Catalog of Solar Eclipse Saros Series

Saros Series 169

The periodicity and recurrence of solar (and lunar) eclipses is governed by the Saros cycle, a period of approximately 6,585.3 days (18 years 11 days 8 hours). When two eclipses are separated by a period of one Saros, they share a very similar geometry. The two eclipses occur at the same node[1] with the Moon at nearly the same distance from Earth and at the same time of year. Thus, the Saros is useful for organizing eclipses into families or series. Each series typically lasts 12 to 13 centuries and contains 70 or more eclipses. Every saros series begins with a number of partial eclipses near one of Earth's polar regions. The series will then produce several dozen central[2] eclipses before ending with a group of partial eclipses near the opposite pole.

Solar eclipses of Saros 169 all occur at the Moon’s ascending node and the Moon moves southward with each eclipse. The series will begin with a partial eclipse in the northern hemisphere on 2333 Sep 10. The series will end with a partial eclipse in the southern hemisphere on 3595 Oct 16. The total duration of Saros series 169 is 1262.11 years. In summary:

                      First Eclipse =  2333 Sep 10   05:41:60 TD
                       Last Eclipse =  3595 Oct 16   18:28:32 TD

                      Duration of Saros 169  =  1262.11 Years

Saros 169 is composed of 71 solar eclipses as follows:

Solar Eclipses of Saros 169
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PartialP 27 38.0%
AnnularA 13 18.3%
TotalT 15 21.1%
Hybrid[3]H 16 22.5%

Umbral eclipses (annular, total and hybrid) can be further classified as either: 1) Central (two limits), 2) Central (one limit) or 3) Non-Central (one limit). The statistical distribution of these classes in Saros series 169 appears in the following table.

Umbral Eclipses of Saros 169
Classification Number Percent
All Umbral Eclipses 44100.0%
Central (two limits) 42 95.5%
Central (one limit) 1 2.3%
Non-Central (one limit) 1 2.3%

The following string illustrates the sequence of the 71 eclipses in Saros 169: 19P 13A 16H 15T 8P

The longest and shortest eclipses of Saros 169 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:    3397 Jun 17      Duration = 05m28s
         Shortest  Total  Solar Eclipse:    3199 Feb 17      Duration = 01m35s

          Longest Annular Solar Eclipse:    2676 Apr 05      Duration = 04m25s
         Shortest Annular Solar Eclipse:    2892 Aug 13      Duration = 00m08s

          Longest Hybrid  Solar Eclipse:    3181 Feb 06      Duration = 01m18s
         Shortest Hybrid  Solar Eclipse:    2910 Aug 26      Duration = 00m06s

          Largest Partial Solar Eclipse:    2658 Mar 26     Magnitude = 0.9002
         Smallest Partial Solar Eclipse:    3595 Oct 16     Magnitude = 0.0285

Local circumstances at greatest eclipse[4] for every eclipse of Saros 169 are presented in the following catalog. The sequence number in the first column links to a global map showing regions of eclipse visibility. A detailed key and additional information about the catalog can be found at: Key to Catalog of Solar Eclipse Saros Series.

For an animation showing how the eclipse path changes with each member of the series, see Saros 169 Animation.



Catalog of Solar Eclipse Saros 169

                          TD of
Seq. Rel.    Calendar   Greatest          Luna  Ecl.           Ecl.                Sun  Sun  Path Central
Num. Num.      Date      Eclipse     ΔT   Num.  Type  Gamma    Mag.   Lat.   Long. Alt  Azm Width   Dur.
                                      s                                 °      °     °    °   km

 01  -33   2333 Sep 10  05:42:00    823   4127   Pb   1.5299  0.0592  72.0N 157.1W   0  286             
 02  -32   2351 Sep 21  12:33:27    883   4350   P    1.4664  0.1680  72.2N  86.2E   0  273             
 03  -31   2369 Oct 01  19:33:31    945   4573   P    1.4094  0.2651  72.1N  32.7W   0  259             
 04  -30   2387 Oct 13  02:41:04   1009   4796   P    1.3579  0.3523  71.8N 153.3W   0  245             
 05  -29   2405 Oct 23  09:58:55   1076   5019   P    1.3142  0.4261  71.3N  83.8E   0  232             
 06  -28   2423 Nov 03  17:24:51   1144   5242   P    1.2769  0.4887  70.5N  40.5W   0  219             
 07  -27   2441 Nov 14  00:59:17   1214   5465   P    1.2459  0.5404  69.6N 166.3W   0  206             
 08  -26   2459 Nov 25  08:41:41   1287   5688   P    1.2211  0.5818  68.6N  66.5E   0  194             
 09  -25   2477 Dec 05  16:32:05   1362   5911   P    1.2019  0.6136  67.5N  62.0W   0  183             
 10  -24   2495 Dec 17  00:27:39   1438   6134   P    1.1867  0.6389  66.4N 168.8E   0  172             

