Catalog of Solar Eclipse Saros Series

Saros Series 56

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 56 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series began with a partial eclipse in the southern hemisphere on -1172 Jul 17. The series ended with a partial eclipse in the northern hemisphere on 0144 Sep 15. The total duration of Saros series 56 is 1316.20 years. In summary:

                      First Eclipse = -1172 Jul 17   20:10:38 TD
                       Last Eclipse =  0144 Sep 15   04:08:10 TD

                      Duration of Saros  56  =  1316.20 Years

Saros 56 is composed of 74 solar eclipses as follows:

Solar Eclipses of Saros 56
Eclipse Type Symbol Number Percent
All Eclipses - 74100.0%
PartialP 31 41.9%
AnnularA 13 17.6%
TotalT 15 20.3%
Hybrid[3]H 15 20.3%

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 56 appears in the following table.

Umbral Eclipses of Saros 56
Classification Number Percent
All Umbral Eclipses 43100.0%
Central (two limits) 43100.0%
Central (one limit) 0 0.0%
Non-Central (one limit) 0 0.0%

The following string illustrates the sequence of the 74 eclipses in Saros 56: 21P 13A 15H 15T 10P

The longest and shortest eclipses of Saros 56 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:   -0126 Apr 06      Duration = 04m48s
         Shortest  Total  Solar Eclipse:   -0289 Dec 30      Duration = 02m04s

          Longest Annular Solar Eclipse:   -0793 Mar 02      Duration = 04m06s
         Shortest Annular Solar Eclipse:   -0577 Jul 09      Duration = 00m04s

          Longest Hybrid  Solar Eclipse:   -0307 Dec 18      Duration = 01m38s
         Shortest Hybrid  Solar Eclipse:   -0559 Jul 20      Duration = 00m04s

          Largest Partial Solar Eclipse:   -0018 Jun 10     Magnitude = 0.9954
         Smallest Partial Solar Eclipse:    0144 Sep 15     Magnitude = 0.0176

Local circumstances at greatest eclipse[4] for every eclipse of Saros 56 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 056 Animation.



Catalog of Solar Eclipse Saros 56

                          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  -34  -1172 Jul 17  20:10:38  27595 -39226   Pb  -1.5509  0.0224  64.4S  34.6W   0   24             
 02  -33  -1154 Jul 29  02:53:30  27263 -39003   P   -1.4854  0.1352  63.5S 146.4W   0   34             
 03  -32  -1136 Aug 08  09:44:32  26933 -38780   P   -1.4262  0.2368  62.7S 100.1E   0   43             
 04  -31  -1118 Aug 19  16:44:36  26605 -38557   P   -1.3738  0.3261  62.0S  15.4W   0   53             
 05  -30  -1100 Aug 29  23:52:26  26279 -38334   P   -1.3272  0.4050  61.4S 132.6W   0   62             
 06  -29  -1082 Sep 10  07:10:58  25955 -38111   P   -1.2889  0.4693  60.9S 107.6E   0   71             
 07  -28  -1064 Sep 20  14:38:06  25633 -37888   P   -1.2574  0.5219  60.6S  14.2W   0   80             
 08  -27  -1046 Oct 01  22:15:12  25314 -37665   P   -1.2334  0.5618  60.5S 138.4W   0   89             
 09  -26  -1028 Oct 12  05:58:51  24996 -37442   P   -1.2144  0.5932  60.6S  95.7E   0   98             
 10  -25  -1010 Oct 23  13:51:12  24680 -37219   P   -1.2020  0.6136  60.8S  32.3W   0  107             

 11  -24  -0992 Nov 02  21:47:52  24366 -36996   P   -1.1926  0.6291  61.2S 161.5W   0  116             
 12  -23  -0974 Nov 14  05:49:08  24054 -36773   P   -1.1868  0.6387  61.8S  68.1E   0  126             
 13  -22  -0956 Nov 24  13:51:36  23744 -36550   P   -1.1814  0.6476  62.5S  62.8W   0  135             
 14  -21  -0938 Dec 05  21:55:18  23436 -36327   P   -1.1767  0.6555  63.4S 165.7E   0  145             
 15  -20  -0920 Dec 16  05:56:25  23130 -36104   P   -1.1695  0.6678  64.3S  34.6E   0  155             
 16  -19  -0902 Dec 27  13:54:30  22827 -35881   P   -1.1594  0.6850  65.3S  96.2W   0  165             
 17  -18  -0883 Jan 06  21:47:16  22525 -35658   P   -1.1446  0.7104  66.4S 134.0E   0  176             
 18  -17  -0865 Jan 18  05:34:46  22225 -35435   P   -1.1254  0.7434  67.5S   5.0E   0  187             
 19  -16  -0847 Jan 28  13:13:23  21927 -35212   P   -1.0983  0.7902  68.6S 122.4W   0  198             
 20  -15  -0829 Feb 08  20:45:13  21631 -34989   P   -1.0650  0.8481  69.6S 111.4E   0  210             

