Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Jan 0 6 38 20.4940 19.8687 0.6310 -0.0056
1 6 42 17. 596 16.4240 0.6331 0.0024
2 6 46 13.6243 12.9794 0.6352 0.0097
3 6 50 10.1864 9.5348 0.6373 0.0144
4 6 54 6.7448 6. 901 0.6393 0.0154
5 6 58 3.2996 2.6455 0.6412 0.0129
6 7 1 59.8521 59.2009 0.6431 0.0081
7 7 5 56.4037 55.7562 0.6450 0.0025
8 7 9 52.9558 52.3116 0.6468 -0.0025
9 7 13 49.5095 48.8670 0.6485 -0.0060
10 7 17 46. 651 45.4224 0.6502 -0.0075
11 7 21 42.6226 41.9777 0.6518 -0.0069
12 7 25 39.1819 38.5331 0.6533 -0.0045
13 7 29 35.7422 35. 885 0.6548 -0.0010
14 7 33 32.3029 31.6438 0.6562 0.0030
15 7 37 28.8633 28.1992 0.6575 0.0066
16 7 41 25.4225 24.7546 0.6587 0.0092
17 7 45 21.9801 21.3099 0.6598 0.0103
18 7 49 18.5357 17.8653 0.6609 0.0095
19 7 53 15. 894 14.4207 0.6619 0.0069
20 7 57 11.6415 10.9760 0.6628 0.0027
21 8 1 8.1924 7.5314 0.6635 -0.0026
22 8 5 4.7429 4. 868 0.6642 -0.0081
23 8 9 1.2941 0.6421 0.6648 -0.0129
24 8 12 57.8468 57.1975 0.6653 -0.0161
25 8 16 54.4019 53.7529 0.6658 -0.0167
26 8 20 50.9598 50.3083 0.6661 -0.0145
27 8 24 47.5205 46.8636 0.6663 -0.0094
28 8 28 44. 831 43.4190 0.6664 -0.0023
29 8 32 40.6460 39.9744 0.6664 0.0053
30 8 36 37.2073 36.5297 0.6663 0.0113
Jan 31 8 40 33.7654 33. 851 0.6661 0.0143
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Feb 1 8 44 30.3197 29.6405 0.6657 0.0135
2 8 48 26.8708 26.1958 0.6653 0.0097
3 8 52 23.4202 22.7512 0.6648 0.0042
4 8 56 19.9696 19.3066 0.6642 -0.0012
5 9 0 16.5202 15.8619 0.6634 -0.0052
6 9 4 13. 728 12.4173 0.6626 -0.0072
7 9 8 9.6274 8.9727 0.6617 -0.0070
8 9 12 6.1837 5.5280 0.6606 -0.0049
9 9 16 2.7413 2. 834 0.6594 -0.0015
10 9 19 59.2994 58.6388 0.6582 0.0024
11 9 23 55.8572 55.1941 0.6568 0.0062
12 9 27 52.4140 51.7495 0.6554 0.0092
13 9 31 48.9694 48.3049 0.6538 0.0107
14 9 35 45.5229 44.8603 0.6521 0.0105
15 9 39 42. 744 41.4156 0.6504 0.0084
16 9 43 38.6241 37.9710 0.6485 0.0046
17 9 47 35.1725 34.5264 0.6465 -0.0004
18 9 51 31.7204 31. 817 0.6445 -0.0058
19 9 55 28.2686 27.6371 0.6424 -0.0109
20 9 59 24.8181 24.1925 0.6401 -0.0145
21 10 3 21.3697 20.7478 0.6378 -0.0160
22 10 7 17.9238 17.3032 0.6354 -0.0148
23 10 11 14.4805 13.8586 0.6329 -0.0110
24 10 15 11. 393 10.4139 0.6303 -0.0050
25 10 19 7.5989 6.9693 0.6277 0.0019
26 10 23 4.1578 3.5247 0.6250 0.0081
27 10 27 0.7144 0. 800 0.6221 0.0122
Feb 28 10 30 57.2677 56.6354 0.6193 0.0130
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Mar 1 10 34 53.8176 53.1908 0.6163 0.0105