 11  -23   2513 Dec 28  08:28:05   1517   6357   P    1.1748  0.6587  65.4N  38.8E   0  161             
 12  -22   2532 Jan 08  16:31:05   1598   6580   P    1.1645  0.6760  64.4N  91.4W   0  151             
 13  -21   2550 Jan 19  00:36:25   1681   6803   P    1.1554  0.6914  63.5N 138.2E   0  141             
 14  -20   2568 Jan 30  08:39:47   1766   7026   P    1.1442  0.7106  62.7N   8.6E   0  131             
 15  -19   2586 Feb 09  16:42:36   1853   7249   P    1.1318  0.7319  62.0N 120.6W   0  122             
 16  -18   2604 Feb 22  00:40:35   1942   7472   P    1.1150  0.7609  61.5N 111.5E   0  113             
 17  -17   2622 Mar 04  08:34:43   2033   7695   P    1.0946  0.7963  61.2N  15.3W   0  104             
 18  -16   2640 Mar 14  16:21:09   2127   7918   P    1.0672  0.8439  61.0N 140.1W   0   95             
 19  -15   2658 Mar 26  00:02:23   2222   8141   P    1.0350  0.9002  61.0N  96.4E   0   86             
 20  -14   2676 Apr 05  07:35:27   2319   8364   An   0.9952  0.9336  61.9N  17.3W   4   84   -   04m25s

 21  -13   2694 Apr 16  15:01:10   2419   8587   A    0.9489  0.9422  63.2N 105.8W  18  103  679  04m05s
 22  -12   2712 Apr 27  22:19:08   2521   8810   A    0.8956  0.9492  64.2N 156.8E  26  113  417  03m41s
 23  -11   2730 May 09  05:30:52   2624   9033   A    0.8363  0.9560  65.0N  60.6E  33  124  291  03m16s
 24  -10   2748 May 19  12:36:24   2730   9256   A    0.7709  0.9624  65.1N  33.2W  39  136  213  02m53s
 25  -09   2766 May 30  19:36:02   2838   9479   A    0.6996  0.9686  63.8N 125.4W  45  149  158  02m29s
 26  -08   2784 Jun 10  02:32:16   2948   9702   A    0.6245  0.9744  60.9N 141.7E  51  161  118  02m07s
 27  -07   2802 Jun 21  09:25:30   3060   9925   A    0.5461  0.9798  56.5N  46.9E  57  171   86  01m46s
 28  -06   2820 Jul 01  16:17:03   3174  10148   A    0.4652  0.9847  50.8N  50.3W  62  179   61  01m24s
 29  -05   2838 Jul 12  23:08:16   3290  10371   A    0.3828  0.9891  44.3N 149.7W  67  184   42  01m03s
 30  -04   2856 Jul 23  06:01:10   3408  10594   A    0.3009  0.9929  37.2N 108.7E  72  188   26  00m43s

 31  -03   2874 Aug 03  12:56:53   3528  10817   A    0.2203  0.9961  29.7N   5.1E  77  191   14  00m24s
 32  -02   2892 Aug 13  19:55:10   3650  11040   A    0.1410  0.9988  21.9N 100.0W  82  194    4  00m08s
 33  -01   2910 Aug 26  02:59:33   3775  11263   H    0.0660  1.0009  14.0N 152.8E  86  195    3  00m06s
 34   00   2928 Sep 05  10:09:23   3901  11486   H   -0.0052  1.0024   6.1N  43.8E  90   19    8  00m16s
 35   01   2946 Sep 16  17:27:21   4030  11709   H   -0.0706  1.0036   1.6S  67.3W  86   17   12  00m23s
 36   02   2964 Sep 27  00:52:08   4160  11932   Hm  -0.1310  1.0043   9.2S 179.9E  82   18   15  00m27s
 37   03   2982 Oct 08  08:26:58   4293  12155   H   -0.1838  1.0047  16.4S  65.0E  79   17   17  00m29s
 38   04   3000 Oct 19  16:10:16   4428  12378   H   -0.2303  1.0049  23.1S  51.6W  77   16   17  00m29s
 39   05   3018 Oct 31  00:02:35   4564  12601   H   -0.2700  1.0050  29.2S 169.8W  74   15   18  00m29s
 40   06   3036 Nov 10  08:04:14   4703  12824   H   -0.3029  1.0050  34.6S  70.6E  72   12   18  00m28s


