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Appendix II
Calculating the major azimuth standstill values around 2005-2007
Below ten major azimuth standstill closest to the major azimuth
standstill
limit are determine in 2005-2007 for four locations. The data is gotten
from JPL, so one has to correct the
azimuth's
for having the events at the same apparent altitude (using linear
interpolation
for more details e-mail
me). This correction is done in all the below tables (value
corrected
azimuth is last column).
The bold row is the date which is the real azimuth
standstill
limit for that location (using JPL and linear interpolation).
The red dates are dates mentioned by
Meeus
([1997], table 5A) as major (declination)
standstill
limits.
The below columns mean:
Date and time [UTC], C(ivil)/N(autical)/A(stronomical)twilight/*=sun
above horizon, r(ise)/s(et), azimuth, apparent altitude, moon phase
(full=100%),
corrected azimuth (not corrected for shape
of moon).
The southern major azimuth standstill limit (rise times)
Maeshowe
2006-Sep-02 17:56 * r 158.5924 -0.3359 68.7 158.7390958
2006-Sep-29 15:46 * r 158.6049 -0.3243 41.9 158.7006886
2006-Feb-23 06:17 N r 158.5474 -0.3211 29.4 158.6291452
2006-Apr-19 03:00 A r 158.4217 -0.3349 71.5 158.5640072
2005-Oct-09 15:27 * r 158.335 -0.3312 37.5 158.4610696
2007-Feb-13 06:48 N r 158.0284 -0.3379 22.7 158.1838729
2006-May-16 00:52 N r 158.0089 -0.3195 91.3 158.0836235
2006-Mar-23 05:04 N r 157.9443
-0.3145 45.5 157.9970808
2005-Sep-12 17:32 * r 157.8383 -0.3357 64.1 157.9841181
2006-Jul-09 21:25 C r 157.69 -0.3418 97.8
157.8625882
Callanish I
2006-Sep-02 17:56 * r 155.5437 -0.3289 68.7 155.6421662
2006-Sep-29 15:46 * r 155.5564 -0.3169 41.9 155.6022036
2006-Feb-23 06:17 N r 155.4976 -0.3154 29.4 155.5368208
2006-Apr-19 03:00 A r 155.3732 -0.3329 71.5 155.4892204
2005-Oct-09 15:27 * r 155.2859 -0.3318 37.6 155.397093
2007-Feb-13 06:49 N r 155.1851 -0.3031 22.7 155.1703416
2006-May-16 00:52 A r 154.96 -0.3296 91.3
155.0615382
2005-Sep-12 17:32 * r 154.7893 -0.3509 64.1 154.9843144
2006-Mar-23 05:04 N r 154.8948
-0.3265 45.4 154.9827337
2006-Jul-09 21:26 * r 154.8453 -0.3164 97.8 154.8889093
Mound A, Boyne Valley
2006-Sep-29 14:46 * r 143.792 -0.4491 41.6
144.0266187
2006-Sep-02 16:57 * r 144.0032 -0.3978 68.4 144.0126859
2006-Apr-19 02:01 r 143.8337 -0.4297 71.8
143.9831807
2006-Feb-23 05:17 r 143.7646 -0.4439 29.7
143.9763982
2005-Oct-09 14:28 * r 143.7518 -0.4205 37.2 143.8609061