2 10 38 50.3651 49.7462 0.6133 0.0056
3 10 42 46.9119 46.3015 0.6103 0.0001
4 10 46 43.4594 42.8569 0.6071 -0.0046
5 10 50 40. 89 39.4123 0.6039 -0.0073
6 10 54 36.5606 35.9676 0.6007 -0.0077
7 10 58 33.1143 32.5230 0.5974 -0.0060
8 11 2 29.6696 29. 784 0.5941 -0.0028
9 11 6 26.2256 25.6337 0.5907 0.0012
10 11 10 22.7816 22.1891 0.5872 0.0053
11 11 14 19.3369 18.7445 0.5838 0.0086
12 11 18 15.8908 15.2998 0.5803 0.0107
13 11 22 12.4430 11.8552 0.5767 0.0110
14 11 26 8.9933 8.4106 0.5732 0.0095
15 11 30 5.5418 4.9659 0.5696 0.0062
16 11 34 2. 889 1.5213 0.5660 0.0016
17 11 37 58.6353 58. 767 0.5624 -0.0038
18 11 41 55.1818 54.6321 0.5587 -0.0090
19 11 45 51.7295 51.1874 0.5551 -0.0130
20 11 49 48.2792 47.7428 0.5514 -0.0150
21 11 53 44.8315 44.2982 0.5478 -0.0144
22 11 57 41.3864 40.8535 0.5441 -0.0113
23 12 1 37.9434 37.4089 0.5405 -0.0060
24 12 5 34.5014 33.9643 0.5368 0.0004
25 12 9 31. 592 30.5196 0.5332 0.0064
26 12 13 27.6154 27. 750 0.5295 0.0108
27 12 17 24.1687 23.6304 0.5259 0.0124
28 12 21 20.7190 20.1857 0.5223 0.0110
29 12 25 17.2668 16.7411 0.5188 0.0069
30 12 29 13.8132 13.2965 0.5152 0.0015
Mar 31 12 33 10.3599 9.8518 0.5117 -0.0037
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Apr 1 12 37 6.9081 6.4072 0.5082 -0.0073
2 12 41 3.4587 2.9626 0.5048 -0.0086
3 12 45 0. 117 59.5179 0.5014 -0.0076
4 12 48 56.5667 56. 733 0.4980 -0.0047
5 12 52 53.1228 52.6287 0.4947 -0.0006
6 12 56 49.6792 49.1841 0.4914 0.0037
7 13 0 46.2351 45.7394 0.4882 0.0075
8 13 4 42.7899 42.2948 0.4850 0.0100
9 13 8 39.3431 38.8502 0.4819 0.0110
10 13 12 35.8945 35.4055 0.4789 0.0101
11 13 16 32.4441 31.9609 0.4759 0.0074
12 13 20 28.9923 28.5163 0.4729 0.0031
13 13 24 25.5396 25. 716 0.4700 -0.0020
14 13 28 22. 869 21.6270 0.4672 -0.0074
15 13 32 18.6351 18.1824 0.4645 -0.0118
16 13 36 15.1852 14.7377 0.4618 -0.0144
17 13 40 11.7379 11.2931 0.4592 -0.0145
18 13 44 8.2934 7.8485 0.4567 -0.0118
19 13 48 4.8513 4.4038 0.4543 -0.0068
20 13 52 1.4107 0.9592 0.4519 -0.0005
21 13 55 57.9700 57.5146 0.4496 0.0058
22 13 59 54.5279 54. 700 0.4474 0.0105
23 14 3 51. 833 50.6253 0.4453 0.0127
24 14 7 47.6358 47.1807 0.4433 0.0118
25 14 11 44.1857 43.7361 0.4413 0.0083
26 14 15 40.7341 40.2914 0.4394 0.0032
27 14 19 37.2823 36.8468 0.4377 -0.0022
28 14 23 33.8316 33.4022 0.4360 -0.0065
29 14 27 30.3831 29.9575 0.4343 -0.0088
Apr 30 14 31 26.9370 26.5129 0.4328 -0.0087
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
May 1 14 35 23.4932 23. 683 0.4314 -0.0064
