0.999 ± 0.020
rA + rB 0.180 ± 0.032 (b) 0.182 ± 0.032 (b) 0.181 ± 0.022 (b) 0.180 ± 0.013 (b)
i (° ) 85.6 ± 1.3 (b) 85.5 ± 1.3 (b) 85.58 ± 0.89 (b) 85.61 ± 0.53 (b)
JB/JA 1.003 ± 0.043 (b) 1.006 ± 0.041 (b) 1.009 ± 0.034 (b) 1.004 ± 0.014 (b)
quad uA = uB(c) 0.9 ± 1.8 (b) 0.7 ± 1.7 (b) 0.6 ± 1.2 (b) 0.62 ± 0.64 (b)
quad νA = νB(c) −0.1 ± 2.4 (b) 0.26 ± 2.2 (b) 0.3 ± 1.7 (b) −0.01 ± 0.94 (b)

rA 0.090 ± 0.016 (b) 0.091 ± 0.016 (b) 0.090 ± 0.011 (b) 0.0898 ± 0.0067 (b)
rB 0.090 ± 0.016 (b) 0.091 ± 0.016 (b) 0.090 ± 0.011 (b) 0.0898 ± 0.0065 (b)
lB/lA 1.001 ± 0.061 (b) 1.004 ± 0.059 (b) 1.007 ± 0.054 (b) 1.002 ± 0.042 (a)
RMS (mmag) 17.0 15.0 13.0 11.0

Notes. The ratio of fractional radii k for y data was constrained with an empirical spectroscopic light ratio (lB/lA = 1.004 ± 0.042). Consistency checks: Differences in photometric and spectroscopic light ratios: u(n/a), v(0.20σ), b(0.0σ), and y(0.03σ). We also note the decrease in RMS scatter consistent with nightly RMS scatter for SAT observations, which further justifies the use of y band data to constrain k. The two limb-darkening coefficients were freely varying for all four bands and associated uncertainties were found to be large producing unphysical results. The best-fit JB/JA values are all larger than unity for all four bands, and contradict the results using TESS data. A potential path of reconciliation is found by realising the existence of a strong parameter correlation between the limb-darkening and surface brightness ratio possibly throwing off the solutions. Considering y data we therefore carried out tests by investigating fixed and varying combinations of the limb-darkening parameters and found no differences.

(a)

From MC.

(b)

From RP-PB.

(c)

Not to be trusted. For some runs the total limb-darkening was found to be unphysical.

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