Catalog of Solar Eclipse Saros 169

                          TD of
Seq. Rel.    Calendar   Greatest          Luna  Ecl.           Ecl.                Sun  Sun  Path Central
Num. Num.      Date      Eclipse     ΔT   Num.  Type  Gamma    Mag.   Lat.   Long. Alt  Azm Width   Dur.
                                      s                                 °      °     °    °   km

 41   07   3054 Nov 21  16:14:51   4844  13047   H   -0.3292  1.0052  39.1S  50.2W  71    8   19  00m29s
 42   08   3072 Dec 02  00:34:04   4987  13270   H   -0.3490  1.0055  42.5S 172.0W  69    3   20  00m30s
 43   09   3090 Dec 13  08:59:13   5132  13493   H   -0.3647  1.0062  44.6S  65.6E  68  358   23  00m32s
 44   10   3108 Dec 24  17:32:05   5280  13716   H   -0.3747  1.0071  45.3S  58.1W  68  351   27  00m37s
 45   11   3127 Jan 05  02:09:01   5429  13939   H   -0.3824  1.0086  44.8S 177.1E  67  345   32  00m44s
 46   12   3145 Jan 15  10:49:51   5580  14162   H   -0.3872  1.0105  43.0S  50.8E  67  340   39  00m53s
 47   13   3163 Jan 26  19:31:05   5733  14385   H   -0.3923  1.0129  40.3S  76.4W  67  335   48  01m04s
 48   14   3181 Feb 06  04:13:46   5889  14608   H2  -0.3968  1.0158  37.0S 155.3E  66  332   59  01m18s
 49   15   3199 Feb 17  12:54:11   6046  14831   T   -0.4039  1.0192  33.3S  26.7E  66  330   71  01m35s
 50   16   3217 Feb 27  21:32:10   6206  15054   T   -0.4135  1.0230  29.5S 101.8W  65  328   85  01m54s

 51   17   3235 Mar 11  06:05:34   6368  15277   T   -0.4275  1.0272  25.9S 130.4E  65  328  101  02m15s
 52   18   3253 Mar 21  14:34:33   6531  15500   T   -0.4454  1.0316  22.5S   3.5E  63  329  118  02m38s
 53   19   3271 Apr 01  22:56:37   6697  15723   T   -0.4697  1.0363  19.8S 121.7W  62  330  137  03m04s
 54   20   3289 Apr 12  07:12:48   6865  15946   T   -0.4995  1.0410  17.7S 114.4E  60  332  156  03m30s
 55   21   3307 Apr 24  15:21:41   7035  16169   T   -0.5358  1.0457  16.7S   7.7W  57  334  178  03m58s
 56   22   3325 May 04  23:25:06   7207  16392   T   -0.5774  1.0501  16.6S 128.5W  55  338  201  04m26s
 57   23   3343 May 16  07:20:08   7381  16615   T   -0.6263  1.0542  17.8S 112.7E  51  341  228  04m51s
 58   24   3361 May 26  15:10:43   7557  16838   T   -0.6793  1.0578  20.3S   5.3W  47  345  258  05m12s
 59   25   3379 Jun 06  22:54:10   7736  17061   T   -0.7386  1.0608  24.3S 122.0W  42  349  295  05m25s
 60   26   3397 Jun 17  06:34:43   7916  17284   T   -0.8009  1.0630  29.9S 121.4E  37  353  345  05m28s