2 14 39 20. 510 19.6236 0.4301 -0.0027
3 14 43 16.6096 16.1790 0.4288 0.0017
4 14 47 13.1679 12.7344 0.4276 0.0059
5 14 51 9.7253 9.2897 0.4266 0.0090
6 14 55 6.2813 5.8451 0.4256 0.0106
7 14 59 2.8355 2.4005 0.4247 0.0103
8 15 2 59.3879 58.9559 0.4239 0.0082
9 15 6 55.9388 55.5112 0.4232 0.0044
10 15 10 52.4886 52. 666 0.4226 -0.0005
11 15 14 49. 381 48.6220 0.4220 -0.0059
12 15 18 45.5881 45.1773 0.4216 -0.0108
13 15 22 42.1397 41.7327 0.4212 -0.0142
14 15 26 38.6938 38.2881 0.4209 -0.0152
15 15 30 35.2509 34.8434 0.4208 -0.0133
16 15 34 31.8108 31.3988 0.4207 -0.0086
17 15 38 28.3726 27.9542 0.4206 -0.0022
18 15 42 24.9349 24.5095 0.4207 0.0047
19 15 46 21.4959 21. 649 0.4208 0.0102
20 15 50 18. 545 17.6203 0.4211 0.0132
21 15 54 14.6101 14.1756 0.4213 0.0131
22 15 58 11.1629 10.7310 0.4217 0.0101
23 16 2 7.7138 7.2864 0.4222 0.0052
24 16 6 4.2642 3.8418 0.4227 -0.0002
25 16 10 0.8154 0.3971 0.4233 -0.0050
26 16 13 57.3684 56.9525 0.4240 -0.0080
27 16 17 53.9238 53.5079 0.4247 -0.0088
28 16 21 50.4814 50. 632 0.4255 -0.0073
29 16 25 47. 409 46.6186 0.4263 -0.0041
30 16 29 43.6014 43.1740 0.4273 0.0002
May 31 16 33 40.1620 39.7293 0.4282 0.0044
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Jun 1 16 37 36.7220 36.2847 0.4293 0.0080
2 16 41 33.2806 32.8401 0.4304 0.0101
3 16 45 29.8374 29.3954 0.4315 0.0105
4 16 49 26.3925 25.9508 0.4327 0.0089
5 16 53 22.9458 22.5062 0.4340 0.0056
6 16 57 19.4978 19. 615 0.4352 0.0010
7 17 1 16. 491 15.6169 0.4366 -0.0043
8 17 5 12.6007 12.1723 0.4379 -0.0096
9 17 9 9.1533 8.7276 0.4394 -0.0137
10 17 13 5.7080 5.2830 0.4408 -0.0158
11 17 17 2.2655 1.8384 0.4423 -0.0151
12 17 20 58.8261 58.3938 0.4438 -0.0115
13 17 24 55.3891 54.9491 0.4453 -0.0053
14 17 28 51.9533 51.5045 0.4468 0.0019
15 17 32 48.5168 48. 599 0.4484 0.0086
16 17 36 45. 782 44.6152 0.4500 0.0129
17 17 40 41.6362 41.1706 0.4516 0.0140
18 17 44 38.1911 37.7260 0.4532 0.0119
19 17 48 34.7436 34.2813 0.4549 0.0074
20 17 52 31.2951 30.8367 0.4565 0.0019
21 17 56 27.8470 27.3921 0.4581 -0.0032
22 18 0 24.4005 23.9474 0.4598 -0.0067
23 18 4 20.9561 20.5028 0.4614 -0.0081
24 18 8 17.5139 17. 582 0.4630 -0.0073
25 18 12 14. 736 13.6135 0.4646 -0.0046
26 18 16 10.6345 10.1689 0.4663 -0.0007
27 18 20 7.1956 6.7243 0.4679 0.0035
28 18 24 3.7563 3.2797 0.4694 0.0073
29 18 28 0.3158 59.8350 0.4710 0.0098
Jun 30 18 31 56.8736 56.3904 0.4725 0.0107
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Jul 1 18 35 53.4295 52.9458 0.4740 0.0097
