Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Jan 0 6 37 22.8741 22.5782 0.3042 -0.0084
1 6 41 19.4317 19.1336 0.3062 -0.0082
2 6 45 15.9914 15.6890 0.3082 -0.0057
3 6 49 12.5526 12.2443 0.3101 -0.0017
4 6 53 9.1145 8.7997 0.3119 0.0029
5 6 57 5.6760 5.3551 0.3137 0.0072
6 7 1 2.2363 1.9104 0.3155 0.0103
7 7 4 58.7948 58.4658 0.3172 0.0118
8 7 8 55.3512 55. 212 0.3189 0.0112
9 7 12 51.9057 51.5765 0.3205 0.0087
10 7 16 48.4586 48.1319 0.3220 0.0047
11 7 20 45. 105 44.6873 0.3234 -0.0002
12 7 24 41.5620 41.2426 0.3248 -0.0055
13 7 28 38.1139 37.7980 0.3262 -0.0103
14 7 32 34.6670 34.3534 0.3274 -0.0138
15 7 36 31.2219 30.9088 0.3286 -0.0154
16 7 40 27.7793 27.4641 0.3297 -0.0145
17 7 44 24.3391 24. 195 0.3307 -0.0111
18 7 48 20.9009 20.5749 0.3316 -0.0055
19 7 52 17.4638 17.1302 0.3324 0.0011
20 7 56 14. 260 13.6856 0.3332 0.0073
21 8 0 10.5862 10.2410 0.3338 0.0113
22 8 4 7.1430 6.7963 0.3344 0.0123
23 8 8 3.6965 3.3517 0.3349 0.0099
24 8 12 0.2476 59.9071 0.3352 0.0053
25 8 15 56.7978 56.4624 0.3355 -0.0001
26 8 19 53.3488 53. 178 0.3357 -0.0047
27 8 23 49.9016 49.5732 0.3358 -0.0074
28 8 27 46.4566 46.1285 0.3357 -0.0077
29 8 31 43. 138 42.6839 0.3356 -0.0057
30 8 35 39.5725 39.2393 0.3354 -0.0021
Jan 31 8 39 36.1320 35.7947 0.3350 0.0023
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Feb 1 8 43 32.6912 32.3500 0.3346 0.0066
2 8 47 29.2495 28.9054 0.3341 0.0100
3 8 51 25.8061 25.4608 0.3334 0.0119
4 8 55 22.3607 22. 161 0.3327 0.0119
5 8 59 18.9133 18.5715 0.3318 0.0100
6 9 3 15.4641 15.1269 0.3308 0.0064
7 9 7 12. 137 11.6822 0.3298 0.0017
8 9 11 8.5626 8.2376 0.3286 -0.0035
9 9 15 5.1117 4.7930 0.3273 -0.0085
10 9 19 1.6617 1.3483 0.3259 -0.0125
11 9 22 58.2133 57.9037 0.3244 -0.0149
12 9 26 54.7669 54.4591 0.3228 -0.0150
13 9 30 51.3227 51. 144 0.3212 -0.0129
14 9 34 47.8807 47.5698 0.3194 -0.0085
15 9 38 44.4400 44.1252 0.3175 -0.0027
16 9 42 40.9996 40.6806 0.3155 0.0036
17 9 46 37.5580 37.2359 0.3134 0.0086
18 9 50 34.1137 33.7913 0.3112 0.0112
19 9 54 30.6660 30.3467 0.3090 0.0104
20 9 58 27.2154 26.9020 0.3066 0.0067
21 10 2 23.7630 23.4574 0.3042 0.0014
22 10 6 20.3108 20. 128 0.3017 -0.0036
23 10 10 16.8602 16.5681 0.2990 -0.0069
24 10 14 13.4121 13.1235 0.2963 -0.0078
25 10 18 9.9662 9.6789 0.2936 -0.0062
26 10 22 6.5222 6.2342 0.2907 -0.0028
27 10 26 3. 791 2.7896 0.2878 0.0017
Feb 28 10 29 59.6360 59.3450 0.2848 0.0062
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Mar 1 10 33 56.1920 55.9003 0.2817 0.0099