2005-Sep-12 16:34 * r 143.4782 -0.4531 63.8 143.7303729
2006-Mar-23 04:06
r 143.569 -0.4292 45.8 143.7162865
2007-Feb-13 05:50 r 143.6238 -0.4156
23
143.7114022
2006-May-15 23:54 A r 143.6127 -0.3841 91.4 143.5620628
2006-Aug-05 18:09 * r 143.2611 -0.4558 82.6 143.525122
Knocknarea
2006-Sep-02 17:14 * r 145.6262 -0.1871 68.5 145.7377054
2006-Apr-19 02:18 r 145.4566 -0.2103 71.7
145.6699198
2006-Sep-29 15:04 * r 145.6178 -0.1639 41.7 145.627491
2006-Feb-23 05:35 r 145.5805 -0.1622 29.6
145.5827305
2005-Oct-09 14:45 * r 145.3732 -0.2063 37.3 145.5689656
2007-Feb-13 06:07 A r 145.2527 -0.1967 22.9 145.4063355
2006-Mar-23 04:23
r 145.1872 -0.2007 45.6 145.3583897
2006-May-16 00:11 A r 145.2381 -0.1737 91.4 145.2907988
2005-Sep-12 16:52 * r 145.2875 -0.1576 63.9 145.2695431
2006-Jul-09 20:45 * r 145.1364 -0.1781 97.7 145.2084084
Chimney Rock
2006-Sep-29 19:59 r 125.6342 -1.8522 44.1 125.7181944
2006-Feb-23 10:31 r 125.5864 -1.8443 27.2 125.6624944
2006-Mar-22 08:21 r 125.6329 -1.7244 54.4 125.5890944
2005-Oct-09 19:42 r 125.5569 -1.7849 39.9 125.5735944
2006-Sep-02 22:10 r 125.6131 -1.7082 70.9 125.5530944
2006-Aug-05 23:25 r 125.5315 -1.7612 84.6 125.5244944
2006-Apr-19 07:14 r 125.4864 -1.7954 69.4 125.5135944
2006-May-16 05:08 r 125.4784 -1.7835 89.9 125.4936944
2007-Feb-13 11:04 r 125.5502 -1.71 20.8
125.4919944
2007-Mar-12 08:51 r 125.492 -1.7333 47.4 125.4570944
2006-Mar-23
Point Lookout
2006-Sep-30 00:10 * r 122.8674
-0.4948
46 122.9583888
2006-Feb-23 14:43 r
122.7718
-0.5368 25.4 122.92006
2006-Mar-22 12:32 r
122.8476
-0.4719 52.4 122.9073623
2007-Mar-12 13:02 r
122.7536
-0.4869 45.6 122.8338163
2005-Oct-09 23:54 * r 122.6731 -0.5333
41.9 122.8165874
2006-Oct-26 22:05 * r 122.7296 -0.4903
21.1 122.8144526
2005-Nov-05 21:48 * r 122.6741 -0.5226
17.6 122.8029968
2006-Aug-06 03:37 * r 122.7259 -0.4779
86.1 122.7938439
2006-Apr-18 10:27 r
122.5983
-0.513 77.6 122.7141063
2006-Jun-12 07:10 C r 122.5329 -0.4644
99.4 122.5824353
2006-Mar-23
The southern major azimuth standstill limit (set times)
Maeshowe
2005-Nov-05 16:51 C s 202.2552 -0.3456 15.3 202.4047005
2006-May-16 04:23 * s 202.1501 -0.3629 90.6 202.2295115
2007-Feb-13 10:18 * s 202.0171 -0.3396 21.8 202.1909088
2006-Aug-05 22:40 N s 202.2072 -0.3878 83.7 202.1857319
2006-Apr-19 06:28 * s 201.9296 -0.346 70.4 202.0774799
2006-Mar-22 07:34 * s 201.8624
-0.3501 55.5 201.9936693
2006-Sep-02 21:23 A s 201.869 -0.3686 69.8 201.9253185
2005-Oct-09 18:55 A s 201.794 -0.3516 38.7 201.9191922