2 18 39 49.9836 49.5011 0.4755 0.0069
3 18 43 46.5361 46. 565 0.4770 0.0027
4 18 47 43. 877 42.6119 0.4784 -0.0026
5 18 51 39.6391 39.1672 0.4798 -0.0079
6 18 55 36.1912 35.7226 0.4811 -0.0126
7 18 59 32.7448 32.2780 0.4824 -0.0156
8 19 3 29.3008 28.8333 0.4837 -0.0162
9 19 7 25.8596 25.3887 0.4849 -0.0140
10 19 11 22.4211 21.9441 0.4861 -0.0090
11 19 15 18.9845 18.4994 0.4872 -0.0021
12 19 19 15.5483 15. 548 0.4883 0.0052
13 19 23 12.1104 11.6102 0.4893 0.0110
14 19 27 8.6695 8.1656 0.4902 0.0137
15 19 31 5.2250 4.7209 0.4911 0.0129
16 19 35 1.7774 1.2763 0.4919 0.0092
17 19 38 58.3283 57.8317 0.4927 0.0039
18 19 42 54.8790 54.3870 0.4934 -0.0014
19 19 46 51.4310 50.9424 0.4940 -0.0054
20 19 50 47.9850 47.4978 0.4946 -0.0073
21 19 54 44.5412 44. 531 0.4951 -0.0070
22 19 58 41. 992 40.6085 0.4955 -0.0048
23 20 2 37.6585 37.1639 0.4958 -0.0012
24 20 6 34.2183 33.7192 0.4961 0.0030
25 20 10 30.7778 30.2746 0.4963 0.0069
26 20 14 27.3361 26.8300 0.4964 0.0097
27 20 18 23.8928 23.3853 0.4964 0.0111
28 20 22 20.4477 19.9407 0.4964 0.0106
29 20 26 17. 6 16.4961 0.4962 0.0083
30 20 30 13.5519 13. 514 0.4960 0.0044
Jul 31 20 34 10.1019 9.6068 0.4957 -0.0006
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Aug 1 20 38 6.6515 6.1622 0.4953 -0.0059
2 20 42 3.2015 2.7176 0.4948 -0.0109
3 20 45 59.7526 59.2729 0.4942 -0.0146
4 20 49 56.3057 55.8283 0.4936 -0.0162
5 20 53 52.8612 52.3837 0.4928 -0.0153
6 20 57 49.4194 48.9390 0.4920 -0.0117
7 21 1 45.9797 45.4944 0.4911 -0.0058
8 21 5 42.5410 42. 498 0.4901 0.0011
9 21 9 39.1017 38.6051 0.4890 0.0076
10 21 13 35.6602 35.1605 0.4878 0.0119
11 21 17 32.2152 31.7159 0.4865 0.0128
12 21 21 28.7667 28.2712 0.4852 0.0103
13 21 25 25.3158 24.8266 0.4837 0.0055
14 21 29 21.8642 21.3820 0.4822 0.0001
15 21 33 18.4135 17.9373 0.4805 -0.0044
16 21 37 14.9646 14.4927 0.4788 -0.0069
17 21 41 11.5180 11. 481 0.4770 -0.0071
18 21 45 8. 734 7.6035 0.4751 -0.0051
19 21 49 4.6303 4.1588 0.4732 -0.0017
20 21 53 1.1877 0.7142 0.4711 0.0024
21 21 56 57.7450 57.2696 0.4690 0.0065
22 22 0 54.3013 53.8249 0.4667 0.0097
23 22 4 50.8562 50.3803 0.4644 0.0114
24 22 8 47.4092 46.9357 0.4621 0.0115
25 22 12 43.9603 43.4910 0.4596 0.0096
26 22 16 40.5096 40. 464 0.4571 0.0061
27 22 20 37. 577 36.6018 0.4545 0.0014
28 22 24 33.6051 33.1571 0.4518 -0.0038
29 22 28 30.1526 29.7125 0.4490 -0.0089
30 22 32 26.7011 26.2679 0.4462 -0.0130
Aug 31 22 36 23.2513 22.8232 0.4433 -0.0153