 21  -14  -0811 Feb 19  04:08:00  21338 -34766   P   -1.0238  0.9202  70.4S  13.2W   0  223             
 22  -13  -0793 Mar 02  11:24:22  21046 -34543   A   -0.9765  0.9399  74.5S 175.1W  12  273 1102  04m06s
 23  -12  -0775 Mar 12  18:30:48  20756 -34320   A   -0.9204  0.9479  66.8S  36.1E  23  312  493  04m01s
 24  -11  -0757 Mar 24  01:32:01  20468 -34097   A   -0.8589  0.9550  57.0S  86.2W  30  326  319  03m50s
 25  -10  -0739 Apr 03  08:25:25  20182 -33874   A   -0.7897  0.9617  47.0S 160.0E  38  333  224  03m35s
 26  -09  -0721 Apr 14  15:15:24  19899 -33651   A   -0.7168  0.9681  37.4S  49.8E  44  338  163  03m15s
 27  -08  -0703 Apr 24  21:59:40  19617 -33428   A   -0.6379  0.9739  28.0S  57.6W  50  342  120  02m51s
 28  -07  -0685 May 06  04:43:37  19314 -33205   A   -0.5575  0.9793  19.1S 163.9W  56  346   88  02m23s
 29  -06  -0667 May 16  11:25:24  19012 -32982   A   -0.4740  0.9841  10.7S  91.1E  62  349   64  01m54s
 30  -05  -0649 May 27  18:08:21  18714 -32759   A   -0.3902  0.9884   2.9S  13.3W  67  353   44  01m25s

 31  -04  -0631 Jun 07  00:52:54  18422 -32536   A   -0.3066  0.9920   4.1N 117.4W  72  357   30  00m59s
 32  -03  -0613 Jun 18  07:41:22  18133 -32313   A   -0.2250  0.9951  10.3N 138.5E  77    1   18  00m35s
 33  -02  -0595 Jun 28  14:34:50  17850 -32090   A   -0.1466  0.9974  15.5N  33.9E  82    5    9  00m18s
 34  -01  -0577 Jul 09  21:33:45  17570 -31867   A   -0.0717  0.9993  19.5N  71.3W  86   10    2  00m04s
 35   00  -0559 Jul 20  04:40:58  17296 -31644   H   -0.0026  1.0006  22.3N 178.0W  90   76    2  00m04s
 36   01  -0541 Jul 31  11:56:09  17025 -31421   H    0.0611  1.0015  23.8N  73.7E  86  198    5  00m09s
 37   02  -0523 Aug 10  19:20:49  16758 -31198   H    0.1176  1.0020  24.1N  36.9W  83  202    7  00m12s
 38   03  -0505 Aug 22  02:54:54  16496 -30975   Hm   0.1674  1.0023  23.3N 150.0W  80  206    8  00m13s
 39   04  -0487 Sep 01  10:39:47  16237 -30752   H    0.2091  1.0023  21.5N  93.7E  78  208    8  00m13s
 40   05  -0469 Sep 12  18:34:28  15983 -30529   H    0.2437  1.0023  19.1N  25.4W  76  210    8  00m13s