2 10 37 52.7465 52.4557 0.2786 0.0122
3 10 41 49.2991 49. 111 0.2754 0.0126
4 10 45 45.8498 45.5665 0.2722 0.0112
5 10 49 42.3987 42.1218 0.2689 0.0081
6 10 53 38.9463 38.6772 0.2655 0.0036
7 10 57 35.4931 35.2326 0.2621 -0.0015
8 11 1 32. 399 31.7879 0.2586 -0.0066
9 11 5 28.5875 28.3433 0.2551 -0.0109
10 11 9 25.1365 24.8987 0.2516 -0.0137
11 11 13 21.6874 21.4540 0.2480 -0.0146
12 11 17 18.2405 18. 94 0.2444 -0.0132
13 11 21 14.7956 14.5648 0.2407 -0.0098
14 11 25 11.3523 11.1201 0.2370 -0.0048
15 11 29 7.9096 7.6755 0.2333 0.0008
16 11 33 4.4664 4.2309 0.2296 0.0060
17 11 37 1. 214 0.7862 0.2258 0.0093
18 11 40 57.5736 57.3416 0.2221 0.0099
19 11 44 54.1228 53.8970 0.2183 0.0075
20 11 48 50.6697 50.4523 0.2145 0.0028
21 11 52 47.2159 47. 77 0.2108 -0.0026
22 11 56 43.7633 43.5631 0.2070 -0.0068
23 12 0 40.3130 40.1185 0.2032 -0.0086
24 12 4 36.8656 36.6738 0.1994 -0.0077
25 12 8 33.4204 33.2292 0.1957 -0.0044
26 12 12 29.9767 29.7846 0.1919 0.0002
27 12 16 26.5332 26.3399 0.1882 0.0051
28 12 20 23. 891 22.8953 0.1845 0.0093
29 12 24 19.6436 19.4507 0.1808 0.0122
30 12 28 16.1964 16. 60 0.1771 0.0132
Mar 31 12 32 12.7472 12.5614 0.1735 0.0123
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Apr 1 12 36 9.2962 9.1168 0.1699 0.0096
2 12 40 5.8439 5.6721 0.1663 0.0054
3 12 44 2.3907 2.2275 0.1628 0.0004
4 12 47 58.9375 58.7829 0.1593 -0.0047
5 12 51 55.4848 55.3382 0.1559 -0.0093
6 12 55 52. 336 51.8936 0.1525 -0.0125
7 12 59 48.5843 48.4490 0.1491 -0.0138
8 13 3 45.1371 45. 44 0.1458 -0.0130
9 13 7 41.6922 41.5597 0.1426 -0.0102
10 13 11 38.2488 38.1151 0.1394 -0.0057
11 13 15 34.8064 34.6705 0.1363 -0.0004
12 13 19 31.3637 31.2258 0.1332 0.0046
13 13 23 27.9196 27.7812 0.1302 0.0082
14 13 27 24.4733 24.3366 0.1273 0.0095
15 13 31 21. 243 20.8919 0.1244 0.0080
16 13 35 17.5729 17.4473 0.1216 0.0040
17 13 39 14.1203 14. 27 0.1189 -0.0013
18 13 43 10.6681 10.5580 0.1163 -0.0062
19 13 47 7.2179 7.1134 0.1137 -0.0092
20 13 51 3.7706 3.6688 0.1112 -0.0094
21 13 55 0.3261 0.2241 0.1088 -0.0069
22 13 58 56.8836 56.7795 0.1065 -0.0024
23 14 2 53.4420 53.3349 0.1043 0.0029
24 14 6 50. 1 49.8903 0.1021 0.0078
25 14 10 46.5571 46.4456 0.1000 0.0114
26 14 14 43.1123 43. 10 0.0980 0.0133
27 14 18 39.6655 39.5564 0.0961 0.0130
28 14 22 36.2169 36.1117 0.0943 0.0108
29 14 26 32.7667 32.6671 0.0926 0.0071
Apr 30 14 30 29.3156 29.2225 0.0909 0.0022
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
May 1 14 34 25.8643 25.7778 0.0894 -0.0030
