Catalog of Solar Eclipse Saros Series

Saros Series 50

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 50 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 -1201 Feb 11. The series ended with a partial eclipse in the northern hemisphere on 0097 Apr 01. The total duration of Saros series 50 is 1298.17 years. In summary:

                      First Eclipse = -1201 Feb 11   18:52:54 TD
                       Last Eclipse =  0097 Apr 01   05:33:53 TD

                      Duration of Saros  50  =  1298.17 Years

Saros 50 is composed of 73 solar eclipses as follows:

Solar Eclipses of Saros 50
Eclipse Type Symbol Number Percent
All Eclipses - 73100.0%
PartialP 30 41.1%
AnnularA 22 30.1%
TotalT 18 24.7%
Hybrid[3]H 3 4.1%

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 50 appears in the following table.

Umbral Eclipses of Saros 50
Classification Number Percent
All Umbral Eclipses 43100.0%
Central (two limits) 42 97.7%
Central (one limit) 1 2.3%
Non-Central (one limit) 0 0.0%

The following string illustrates the sequence of the 73 eclipses in Saros 50: 8P 22A 3H 18T 22P

The longest and shortest eclipses of Saros 50 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:   -0462 Apr 30      Duration = 05m13s
         Shortest  Total  Solar Eclipse:   -0606 Feb 03      Duration = 01m53s

          Longest Annular Solar Eclipse:   -1039 May 19      Duration = 03m54s
         Shortest Annular Solar Eclipse:   -0679 Dec 21      Duration = 00m14s

          Longest Hybrid  Solar Eclipse:   -0624 Jan 23      Duration = 01m18s
         Shortest Hybrid  Solar Eclipse:   -0660 Jan 02      Duration = 00m14s

          Largest Partial Solar Eclipse:   -0282 Aug 16     Magnitude = 0.9877
         Smallest Partial Solar Eclipse:   -1201 Feb 11     Magnitude = 0.0540

Local circumstances at greatest eclipse[4] for every eclipse of Saros 50 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 050 Animation.



Catalog of Solar Eclipse Saros 50

                          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  -35  -1201 Feb 11  18:52:54  28141 -39590   Pb  -1.5351  0.0540  69.5S 166.3E   0  211             
 02  -34  -1183 Feb 22  02:06:01  27806 -39367   P   -1.4909  0.1267  70.3S  44.0E   0  223             
 03  -33  -1165 Mar 05  09:07:32  27473 -39144   P   -1.4370  0.2165  71.0S  76.0W   0  236             
 04  -32  -1147 Mar 15  16:03:24  27141 -38921   P   -1.3779  0.3161  71.5S 165.0E   0  250             
 05  -31  -1129 Mar 26  22:49:48  26812 -38698   P   -1.3101  0.4314  71.8S  48.1E   0  263             
 06  -30  -1111 Apr 06  05:31:29  26485 -38475   P   -1.2378  0.5555  71.8S  67.7W   0  277             
 07  -29  -1093 Apr 17  12:06:21  26160 -38252   P   -1.1588  0.6923  71.6S 178.3E   0  290             
 08  -28  -1075 Apr 27  18:39:41  25837 -38029   P   -1.0776  0.8341  71.1S  65.0E   0  303             
 09  -27  -1057 May 09  01:09:50  25516 -37806   As  -0.9924  0.9527  66.3S  56.7W   5  325   -   03m47s
 10  -26  -1039 May 19  07:39:42  25196 -37583   A   -0.9059  0.9606  46.8S 177.4W  25  344  338  03m54s