Catalog of Solar Eclipse Saros 56

                          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   06  -0451 Sep 23  02:38:36  15732 -30306   H    0.2713  1.0024  16.1N 147.4W  74  210    9  00m13s
 42   07  -0433 Oct 04  10:52:17  15485 -30083   H    0.2920  1.0026  12.7N  87.9E  73  210    9  00m14s
 43   08  -0415 Oct 14  19:14:55  15242 -29860   H    0.3057  1.0031   9.2N  39.3W  72  209   11  00m17s
 44   09  -0397 Oct 26  03:44:28  15002 -29637   H    0.3148  1.0040   5.7N 168.4W  72  207   14  00m23s
 45   10  -0379 Nov 05  12:19:59  14766 -29414   H    0.3195  1.0052   2.5N  61.1E  71  204   19  00m31s
 46   11  -0361 Nov 16  20:59:44  14533 -29191   H    0.3213  1.0071   0.4S  70.5W  71  200   26  00m42s
 47   12  -0343 Nov 27  05:42:53  14303 -28968   H    0.3210  1.0094   2.7S 157.3E  71  197   34  00m57s
 48   13  -0325 Dec 08  14:25:47  14076 -28745   H    0.3213  1.0123   4.3S  25.4E  71  192   45  01m16s
 49   14  -0307 Dec 18  23:08:59  13853 -28522   H    0.3218  1.0156   5.0S 106.6W  71  188   57  01m38s
 50   15  -0289 Dec 30  07:48:35  13633 -28299   T    0.3258  1.0196   4.7S 122.4E  71  183   71  02m04s

 51   16  -0270 Jan 09  16:25:37  13415 -28076   T    0.3324  1.0240   3.4S   8.1W  71  179   86  02m30s
 52   17  -0252 Jan 21  00:55:45  13201 -27853   T    0.3453  1.0287   0.9S 137.1W  70  175  104  02m57s
 53   18  -0234 Jan 31  09:21:39  12989 -27630   T    0.3623  1.0337   2.5N  94.7E  69  171  122  03m24s
 54   19  -0216 Feb 11  17:39:22  12780 -27407   T    0.3864  1.0389   6.9N  32.0W  67  168  141  03m48s
 55   20  -0198 Feb 22  01:50:40  12573 -27184   T    0.4166  1.0441  12.2N 157.4W  65  165  161  04m10s
 56   21  -0180 Mar 04  09:53:23  12369 -26961   T    0.4546  1.0492  18.3N  78.8E  63  162  182  04m27s
 57   22  -0162 Mar 15  17:50:15  12167 -26738   T    0.4980  1.0540  25.1N  43.8W  60  160  205  04m40s
 58   23  -0144 Mar 26  01:39:38  11968 -26515   T    0.5482  1.0584  32.4N 164.9W  57  159  229  04m47s
 59   24  -0126 Apr 06  09:22:42  11771 -26292   T    0.6041  1.0623  40.3N  75.2E  53  157  255  04m48s
 60   25  -0108 Apr 16  16:59:52  11576 -26069   T    0.6655  1.0654  48.8N  43.5W  48  155  286  04m43s

 61   26  -0090 Apr 28  00:32:53  11383 -25846   T    0.7309  1.0677  57.7N 161.8W  43  153  324  04m32s
 62   27  -0072 May 08  08:01:55  11192 -25623   T    0.7997  1.0690  67.2N  79.5E  37  150  376  04m16s
 63   28  -0054 May 19  15:28:23  11004 -25400   T    0.8709  1.0691  77.4N  44.9W  29  140  463  03m55s
 64   29  -0036 May 29  22:53:45  10816 -25177   T    0.9432  1.0674  84.8N 121.9E  19   60  683  03m28s
 65   30  -0018 Jun 10  06:19:35  10631 -24954   P    1.0154  0.9954  67.1N  50.2W   0    2             
 66   31   0000 Jun 20  13:45:32  10447 -24731   P    1.0876  0.8552  66.1N 173.0W   0  351             
 67   32   0018 Jul 01  21:14:39  10265 -24508   P    1.1572  0.7197  65.1N  63.7E   0  342             
 68   33   0036 Jul 12  04:46:32  10084 -24285   P    1.2245  0.5888  64.2N  59.9W   0  332             
 69   34   0054 Jul 23  12:24:26   9905 -24062   P    1.2871  0.4677  63.4N 175.3E   0  323             
 70   35   0072 Aug 02  20:06:10   9726 -23839   P    1.3464  0.3533  62.6N  49.9E   0  313             

 71   36   0090 Aug 14  03:56:10   9550 -23616   P    1.3992  0.2521  62.0N  77.5W   0  304             
 72   37   0108 Aug 24  11:52:11   9374 -23393   P    1.4473  0.1608  61.5N 153.8E   0  295             
 73   38   0126 Sep 04  19:56:53   9199 -23170   P    1.4882  0.0838  61.2N  23.1E   0  286             
 74   39   0144 Sep 15  04:08:10   9025 -22947   Pe   1.5239  0.0176  61.0N 109.2W   0  277             


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