2 14 38 22.4134 22.3332 0.0879 -0.0078
3 14 42 18.9637 18.8886 0.0866 -0.0114
4 14 46 15.5159 15.4439 0.0853 -0.0133
5 14 50 12. 704 11.9993 0.0841 -0.0130
6 14 54 8.6271 8.5547 0.0830 -0.0106
7 14 58 5.1857 5.1100 0.0820 -0.0063
8 15 2 1.7455 1.6654 0.0811 -0.0010
9 15 5 58.3052 58.2208 0.0802 0.0042
10 15 9 54.8637 54.7762 0.0795 0.0081
11 15 13 51.4202 51.3315 0.0788 0.0098
12 15 17 47.9740 47.8869 0.0783 0.0089
13 15 21 44.5255 44.4423 0.0778 0.0054
14 15 25 41. 755 40.9976 0.0774 0.0004
15 15 29 37.6253 37.5530 0.0771 -0.0048
16 15 33 34.1765 34.1084 0.0769 -0.0088
17 15 37 30.7302 30.6637 0.0767 -0.0103
18 15 41 27.2869 27.2191 0.0767 -0.0089
19 15 45 23.8460 23.7745 0.0767 -0.0052
20 15 49 20.4067 20.3298 0.0768 0.0001
21 15 53 16.9676 16.8852 0.0770 0.0054
22 15 57 13.5277 13.4406 0.0773 0.0099
23 16 1 10. 861 9.9959 0.0776 0.0126
24 16 5 6.6426 6.5513 0.0780 0.0132
25 16 9 3.1969 3.1067 0.0785 0.0118
26 16 12 59.7496 59.6621 0.0790 0.0085
27 16 16 56.3010 56.2174 0.0797 0.0039
28 16 20 52.8518 52.7728 0.0803 -0.0013
29 16 24 49.4029 49.3282 0.0811 -0.0064
30 16 28 45.9549 45.8835 0.0819 -0.0105
May 31 16 32 42.5086 42.4389 0.0828 -0.0130
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Jun 1 16 36 39. 645 38.9943 0.0837 -0.0135
2 16 40 35.6227 35.5496 0.0847 -0.0116
3 16 44 32.1831 32.1050 0.0857 -0.0076
4 16 48 28.7449 28.6604 0.0868 -0.0023
5 16 52 25.3070 25.2157 0.0879 0.0033
6 16 56 21.8681 21.7711 0.0891 0.0079
7 17 0 18.4272 18.3265 0.0903 0.0104
8 17 4 14.9836 14.8818 0.0916 0.0101
9 17 8 11.5374 11.4372 0.0929 0.0072
10 17 12 8. 893 7.9926 0.0942 0.0025
11 17 16 4.6407 4.5480 0.0956 -0.0029
12 17 20 1.1929 1.1033 0.0970 -0.0074
13 17 23 57.7472 57.6587 0.0984 -0.0099
14 17 27 54.3042 54.2141 0.0999 -0.0097
15 17 31 50.8639 50.7694 0.1013 -0.0069
16 17 35 47.4253 47.3248 0.1028 -0.0023
17 17 39 43.9876 43.8802 0.1043 0.0031
18 17 43 40.5493 40.4355 0.1058 0.0080
19 17 47 37.1097 36.9909 0.1074 0.0114
20 17 51 33.6681 33.5463 0.1089 0.0129
21 17 55 30.2243 30.1016 0.1104 0.0123
22 17 59 26.7786 26.6570 0.1120 0.0096
23 18 3 23.3313 23.2124 0.1135 0.0054
24 18 7 19.8831 19.7677 0.1150 0.0004
25 18 11 16.4348 16.3231 0.1165 -0.0049
26 18 15 12.9871 12.8785 0.1181 -0.0094
27 18 19 9.5407 9.4338 0.1196 -0.0127
28 18 23 6. 963 5.9892 0.1210 -0.0139
29 18 27 2.6542 2.5446 0.1225 -0.0129
Jun 30 18 30 59.2143 59.1000 0.1239 -0.0096
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Jul 1 18 34 55.7761 55.6553 0.1253 -0.0046