 61   27   3415 Jun 29  14:08:58   8098  17507   T   -0.8684  1.0641  37.5S   5.4E  29  358  425  05m17s
 62   28   3433 Jul 09  21:42:46   8283  17730   T   -0.9367  1.0637  48.0S 112.2W  20    3  605  04m50s
 63   29   3451 Jul 21  05:12:54   8469  17953   T-  -1.0077  1.0088  68.9S 121.7E   0   17   -     -   
 64   30   3469 Jul 31  12:43:56   8658  18176   P   -1.0783  0.8723  69.8S   2.2W   0   28             
 65   31   3487 Aug 11  20:13:46   8849  18399   P   -1.1498  0.7335  70.7S 126.3W   0   40             
 66   32   3505 Aug 23  03:46:55   9041  18622   P   -1.2186  0.5999  71.3S 108.1E   0   53             
 67   33   3523 Sep 03  11:21:40   9236  18845   P   -1.2858  0.4695  71.8S  18.3W   0   66             
 68   34   3541 Sep 13  19:00:20   9433  19068   P   -1.3498  0.3455  72.1S 146.0W   0   79             
 69   35   3559 Sep 25  02:43:37   9632  19291   P   -1.4099  0.2297  72.2S  84.9E   0   93             
 70   36   3577 Oct 05  10:32:49   9833  19514   P   -1.4652  0.1237  72.0S  45.6W   0  107             

 71   37   3595 Oct 16  18:28:32  10036  19737   Pe  -1.5153  0.0285  71.6S 177.4W   0  120             


Footnotes

[1] The Moon's orbit is inclined about 5 degrees to Earth's orbit around the Sun. The points where the lunar orbit intersects the plane of Earth's orbit are known as the nodes. The Moon moves from south to north of Earth's orbit at the ascending node, and from north to south at the descending node.

[2]Central solar eclipses are eclipses in which the central axis of the Moon's shadow strikes the Earth's surface. All partial (penumbral) eclipses are non-central eclipses since the shadow axis misses Earth. However, umbral eclipses (total, annular and hybrid) may be either central (usually) or non-central (rarely).

[3]Hybrid eclipses are also known as annular/total eclipses. Such an eclipse is both total and annular along different sections of its umbral path. For more information, see Five Millennium Catalog of Hybrid Solar Eclipses .

[4]Greatest eclipse is defined as the instant when the axis of the Moon's shadow passes closest to the Earth's center. For total eclipses, the instant of greatest eclipse is virtually identical to the instants of greatest magnitude and greatest duration. However, for annular eclipses, the instant of greatest duration may occur at either the time of greatest eclipse or near the sunrise and sunset points of the eclipse path.


Calendar

The Gregorian calendar is used for all dates from 1582 Oct 15 onwards. Before that date, the Julian calendar is used. For more information on this topic, see Calendar Dates. The Julian calendar does not include the year 0. Thus the year 1 BCE is followed by the year 1 CE (See: BCE/CE Dating Conventions ). This is awkward for arithmetic calculations. Years in this catalog are numbered astronomically and include the year 0. Historians should note there is a difference of one year between astronomical dates and BCE dates. Thus, the astronomical year 0 corresponds to 1 BCE, and astronomical year -1 corresponds to 2 BCE, etc..


Predictions

The coordinates of the Sun used in these predictions are based on the VSOP87 theory [Bretagnon and Francou, 1988]. The Moon's coordinates are based on the ELP-2000/82 theory [Chapront-Touze and Chapront, 1983]. For more information, see: Solar and Lunar Ephemerides. The revised value used for the Moon's secular acceleration is n-dot = -25.858 arc-sec/cy*cy, as deduced from the Apollo lunar laser ranging experiment (Chapront, Chapront-Touze, and Francou, 2002).

The largest uncertainty in the eclipse predictions is caused by fluctuations in Earth's rotation due primarily to tidal friction of the Moon. The resultant drift in apparent clock time is expressed as ΔT and is determined as follows:

  1. pre-1950's: ΔT calculated from empirical fits to historical records derived by Morrison and Stephenson (2004)
  2. 1955-present: ΔT obtained from published observations
  3. future: ΔT is extrapolated from current values weighted by the long term trend from tidal effects

A series of polynomial expressions have been derived to simplify the evaluation of ΔT for any time from -1999 to +3000. The uncertainty in ΔT over this period can be estimated from scatter in the measurements.


Acknowledgments

Special thanks to Dan McGlaun for extracting the individual eclipse maps from the Five Millennium Canon of Solar Eclipses: -1999 to +3000 for use in this catalog and for preparing the Saros series animations from these maps.

The Besselian elements used in the predictions were kindly provided by Jean Meeus. All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy. Some of the information presented on this web site is based on data originally published in Five Millennium Canon of Solar Eclipses: -1999 to +3000

Permission is freely granted to reproduce this data when accompanied by an acknowledgment:

"Eclipse Predictions by Fred Espenak and Jean Meeus (NASA's GSFC)"


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2008 Mar 21