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Table A.1
Limb darkening coefficients derived from 3D RHD models in the Kepler filter for different stellar parameters (Cols. 1–3).
| T eff | log g | [Fe/H] | u | a | b | c | d | a 1 | a 2 | a 3 | a 4 | |
|
|
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| 4532 | 3.50 | +0.0 | 0.73505 | 0.58775 | 0.17369 | 0.47757 | 0.33638 | 0.77661 | –0.80075 | 1.38617 | –0.50608 | |
| 4997 | 3.50 | +0.0 | 0.69317 | 0.51184 | 0.21380 | 0.40246 | 0.37978 | 0.63495 | –0.46625 | 1.10377 | –0.46910 | |
| 5552 | 3.50 | +0.0 | 0.63205 | 0.37638 | 0.30146 | 0.23583 | 0.51764 | 0.52385 | 0.09984 | 0.29682 | –0.16943 | |
| 6025 | 3.50 | +0.0 | 0.57909 | 0.27389 | 0.35988 | 0.08275 | 0.64845 | 0.70830 | 0.00368 | –0.03424 | 0.06155 | |
| 4504 | 4.00 | +0.0 | 0.74641 | 0.58971 | 0.18481 | 0.47456 | 0.35520 | 0.76201 | –0.69272 | 1.24804 | –0.44840 | |
| 4974 | 4.00 | +0.0 | 0.69924 | 0.51916 | 0.21233 | 0.40603 | 0.38305 | 0.69226 | –0.60023 | 1.22834 | –0.50452 | |
| 5493 | 4.00 | +0.0 | 0.64892 | 0.42136 | 0.26832 | 0.29549 | 0.46173 | 0.54134 | –0.07649 | 0.58178 | –0.28535 | |
| 5999 | 4.00 | +0.0 | 0.61169 | 0.34095 | 0.31926 | 0.18721 | 0.55457 | 0.53991 | 0.17288 | 0.08752 | –0.06136 | |
| 6437 | 4.00 | +0.0 | 0.57175 | 0.26414 | 0.36271 | 0.07584 | 0.64788 | 0.80623 | –0.39503 | 0.52466 | –0.19731 | |
| 5767 | 4.44 | +0.0 | 0.63905 | 0.39256 | 0.29064 | 0.25352 | 0.50367 | 0.58503 | –0.10226 | 0.53712 | –0.25796 | |
| 4518 | 4.50 | +0.0 | 0.74748 | 0.58106 | 0.19623 | 0.46824 | 0.36481 | 0.59750 | –0.17959 | 0.66723 | –0.22919 | |
| 4955 | 4.50 | +0.0 | 0.70630 | 0.52186 | 0.21747 | 0.41223 | 0.38419 | 0.61695 | –0.39597 | 1.04387 | –0.44957 | |
| 5509 | 4.50 | +0.0 | 0.66324 | 0.43841 | 0.26511 | 0.31192 | 0.45897 | 0.54929 | –0.07493 | 0.57716 | –0.27516 | |
| 6002 | 4.50 | +0.0 | 0.62040 | 0.35566 | 0.31221 | 0.20713 | 0.53998 | 0.53192 | 0.15042 | 0.16292 | –0.10095 | |
| 6483 | 4.50 | +0.0 | 0.59534 | 0.28054 | 0.37119 | 0.09313 | 0.65611 | 0.73898 | –0.17219 | 0.31894 | –0.12921 | |
| 6915 | 4.50 | +0.0 | 0.56230 | 0.20662 | 0.41939 | –0.01686 | 0.75662 | 0.97382 | –0.62622 | 0.63240 | –0.21903 | |
| 4515 | 5.00 | +0.0 | 0.74272 | 0.52349 | 0.25852 | 0.38093 | 0.47270 | 0.66450 | –0.13643 | 0.51088 | –0.16603 | |
| 4965 | 5.00 | +0.0 | 0.72911 | 0.53095 | 0.23365 | 0.42084 | 0.40274 | 0.47629 | 0.08613 | 0.51634 | –0.25122 | |
| 5488 | 5.00 | +0.0 | 0.66477 | 0.43757 | 0.26789 | 0.31734 | 0.45389 | 0.47390 | 0.09151 | 0.45732 | –0.25382 | |
| 5996 | 3.50 | –2.0 | 0.59147 | 0.23859 | 0.41607 | –0.00987 | 0.78563 | 1.40907 | –1.73174 | 1.75496 | –0.59484 | |
| 5063 | 4.00 | –2.0 | 0.67569 | 0.30132 | 0.44143 | 0.09182 | 0.76280 | 0.53808 | 0.75966 | –0.74362 | 0.27944 | |
| 5481 | 4.00 | –2.0 | 0.63979 | 0.22783 | 0.48574 | –0.03935 | 0.88726 | 1.21877 | –0.91653 | 0.84285 | –0.26340 | |
| 5977 | 4.00 | –2.0 | 0.59856 | 0.20852 | 0.45991 | –0.06036 | 0.86084 | 1.43622 | –1.63025 | 1.57506 | –0.52309 | |
| 6437 | 4.00 | –2.0 | 0.56859 | 0.17828 | 0.46022 | –0.09412 | 0.86578 | 1.39622 | –1.46391 | 1.26974 | –0.37546 | |
| 5784 | 4.44 | –2.0 | 0.62103 | 0.20358 | 0.49221 | –0.06998 | 0.90276 | 1.30219 | –1.15073 | 1.07186 | –0.35042 | |
| 4972 | 4.50 | –2.0 | 0.68860 | 0.23125 | 0.53926 | –0.03294 | 0.94265 | 0.85345 | 0.22723 | –0.28352 | 0.10407 | |
| 5460 | 4.50 | –2.0 | 0.64309 | 0.20143 | 0.52075 | –0.06477 | 0.92477 | 0.86507 | 0.21908 | –0.44776 | 0.22070 | |
| 6057 | 4.50 | –2.0 | 0.60317 | 0.21858 | 0.45348 | –0.03590 | 0.83491 | 1.23655 | –1.11440 | 1.05958 | –0.34213 | |
| 6490 | 4.50 | –2.0 | 0.59069 | 0.23563 | 0.41864 | –0.00428 | 0.77730 | 1.25723 | –1.33216 | 1.35739 | –0.46197 | |
| 4971 | 5.00 | –2.0 | 0.66775 | 0.17879 | 0.57657 | –0.10938 | 1.01532 | 1.02230 | –0.12475 | 0.01055 | –0.00136 | |
| 5458 | 5.00 | –2.0 | 0.64344 | 0.18595 | 0.53943 | –0.07624 | 0.94022 | 0.66300 | 0.82112 | –1.09008 | 0.44583 | |
Notes. The linear (Col. 4), quadratic (Cols. 5, 6), square root (Cols. 7, 8) and four-parameter non-linear laws (Cols. 9–12) are listed.
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