Table 3
Comparison of 4th order limb darkening coefficients, goodness of fit, radiative fluxes from the nonlinear law and numerical quadrature, and their relative deviation for various choices of Nμ.
| N μ | c 1 | c 2 | c 3 | c 4 |
|
Fnl/πI(1) | Fnum/πI(1) | |ΔFrel| |
|
|
||||||||
| 17 | 0.5999 | −1.0136 | 1.7021 | −0.3179 | 1.95 × 10-7 | 0.64738 | 0.65040 | 4.64 × 10-3 |
| 51 | 0.6479 | −1.1686 | 1.8951 | −0.3994 | 3.51 × 10-7 | 0.64747 | 0.64751 | 5.97 × 10-5 |
| 101 | 0.6548 | −1.1911 | 1.9230 | −0.4111 | 4.34 × 10-7 | 0.64748 | 0.64751 | 4.54 × 10-5 |
Notes. All calculations are based on the 3D model of HD 189733 and integrated over the wavelength band between 3400 Å and 3500 Å. Radiative fluxes are divided by πI(1) to obtain the same normalization as the limb darkening laws.
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