2 18 38 52.3387 52.2107 0.1267 0.0013
3 18 42 48.9008 48.7661 0.1281 0.0067
4 18 46 45.4611 45.3214 0.1294 0.0102
5 18 50 42. 185 41.8768 0.1307 0.0110
6 18 54 38.5731 38.4322 0.1320 0.0089
7 18 58 35.1253 34.9875 0.1332 0.0046
8 19 2 31.6765 31.5429 0.1343 -0.0008
9 19 6 28.2281 28. 983 0.1355 -0.0056
10 19 10 24.7814 24.6536 0.1365 -0.0087
11 19 14 21.3372 21.2090 0.1376 -0.0094
12 19 18 17.8955 17.7644 0.1385 -0.0074
13 19 22 14.4557 14.3197 0.1394 -0.0035
14 19 26 11. 169 10.8751 0.1403 0.0015
15 19 30 7.5781 7.4305 0.1411 0.0065
16 19 34 4.1381 3.9859 0.1418 0.0104
17 19 38 0.6963 0.5412 0.1425 0.0125
18 19 41 57.2523 57. 966 0.1431 0.0126
19 19 45 53.8062 53.6520 0.1437 0.0106
20 19 49 50.3583 50.2073 0.1441 0.0069
21 19 53 46.9093 46.7627 0.1445 0.0020
22 19 57 43.4597 43.3181 0.1449 -0.0032
23 20 1 40. 105 39.8734 0.1451 -0.0081
24 20 5 36.5622 36.4288 0.1453 -0.0119
25 20 9 33.1156 32.9842 0.1454 -0.0140
26 20 13 29.6710 29.5395 0.1454 -0.0140
27 20 17 26.2286 26. 949 0.1453 -0.0117
28 20 21 22.7881 22.6503 0.1452 -0.0073
29 20 25 19.3489 19.2056 0.1450 -0.0017
30 20 29 15.9098 15.7610 0.1447 0.0041
Jul 31 20 33 12.4694 12.3164 0.1443 0.0087
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Aug 1 20 37 9. 264 8.8718 0.1438 0.0108
2 20 41 5.5803 5.4271 0.1432 0.0099
3 20 45 2.1314 1.9825 0.1426 0.0063
4 20 48 58.6809 58.5379 0.1419 0.0011
5 20 52 55.2303 55. 932 0.1410 -0.0040
6 20 56 51.7812 51.6486 0.1401 -0.0076
7 21 0 48.3343 48.2040 0.1391 -0.0088
8 21 4 44.8899 44.7593 0.1380 -0.0074
9 21 8 41.4476 41.3147 0.1369 -0.0040
10 21 12 38. 64 37.8701 0.1356 0.0007
11 21 16 34.5653 34.4254 0.1342 0.0056
12 21 20 31.1234 30.9808 0.1328 0.0098
13 21 24 27.6798 27.5362 0.1313 0.0124
14 21 28 24.2342 24. 915 0.1296 0.0130
15 21 32 20.7864 20.6469 0.1279 0.0115
16 21 36 17.3367 17.2023 0.1261 0.0083
17 21 40 13.8857 13.7577 0.1243 0.0037
18 21 44 10.4339 10.3130 0.1223 -0.0014
19 21 48 6.9822 6.8684 0.1203 -0.0064
20 21 52 3.5313 3.4238 0.1181 -0.0106
21 21 56 0. 817 59.9791 0.1159 -0.0134
22 21 59 56.6339 56.5345 0.1136 -0.0142
23 22 3 53.1882 53. 899 0.1112 -0.0129
24 22 7 49.7445 49.6452 0.1088 -0.0095
25 22 11 46.3022 46.2006 0.1063 -0.0046
26 22 15 42.8606 42.7560 0.1036 0.0009
27 22 19 39.4183 39.3113 0.1010 0.0060
28 22 23 35.9743 35.8667 0.0982 0.0093
29 22 27 32.5273 32.4221 0.0954 0.0099
30 22 31 29. 773 28.9774 0.0925 0.0074
Aug 31 22 35 25.6250 25.5328 0.0895 0.0027