2006-Feb-23 09:43 * s 201.5616 -0.3591 28.3 201.6564067
2006-Sep-29 19:11 N s 201.5198 -0.3777 43
201.5392509
Callanish I
2005-Nov-05 17:21 N s 205.3423 -0.3841 15.4 205.3756204
2007-Feb-13 10:48 * s 205.1226 -0.361 21.6 205.2495075
2006-May-16 04:53 * s 205.2453 -0.3924 90.5 205.2449938
2006-Apr-19 06:58 * s 205.0306 -0.356 70.3 205.1777644
2006-Aug-05 23:09 A s 205.0935 -0.3738 83.9 205.1685497
2006-Sep-02 21:53 A s 204.9676 -0.3771 70
205.0292801
2005-Oct-09 19:25 A s 204.8857 -0.364 38.9 205.0004533
2006-Mar-22 08:04 * s 204.9585
-0.3839 55.3 204.9926307
2006-Feb-23 10:13 * s 204.6497 -0.3662 28.1 204.7555403
2006-Sep-29 19:41 A s 204.6245 -0.3901 43.2 204.633512
Mound A, Boyne Valley
2005-Nov-05 18:17 A s 216.6804 -0.5153 15.6 216.6600797
2006-Apr-19 07:55 * s 216.5992 -0.4962 70
216.6562613
2006-May-16 05:49 * s 216.6002 -0.4983 90.3 216.6487534
2006-Aug-06 00:05 s 216.4426 -0.4712 84.1
216.600946
2007-Feb-13 11:45 * s 216.693 -0.5348 21.4 216.5936776
2006-Sep-02 22:50 s 216.5309 -0.5052 70.3
216.5514988
2005-Oct-09 20:22 s 216.4369 -0.4903 39.2
216.5178645
2006-Mar-22 09:00 * s 216.3134
-0.474 55 216.4604021
2006-Feb-23 11:11 * s 216.3894 -0.5433 27.8 216.2556408
2006-Sep-29 20:38 s 216.1951 -0.4975 43.5
216.2468945
Knocknarea
2005-Nov-05 18:17 A s 215.0037 -0.2556 15.6 215.0052699
2006-Apr-19 07:55 * s 214.9224 -0.2413 70
214.9819048
2006-May-16 05:49 * s 214.9235 -0.243 90.3 214.9761174
2007-Feb-13 11:45 * s 215.0174 -0.2715 21.4 214.9545528
2006-Aug-06 00:05 s 214.7652 -0.2236 84.1
214.8964144
2006-Sep-02 22:50 s 214.8543 -0.25
70.3 214.8785577
2005-Oct-09 20:22 s 214.7597 -0.2395 39.2
214.8264973
2006-Mar-22 09:00 * s 214.6363
-0.2283 55 214.7484729
2006-Feb-23 11:10 * s 214.5186 -0.2185 27.8 214.6704765
2006-Sep-29 20:38 s 214.5188 -0.25
43.5 214.5430577
Chimney Rock
2006-Jan-26 21:14 s 234.6648 -1.8813 11
234.7255714
2005-Nov-06 03:03 s 234.6605 -1.8786 18.5 234.7239714
2005-Sep-12 06:15 s 234.734 -2.0098 58.1 234.6662714
2006-Aug-06 08:52 s 234.631 -1.9483 86.8 234.6247714
2006-Oct-27 03:19 s 234.5768 -1.903 21.9 234.6158714
2007-Mar-12 18:16 s 234.585 -1.9194 44.7 234.6076714
2006-Apr-18 15:41 s 234.5554 -1.9052 76.6 234.5922714
2006-Sep-30 05:25 s 234.6317 -1.9853 47
234.5884714
2006-Sep-02 06:36 s 234.4994 -1.9045 63.2 234.5369714
2006-Mar-22 17:46 s 234.3708
-1.8935 51.4 234.4193714
Point Lookout
2006-Mar-22 02:22 * s 237.3578
-0.6738 58.4 237.2967309
2005-Sep-12 15:50 s 237.2672 -0.6483 62.5
237.2409027