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Sep 1 22 40 19.8037 19.3786 0.4404 -0.0152
2 22 44 16.3586 15.9340 0.4373 -0.0127
3 22 48 12.9156 12.4894 0.4343 -0.0080
4 22 52 9.4740 9. 447 0.4311 -0.0018
5 22 56 6. 325 5.6001 0.4279 0.0045
6 23 0 2.5895 2.1555 0.4247 0.0094
7 23 3 59.1439 58.7108 0.4214 0.0116
8 23 7 55.6949 55.2662 0.4180 0.0106
9 23 11 52.2430 51.8216 0.4147 0.0067
10 23 15 48.7895 48.3769 0.4112 0.0014
11 23 19 45.3364 44.9323 0.4077 -0.0037
12 23 23 41.8849 41.4877 0.4042 -0.0070
13 23 27 38.4359 38. 430 0.4007 -0.0078
14 23 31 34.9892 34.5984 0.3971 -0.0063
15 23 35 31.5443 31.1538 0.3935 -0.0030
16 23 39 28.1003 27.7091 0.3898 0.0013
17 23 43 24.6563 24.2645 0.3862 0.0056
18 23 47 21.2116 20.8199 0.3825 0.0092
19 23 51 17.7655 17.3753 0.3788 0.0115
20 23 55 14.3177 13.9306 0.3751 0.0120
21 23 59 10.8681 10.4860 0.3714 0.0107
22 0 3 7.4167 7. 414 0.3676 0.0077
23 0 7 3.9639 3.5967 0.3639 0.0033
24 0 11 0.5104 0.1521 0.3602 -0.0019
25 0 14 57. 569 56.7075 0.3564 -0.0070
26 0 18 53.6042 53.2628 0.3527 -0.0114
27 0 22 50.1531 49.8182 0.3490 -0.0141
28 0 26 46.7042 46.3736 0.3453 -0.0146
29 0 30 43.2578 42.9289 0.3416 -0.0128
Sep 30 0 34 39.8135 39.4843 0.3379 -0.0087
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Oct 1 0 38 36.3707 36. 397 0.3342 -0.0032
2 0 42 32.9284 32.5950 0.3306 0.0027
3 0 46 29.4851 29.1504 0.3270 0.0077
4 0 50 26. 398 25.7058 0.3234 0.0106
5 0 54 22.5916 22.2611 0.3199 0.0106
6 0 58 19.1406 18.8165 0.3164 0.0077
7 1 2 15.6876 15.3719 0.3130 0.0028
8 1 6 12.2342 11.9273 0.3095 -0.0026
9 1 10 8.7820 8.4826 0.3062 -0.0068
10 1 14 5.3321 5. 380 0.3029 -0.0087
11 1 18 1.8849 1.5934 0.2996 -0.0080
12 1 21 58.4401 58.1487 0.2964 -0.0050
13 1 25 54.9966 54.7041 0.2932 -0.0007
14 1 29 51.5536 51.2595 0.2902 0.0040
15 1 33 48.1101 47.8148 0.2871 0.0081
16 1 37 44.6653 44.3702 0.2842 0.0110
17 1 41 41.2190 40.9256 0.2813 0.0121
18 1 45 37.7708 37.4809 0.2785 0.0114
19 1 49 34.3210 34. 363 0.2757 0.0089
20 1 53 30.8696 30.5917 0.2731 0.0049
21 1 57 27.4174 27.1470 0.2705 -0.0001
22 2 1 23.9650 23.7024 0.2680 -0.0053
23 2 5 20.5134 20.2578 0.2656 -0.0100
24 2 9 17. 632 16.8132 0.2632 -0.0132
25 2 13 13.6153 13.3685 0.2610 -0.0142
26 2 17 10.1698 9.9239 0.2588 -0.0129
27 2 21 6.7268 6.4793 0.2568 -0.0092
28 2 25 3.2855 3. 346 0.2548 -0.0039
29 2 28 59.8449 59.5900 0.2529 0.0020
30 2 32 56.4037 56.1454 0.2511 0.0072
Oct 31 2 36 52.9606 52.7007 0.2494 0.0104
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Nov 1 2 40 49.5149 49.2561 0.2478 0.0110