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Sep 1 22 39 22.1721 22. 882 0.0865 -0.0026
2 22 43 18.7201 18.6436 0.0834 -0.0068
3 22 47 15.2705 15.1989 0.0803 -0.0087
4 22 51 11.8236 11.7543 0.0771 -0.0078
5 22 55 8.3789 8.3097 0.0738 -0.0046
6 22 59 4.9356 4.8650 0.0705 0.0001
7 23 3 1.4926 1.4204 0.0671 0.0051
8 23 6 58. 489 57.9758 0.0637 0.0095
9 23 10 54.6038 54.5311 0.0602 0.0125
10 23 14 51.1568 51. 865 0.0567 0.0135
11 23 18 47.7076 47.6419 0.0532 0.0126
12 23 22 44.2566 44.1972 0.0496 0.0098
13 23 26 40.8041 40.7526 0.0460 0.0055
14 23 30 37.3508 37.3080 0.0423 0.0005
15 23 34 33.8974 33.8633 0.0387 -0.0046
16 23 38 30.4446 30.4187 0.0350 -0.0091
17 23 42 26.9930 26.9741 0.0312 -0.0123
18 23 46 23.5432 23.5295 0.0275 -0.0137
19 23 50 20. 954 20. 848 0.0237 -0.0131
20 23 54 16.6495 16.6402 0.0199 -0.0106
21 23 58 13.2052 13.1956 0.0161 -0.0065
22 0 2 9.7618 9.7509 0.0123 -0.0014
23 0 6 6.3184 6.3063 0.0085 0.0035
24 0 10 2.8737 2.8617 0.0047 0.0073
25 0 13 59.4269 59.4170 0.0009 0.0089
26 0 17 55.9772 55.9724-0.0029 0.0077
27 0 21 52.5250 52.5278-0.0066 0.0039
28 0 25 49. 713 49. 831-0.0104 -0.0014
29 0 29 45.6180 45.6385-0.0142 -0.0063
Sep 30 0 33 42.1668 42.1939-0.0179 -0.0092
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Oct 1 0 37 38.7185 38.7492-0.0216 -0.0091
2 0 41 35.2730 35.3046-0.0253 -0.0063
3 0 45 31.8295 31.8600-0.0290 -0.0015
4 0 49 28.3867 28.4154-0.0326 0.0039
5 0 53 24.9434 24.9707-0.0362 0.0089
6 0 57 21.4987 21.5261-0.0398 0.0124
7 1 1 18. 522 18. 815-0.0433 0.0141
8 1 5 14.6037 14.6368-0.0468 0.0137
9 1 9 11.1533 11.1922-0.0502 0.0113
10 1 13 7.7013 7.7476-0.0536 0.0073
11 1 17 4.2484 4.3029-0.0569 0.0024
12 1 21 0.7954 0.8583-0.0602 -0.0027
13 1 24 57.3429 57.4137-0.0634 -0.0074
14 1 28 53.8915 53.9690-0.0665 -0.0110
15 1 32 50.4419 50.5244-0.0696 -0.0129
16 1 36 46.9943 47. 798-0.0726 -0.0128
17 1 40 43.5487 43.6351-0.0756 -0.0108
18 1 44 40.1048 40.1905-0.0785 -0.0072
19 1 48 36.6620 36.7459-0.0813 -0.0026
20 1 52 33.2194 33.3013-0.0840 0.0022
21 1 56 29.7760 29.8566-0.0866 0.0061
22 2 0 26.3309 26.4120-0.0892 0.0081
23 2 4 22.8834 22.9674-0.0917 0.0077
24 2 8 19.4334 19.5227-0.0941 0.0048
25 2 12 15.9817 16. 781-0.0964 0.0000
26 2 16 12.5295 12.6335-0.0986 -0.0053
27 2 20 9. 787 9.1888-0.1007 -0.0094
28 2 24 5.6307 5.7442-0.1028 -0.0107
29 2 28 2.1860 2.2996-0.1047 -0.0089
30 2 31 58.7439 58.8549-0.1066 -0.0045
Oct 31 2 35 55.3034 55.4103-0.1083 0.0014