2006-Sep-29 14:01 s 237.1394 -0.5561 40.2
237.2388266
2005-Oct-09 13:43 s 237.1859 -0.6293 35.9
237.1855111
2006-Jul-09 19:44 N s 237.2743 -0.7041 97.4 237.1719138
2006-Feb-23 04:32 * s 237.167 -0.6278 31
237.1686565
2006-Sep-02 16:11 s 237.0907 -0.5774 67.2
237.1610819
2006-Mar-23 03:22 * s 237.195 -0.6728 47.1 237.1352945
2007-Feb-13 05:06 * s 237.1782 -0.6703 24.1 237.1219035
2006-Apr-19 01:16 * s 237.1004 -0.6276 73
237.1023292
The northern major azimuth standstill limit (rise times)
Maeshowe
2005-Sep-15
2006-Feb-08 10:26 * r 22.0531 -0.3167 80.4 22.11553558
2005-Aug-28 21:31 A r 22.0652 -0.3112 28.4 22.10349854
2006-Nov-08 16:34 C r 21.8873 -0.3433 87
22.06647107
2006-Oct-12 18:49 A r 21.7876 -0.3394 62.5 21.94965572
2007-Mar-25 07:37 * r 21.6621 -0.34 45.5
21.82678885
2005-Oct-22 18:04 N r 21.5653 -0.3278 71.5 21.67644851
2006-Mar-08 09:13 * r 21.6048 -0.3051 65.6 21.61632837
2006-Aug-18 22:05 A r 21.4026 -0.3128 21.5 21.44792023
2006-Sep-14 19:59 N r
21.299
-0.3022 46.1 21.29780157
2006-Apr-04 07:01 * r 20.9498 -0.3285 38.3 21.0640205
Callanish I
2005-Sep-15
2005-Aug-28 22:00 A r 24.988 -0.3246 28.2 25.06759544
2006-Nov-08 17:04 C r 24.9815 -0.3246 86.8 25.06109544
2006-Feb-08 10:55 * r 24.9675 -0.3262 80.6 25.05411713
2006-Oct-12 19:19 A r 24.899 -0.3341 62.3 25.02028669
2007-Mar-25 08:07 * r 24.7619 -0.3313 45.8 24.87089874
2005-Oct-22 18:34 A r 24.6888 -0.3179 71.3 24.73899214
2006-Mar-08 09:43 * r 24.7303 -0.2999 65.8 24.7014982
2006-Aug-18 22:35 A r 24.517 -0.3089 21.3 24.52769517
2006-Sep-14 20:28 A r 24.2007
-0.3373 45.9 24.33603006
2006-Apr-04 07:31 * r 24.0645 -0.3349 38.5 24.18929753
Mound A, Boyne Valley
2005-Sep-15
2006-Nov-08 17:58 N r 35.9574 -0.4163 86.4 36.04807415
2006-Oct-12 20:14 r 36.1076 -0.3743 61.8
36.01395495
2005-Aug-28 22:54 r 36.0282 -0.3897 27.7
36.00213866
2006-Feb-08 11:49 * r 35.99 -0.3876
81
35.9547227
2005-Oct-22 19:28 r 35.723 -0.4421 70.8
35.92689879
2006-Mar-08 10:37 * r 35.7683 -0.4263 66.3 35.90285967
2007-Mar-25 09:02 * r 35.9467 -0.3797 46.3 35.87675313
2006-Aug-18 23:30 r 35.7298 -0.3796 20.9
35.65941428
2006-Sep-14 21:23
r 35.4045 -0.4469 45.4 35.62946385
2006-Apr-04 08:27 * r 35.4795 -0.3898 39
35.45387751
Knocknarea
2005-Sep-15
2005-Sep-24 20:53 r 35.6464 -0.1678 53.8
35.67320636
2006-Feb-08 11:55 * r 35.4811 -0.1986 81
35.64307377
2006-Nov-08 18:05 N r 35.6387 -0.1576 86.4 35.62074313
2005-Aug-28 23:01 r 35.7164 -0.1335 27.7
35.59267902
2007-Mar-25 09:08 * r 35.4351 -0.1952 46.3 35.58215269
