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Home All issues Volume 518 (July-August 2010) A&A, 518 (2010) A30 Full HTML
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Table 1:

Perturbative coefficients (see development Eq. (17)) for g modes with frequency $\bar\omega>0.255$, radial order $n\leq 25$, and $\ell \leq 3$ in a polytropic stellar model with an index $\mu =3$.

n 		$\bar\omega^{(0)}_{\ell,n}$ $C_{\ell,n}$ $S^1_{\ell,n}$ $S^2_{\ell,n}$ $T^1_{\ell,n}$ $T^2_{\ell,n}$
  $\ell =1$
1 1.5861677 0.47187464 0.0027 -0.1215 0.0742 -
2 1.1338905 0.46515116 0.1946 -0.0991 0.1255 -
3 0.8807569 0.46565368 0.3473 -0.0779 0.1769 -
4 0.7195665 0.46890412 0.4801 -0.0604 0.2383 -
5 0.6082150 0.47259900 0.6021 -0.0458 0.3131 -
6 0.5267854 0.47600569 0.7176 -0.0330 0.4016 -
7 0.4646791 0.47895730 0.8289 -0.0215 0.5037 -
8 0.4157567 0.48146486 0.9374 -0.0108 0.6188 -
9 0.3762235 0.48358671 1.0440 -0.0007 0.7469 -
10 0.3436109 0.48538634 1.1490 0.0089 0.8877 -
11 0.3162449 0.48692017 1.2530 0.0182 1.0411 -
12 0.2929509 0.48823507 1.3562 0.0272 1.2069 -
13 0.2728805 0.48936906 1.4586 0.0360 1.3852 -
14 0.2554057 0.49035278 1.5606 0.0445 1.5758 -
  $\ell=2$
1 2.2168837 0.16413695 -0.0603 -0.1283 0.1162 0.0019
2 1.6817109 0.13416727 0.2040 -0.1171 0.1492 -0.0186
3 1.3499152 0.13379919 0.3992 -0.1267 0.2263 -0.0409
4 1.1271730 0.13720207 0.5686 -0.1417 0.3295 -0.0666
5 0.9676634 0.14084985 0.7244 -0.1587 0.4555 -0.0964
6 0.8478758 0.14409412 0.8717 -0.1767 0.6031 -0.1307
7 0.7546269 0.14685697 1.0136 -0.1952 0.7716 -0.1695
8 0.6799744 0.14918725 1.1517 -0.2140 0.9608 -0.2128
9 0.6188542 0.15115489 1.2870 -0.2330 1.1704 -0.2607
10 0.5678867 0.15282450 1.4201 -0.2521 1.4006 -0.3132
11 0.5247312 0.15424993 1.5517 -0.2713 1.6500 -0.3700
12 0.4877153 0.15547464 1.6819 -0.2905 1.9198 -0.4315
13 0.4556123 0.15653342 1.8111 -0.3098 2.2095 -0.4975
14 0.4275023 0.15745412 1.9395 -0.3291 2.5190 -0.5679
15 0.4026818 0.15825915 2.0672 -0.3484 2.8482 -0.6429
16 0.3806035 0.15896664 2.1943 -0.3678 3.1970 -0.7223
17 0.3608352 0.15959137 2.3209 -0.3872 3.5655 -0.8062
18 0.3430314 0.16014547 2.4470 -0.4066 3.9536 -0.8945
19 0.3269120 0.16063895 2.5728 -0.4259 4.3613 -0.9873
20 0.3122481 0.16108017 2.6983 -0.4453 4.7884 -1.0846
21 0.2988504 0.16147607 2.8234 -0.4648 5.2351 -1.1863
22 0.2865611 0.16183254 2.9484 -0.4842 5.7013 -1.2924
23 0.2752477 0.16215452 3.0731 -0.5036 6.1869 -1.4030
24 0.2647981 0.16244623 3.1976 -0.5230 6.6920 -1.5180
25 0.2551166 0.16271128 3.3220 -0.5424 7.2164 -1.6374
  $\ell =3$
1 2.6013404 0.06527813 -0.1840 -0.0702 0.0898 0.0117
2 2.0582624 0.04834015 0.0662 -0.0551 0.0478 0.0014
3 1.6990205 0.05125011 0.2366 -0.0576 0.0593 -0.0023
4 1.4466219 0.05532661 0.3818 -0.0631 0.0803 -0.0054
5 1.2597371 0.05898678 0.5132 -0.0695 0.1071 -0.0085
6 1.1157943 0.06207639 0.6359 -0.0764 0.1389 -0.0120
7 1.0015072 0.06465872 0.7527 -0.0836 0.1753 -0.0158
8 0.9085566 0.06682318 0.8653 -0.0909 0.2162 -0.0200
9 0.8314693 0.06864897 0.9747 -0.0983 0.2616 -0.0246
10 0.7664974 0.07020016 1.0817 -0.1058 0.3113 -0.0296
11 0.7109883 0.07152736 1.1869 -0.1133 0.3652 -0.0350
12 0.6630115 0.07267052 1.2906 -0.1208 0.4235 -0.0409
13 0.6211284 0.07366127 1.3931 -0.1284 0.4859 -0.0471
14 0.5842454 0.07452488 1.4946 -0.1360 0.5526 -0.0537
15 0.5515158 0.07528169 1.5953 -0.1437 0.6234 -0.0608
16 0.5222741 0.07594820 1.6953 -0.1513 0.6985 -0.0683
17 0.4959899 0.07653788 1.7947 -0.1590 0.7776 -0.0761
18 0.4722351 0.07706183 1.8936 -0.1666 0.8609 -0.0844
19 0.4506608 0.07752926 1.9920 -0.1743 0.9483 -0.0931
20 0.4309792 0.07794783 2.0901 -0.1820 1.0399 -0.1022
21 0.4129512 0.07832398 2.1878 -0.1897 1.1356 -0.1117
22 0.3963764 0.07866313 2.2853 -0.1974 1.2353 -0.1216
23 0.3810855 0.07896988 2.3825 -0.2051 1.3392 -0.1320
24 0.3669346 0.07924815 2.4794 -0.2128 1.4472 -0.1427
25 0.3538006 0.07950128 2.5762 -0.2205 1.5592 -0.1538


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