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Nov 1 2 39 51.8628 51.9657-0.1099 0.0071
2 2 43 48.4211 48.5210-0.1115 0.0116
3 2 47 44.9776 45. 764-0.1129 0.0141
4 2 51 41.5319 41.6318-0.1143 0.0145
5 2 55 38. 843 38.1872-0.1155 0.0126
6 2 59 34.6349 34.7425-0.1167 0.0091
7 3 3 31.1845 31.2979-0.1177 0.0043
8 3 7 27.7337 27.8533-0.1187 -0.0008
9 3 11 24.2834 24.4086-0.1195 -0.0058
10 3 15 20.8341 20.9640-0.1202 -0.0097
11 3 19 17.3864 17.5194-0.1209 -0.0121
12 3 23 13.9408 14. 747-0.1214 -0.0125
13 3 27 10.4974 10.6301-0.1218 -0.0109
14 3 31 7. 558 7.1855-0.1221 -0.0076
15 3 35 3.6154 3.7408-0.1223 -0.0031
16 3 39 0.1754 0.2962-0.1225 0.0017
17 3 42 56.7349 56.8516-0.1225 0.0058
18 3 46 53.2928 53.4069-0.1224 0.0082
19 3 50 49.8484 49.9623-0.1222 0.0083
20 3 54 46.4017 46.5177-0.1219 0.0060
21 3 58 42.9531 43. 731-0.1216 0.0016
22 4 2 39.5036 39.6284-0.1211 -0.0037
23 4 6 36. 548 36.1838-0.1205 -0.0085
24 4 10 32.6080 32.7392-0.1199 -0.0112
25 4 14 29.1644 29.2945-0.1191 -0.0110
26 4 18 25.7239 25.8499-0.1183 -0.0077
27 4 22 22.2856 22.4053-0.1174 -0.0022
28 4 26 18.8482 18.9606-0.1164 0.0040
29 4 30 15.4101 15.5160-0.1153 0.0095
Nov 30 4 34 11.9704 12. 714-0.1142 0.0132
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Dec 1 4 38 8.5284 8.6267-0.1129 0.0145
2 4 42 5. 841 5.1821-0.1116 0.0136
3 4 46 1.6378 1.7375-0.1103 0.0106
4 4 49 58.1902 58.2928-0.1088 0.0062
5 4 53 54.7419 54.8482-0.1073 0.0010
6 4 57 51.2937 51.4036-0.1057 -0.0041
7 5 1 47.8464 47.9589-0.1041 -0.0085
8 5 5 44.4005 44.5143-0.1024 -0.0114
9 5 9 40.9565 41. 697-0.1007 -0.0125
10 5 13 37.5147 37.6251-0.0989 -0.0115
11 5 17 34. 749 34.1804-0.0971 -0.0085
12 5 21 30.6366 30.7358-0.0952 -0.0040
13 5 25 27.1989 27.2912-0.0933 0.0010
14 5 29 23.7607 23.8465-0.0913 0.0055
15 5 33 20.3211 20.4019-0.0894 0.0086
16 5 37 16.8793 16.9573-0.0873 0.0093
17 5 41 13.4349 13.5126-0.0853 0.0076
18 5 45 9.9883 10. 680-0.0833 0.0036
19 5 49 6.5405 6.6234-0.0812 -0.0016
20 5 53 3. 929 3.1787-0.0791 -0.0068
21 5 56 59.6467 59.7341-0.0770 -0.0104
22 6 0 56.2032 56.2895-0.0749 -0.0114
23 6 4 52.7625 52.8448-0.0728 -0.0095
24 6 8 49.3244 49.4002-0.0707 -0.0051
25 6 12 45.8877 45.9556-0.0686 0.0007
26 6 16 42.4510 42.5110-0.0665 0.0066
27 6 20 39. 131 39. 663-0.0645 0.0113
28 6 24 35.5731 35.6217-0.0624 0.0138
29 6 28 32.1305 32.1771-0.0604 0.0139
30 6 32 28.6857 28.7324-0.0584 0.0117
31 6 36 25.2391 25.2878-0.0564 0.0077
Dec 32 6 40 21.7915 21.8432-0.0545 0.0028
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