2005-Oct-22 19:35 r 35.41 -0.1763
70.8 35.47410905
2006-Mar-08 10:44 * r 35.4564 -0.1648 66.3 35.4700407
2006-Aug-18 23:36 r 35.2206 -0.1923 20.9
35.35492589
2006-Sep-14 21:30
r 35.0879 -0.177 45.3 35.15508104
2006-Apr-04 08:33 * r 34.97 -0.1978
39
35.12846293
Chimney Rock
2005-Nov-19 01:44 r 51.776 -1.801 89.9 51.80879441
2007-Jan-29 20:44 r 51.8071 -1.7625 88.4 51.80139441
2007-Feb-25 18:38 r 51.6382 -1.8339 66.2 51.70389441
2006-Feb-08 20:16 r 51.7288 -1.7221 83.8 51.68269441
2005-Sep-25 05:13 r 51.6928 -1.7019 50.2 51.62649441
2006-Apr-04 16:56 r 51.5872 -1.8066 42.8 51.62559441
2006-May-01 14:43 r 51.5993 -1.7931 17.6 51.62419441
2006-Oct-12 03:43 r 51.5972 -1.7708 68.5 51.59979441
2006-Mar-07 18:10 r 51.5516 -1.7711 59.9 51.55449441
2006-Sep-15 05:53 r 51.5361
-1.7323 41.4 51.50019441
Point Lookout
2005-Sep-15
2007-Feb-26 04:30 * r 57.5202 -0.4884 70.4 57.60246172
2006-Nov-08 11:19 r 57.5942 -0.4336 88.1
57.60173644
2006-Oct-12 13:35 r 57.4481 -0.5266 64.2
57.58245124
2006-Jul-22 18:58 r 57.5622 -0.3988 5.7
57.52228316
2005-Oct-22 12:52 r 57.4836 -0.4247 72.9
57.4790004
2006-Mar-08 04:01 * r 57.383 -0.4456 63.9 57.40689964
2006-May-02 00:35 * r 57.4941 -0.3575 21.1 57.39786648
2006-Sep-14 14:48 r 57.4417 -0.3589 47.8
57.34737552
2006-Apr-04 01:52 * r 57.3423 -0.3893 36.7 57.28942896
2006-Aug-18 16:54 r 57.3603 -0.3471
23
57.24988504
The northern major azimuth standstill limit (set times)
Maeshowe
2006-Apr-04 03:41 A s 339.0454 -0.3464 36.5 339.1916594
2006-Mar-08 05:50 N s 338.9868 -0.3608 63.9 339.0747194
2006-Aug-18 18:42 * s 338.8536 -0.3555 23
338.9629917
2006-Oct-12 15:23 * s 338.6385 -0.3509 64.3 338.7665281
2006-Sep-14 16:35 * s 338.5806
-0.3396 48 338.7544088
2005-Oct-22 14:39 * s 338.5225 -0.3354 73.1 338.7133247
2007-Mar-25 04:10 A s 338.3636 -0.3443 43.6 338.5183673
2007-Feb-26 06:16 N s 338.2028 -0.3403 70.3 338.3737729
2005-Sep-25 16:48 * s 338.1913 -0.3647 46.2 338.263419
2006-May-29 00:06 N s 338.1868 -0.3777 3.8 338.2062509
2005-Sep-15
Callanish I
2006-Apr-04 03:41 A s 335.9941 -0.3694 36.5 336.0869758
2006-Mar-08 05:50 N s 335.9344 -0.3831 63.9 335.9717718
2006-Aug-18 18:42 * s 335.802 -0.3731 23.1 335.8798857
2006-Oct-12 15:23 * s 335.5878 -0.3604 64.4 335.7171383
2006-Sep-14 16:35 * s 335.5302
-0.3462 48 335.7170681
2005-Oct-22 14:39 * s 335.4715 -0.3404 73.1 335.6818661
2007-Mar-25 04:11 A s 335.5179 -0.3953 43.6 335.5058448
2007-Feb-26 06:17 N s 335.357 -0.3855 70.3 335.3846484