2 2 44 46. 666 45.8115 0.2463 0.0088
3 2 48 42.6161 42.3668 0.2450 0.0043
4 2 52 39.1649 38.9222 0.2437 -0.0010
5 2 56 35.7142 35.4776 0.2425 -0.0059
6 3 0 32.2655 32. 329 0.2414 -0.0088
7 3 4 28.8194 28.5883 0.2404 -0.0093
8 3 8 25.3760 25.1437 0.2395 -0.0072
9 3 12 21.9346 21.6991 0.2387 -0.0032
10 3 16 18.4941 18.2544 0.2381 0.0016
11 3 20 15. 535 14.8098 0.2375 0.0063
12 3 24 11.6120 11.3652 0.2370 0.0098
13 3 28 8.1689 7.9205 0.2367 0.0118
14 3 32 4.7240 4.4759 0.2364 0.0117
15 3 36 1.2773 1. 313 0.2362 0.0098
16 3 39 57.8291 57.5866 0.2362 0.0063
17 3 43 54.3797 54.1420 0.2362 0.0015
18 3 47 50.9300 50.6974 0.2363 -0.0038
19 3 51 47.4806 47.2527 0.2366 -0.0087
20 3 55 44. 325 43.8081 0.2369 -0.0125
21 3 59 40.5864 40.3635 0.2373 -0.0144
22 4 3 37.1430 36.9188 0.2379 -0.0137
23 4 7 33.7021 33.4742 0.2385 -0.0105
24 4 11 30.2635 30. 296 0.2392 -0.0053
25 4 15 26.8258 26.5850 0.2400 0.0009
26 4 19 23.3879 23.1403 0.2408 0.0067
27 4 23 19.9482 19.6957 0.2418 0.0107
28 4 27 16.5059 16.2511 0.2429 0.0120
29 4 31 13. 607 12.8064 0.2440 0.0103
Nov 30 4 35 9.6133 9.3618 0.2452 0.0063
Date Sidereal time Nutation
Real Mean in_alpha
h m s s s s
Dec 1 4 39 6.1647 5.9172 0.2465 0.0010
2 4 43 2.7162 2.4725 0.2478 -0.0041
3 4 46 59.2693 59. 279 0.2492 -0.0079
4 4 50 55.8247 55.5833 0.2507 -0.0093
5 4 54 52.3827 52.1386 0.2523 -0.0083
6 4 58 48.9428 48.6940 0.2539 -0.0051
7 5 2 45.5044 45.2494 0.2556 -0.0006
8 5 6 42. 663 41.8047 0.2573 0.0043
9 5 10 38.6276 38.3601 0.2591 0.0084
10 5 14 35.1874 34.9155 0.2609 0.0110
11 5 18 31.7454 31.4709 0.2628 0.0118
12 5 22 28.3015 28. 262 0.2647 0.0105
13 5 26 24.8558 24.5816 0.2667 0.0075
14 5 30 21.4087 21.1370 0.2687 0.0031
15 5 34 17.9609 17.6923 0.2707 -0.0021
16 5 38 14.5131 14.2477 0.2727 -0.0073
17 5 42 11. 662 10.8031 0.2748 -0.0117
18 5 46 7.6209 7.3584 0.2769 -0.0145
19 5 50 4.1779 3.9138 0.2790 -0.0149
20 5 54 0.7376 0.4692 0.2811 -0.0127
21 5 57 57.2997 57. 245 0.2833 -0.0081
22 6 1 53.8635 53.5799 0.2854 -0.0018
23 6 5 50.4276 50.1353 0.2875 0.0048
24 6 9 46.9902 46.6906 0.2897 0.0099
25 6 13 43.5503 43.2460 0.2918 0.0124
26 6 17 40.1071 39.8014 0.2939 0.0118
27 6 21 36.6611 36.3567 0.2960 0.0084
28 6 25 33.2135 32.9121 0.2981 0.0033
29 6 29 29.7656 29.4675 0.3002 -0.0020
30 6 33 26.3188 26. 229 0.3022 -0.0062
31 6 37 22.8741 22.5782 0.3042 -0.0084
Dec 32 6 41 19.4317 19.1336 0.3062 -0.0082
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