2005-Sep-25 16:48 * s 335.139 -0.3589 46.2 335.2744154
2006-May-02 02:20 A s 335.0698 -0.3543 20.9 335.2238518
2005-Sep-15
Mound A, Boyne Valley
2006-Apr-04 02:43 s 324.5945 -0.4583
36
324.805109
2006-Mar-08 04:53 s 324.7194 -0.516 63.4
324.6962438
2006-Aug-18 17:45 * s 324.6015 -0.5079 23.5 324.61116
2006-Sep-14 15:38 * s 324.3394 -0.4619 48.6 324.535424
2006-Oct-12 14:27 * s 324.6089 -0.5329 64.9 324.5172753
2005-Oct-22 13:43 * s 324.4594 -0.498 73.5 324.5091688
2007-Mar-25 03:14 s 324.348 -0.5003
43
324.3884506
2007-Feb-26 05:21 s 324.3776 -0.5228 69.8
324.3268943
2005-Sep-25 15:53 * s 324.3177 -0.5255 46.7 324.2560556
2006-May-02 01:25 s 324.2816 -0.5204 20.5
324.2406177
2005-Sep-15
Knocknarea
2006-Apr-04 02:54 s 325.0589 -0.2359 36.1
325.1402823
2006-Mar-08 05:03 s 324.9903 -0.2204 63.5
325.1344788
2006-Aug-18 17:55 * s 324.8706 -0.2113 23.4 325.0516465
2006-Oct-12 14:37 * s 324.8744 -0.2338 64.8 324.9642902
2005-Oct-22 13:53 * s 324.7309 -0.2052 73.5 324.93666
2006-Sep-14 15:49 * s 324.8029 -0.2385 48.5 324.8737487
2007-Feb-26 05:31 s 324.643 -0.2271 69.9
324.7600345
2007-Mar-25 03:25 s 324.8068 -0.2719 43.1
324.7423323
2005-Sep-25 16:03 * s 324.5901 -0.2329 46.6 324.6836365
2006-May-02 01:35 s 324.5486 -0.2276 20.6
324.6636088
2005-Sep-15
Chimney Rock
2006-Apr-04 08:13 s 308.7442 -1.9825
38 308.7037714
2006-Sep-14 21:09 s 308.6721 -1.9446
46.4 308.6695714
2006-Aug-18 23:14 s 308.5498 -1.9103
21.8 308.5815714
2006-Mar-08 10:21 s 308.5067 -1.9475
65.3 308.5012714
2005-Oct-22 19:12 s 308.4739 -1.9153
71.7 308.5006714
2007-Mar-25 08:45 s 308.5124 -1.9856
45.3 308.4688714
2006-Nov-08 17:40 s 308.3383 -1.8664
87.1 308.4139714
2006-Feb-08 11:31 s 308.3188 -1.8485
80.2 308.4123714
2006-Oct-12 19:56 s 308.4156 -1.9662
62.8 308.3914714
2005-Aug-28 22:36 s 308.3202 -1.8715
28.7 308.3907714
2005-Sep-15
Point Lookout
2006-Apr-04 12:05 s
302.5731 -0.5554 39.5 302.6734811
2006-Sep-15
01:02 * s 302.5593 -0.6531 44.8 302.5264574
2006-Feb-08 15:25 s
302.4022
-0.5463 81.3 302.5149899
2006-Nov-08 21:35 * s 302.3755 -0.5726
85.9 302.4524272
2005-Nov-18 20:53 * s 302.3163 -0.5358
91.7 302.4434077
2006-May-01 09:52 s
302.395
-0.6067 15.1 302.4254284
2007-Apr-21 10:26 s
302.3054
-0.5452 20.8 302.4196898
2007-Mar-25 12:39 s
302.3553
-0.5942 46.9 302.4027734
2005-Aug-29 02:30 * s 302.2936 -0.5618
27.4 302.3852541
2007-Jan-29 15:52 s
302.3319
-0.5952 86 302.3780098
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Major content related changes: Jan. 22, 2003