 11  -25  -1021 May 30  14:10:31  24879 -37360   A   -0.8187  0.9655  34.9S  76.4E  35  351  217  03m49s
 12  -24  -1003 Jun 09  20:44:45  24564 -37137   A   -0.7329  0.9694  25.3S  28.0W  43  356  162  03m38s
 13  -23  -0985 Jun 21  03:23:23  24251 -36914   A   -0.6495  0.9724  17.4S 131.9W  49    0  130  03m25s
 14  -22  -0967 Jul 01  10:07:18  23940 -36691   A   -0.5693  0.9748  10.9S 123.8E  55    5  110  03m09s
 15  -21  -0949 Jul 12  16:59:24  23631 -36468   A   -0.4944  0.9765   5.8S  18.4E  60    9   96  02m54s
 16  -20  -0931 Jul 22  23:59:33  23324 -36245   A   -0.4248  0.9778   2.1S  88.5W  65   13   87  02m41s
 17  -19  -0913 Aug 03  07:08:24  23018 -36022   A   -0.3615  0.9786   0.2N 162.9E  69   17   81  02m29s
 18  -18  -0895 Aug 13  14:27:09  22715 -35799   A   -0.3054  0.9792   1.2N  52.1E  72   21   78  02m19s
 19  -17  -0877 Aug 24  21:56:33  22414 -35576   A   -0.2573  0.9795   0.9N  61.3W  75   24   75  02m12s
 20  -16  -0859 Sep 04  05:36:46  22115 -35353   A   -0.2170  0.9797   0.4S 177.5W  77   27   74  02m07s

 21  -15  -0841 Sep 15  13:26:13  21818 -35130   A   -0.1834  0.9799   2.7S  63.9E  79   28   73  02m02s
 22  -14  -0823 Sep 25  21:26:40  21523 -34907   A   -0.1582  0.9802   5.7S  57.6W  81   29   71  01m58s
 23  -13  -0805 Oct 07  05:36:11  21230 -34684   A   -0.1398  0.9808   9.2S 178.6E  82   30   69  01m53s
 24  -12  -0787 Oct 17  13:53:58  20939 -34461   A   -0.1274  0.9817  13.1S  52.7E  83   29   65  01m47s
 25  -11  -0769 Oct 28  22:18:09  20650 -34238   A   -0.1195  0.9829  17.0S  74.6W  83   27   61  01m40s
 26  -10  -0751 Nov 08  06:48:08  20363 -34015   A   -0.1155  0.9848  20.8S 157.0E  83   25   54  01m29s
 27  -09  -0733 Nov 19  15:22:07  20078 -33792   A   -0.1140  0.9871  24.2S  27.9E  83   22   46  01m16s
 28  -08  -0715 Nov 29  23:57:18  19795 -33569   A   -0.1130  0.9900  27.0S 100.9W  83   18   35  00m59s
 29  -07  -0697 Dec 11  08:33:44  19508 -33346   A   -0.1121  0.9935  29.0S 130.3E  83   14   23  00m39s
 30  -06  -0679 Dec 21  17:07:55  19202 -33123   A   -0.1090  0.9977  30.0S   2.4E  84    9    8  00m14s

 31  -05  -0660 Jan 02  01:39:34  18902 -32900   H   -0.1028  1.0023  29.7S 124.7W  84    4    8  00m14s
 32  -04  -0642 Jan 12  10:05:24  18606 -32677   H   -0.0912  1.0075  28.2S 109.3E  85  359   26  00m45s
 33  -03  -0624 Jan 23  18:26:58  18315 -32454   H   -0.0754  1.0131  25.5S  16.0W  86  354   45  01m18s
 34  -02  -0606 Feb 03  02:41:26  18029 -32231   T   -0.0533  1.0190  21.7S 140.2W  87  351   65  01m53s
 35  -01  -0588 Feb 14  10:48:38  17746 -32008   T   -0.0244  1.0251  16.8S  96.7E  88  348   85  02m29s
 36   00  -0570 Feb 24  18:48:18  17469 -31785   T    0.0115  1.0313  11.2S  25.1W  89  163  106  03m04s
 37   01  -0552 Mar 07  02:40:48  17195 -31562   Tm   0.0541  1.0374   4.8S 145.8W  87  163  126  03m38s
 38   02  -0534 Mar 18  10:26:34  16926 -31339   T    0.1029  1.0433   2.1N  94.9E  84  162  145  04m08s
 39   03  -0516 Mar 28  18:05:08  16661 -31116   T    0.1583  1.0489   9.5N  23.0W  81  162  164  04m34s
 40   04  -0498 Apr 09  01:38:45  16400 -30893   T    0.2186  1.0540  17.1N 139.7W  77  162  183  04m54s


Catalog of Solar Eclipse Saros 50

                          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   05  -0480 Apr 19  09:07:31  16143 -30670   T    0.2839  1.0585  25.0N 104.9E  73  162  201  05m07s
 42   06  -0462 Apr 30  16:32:38  15890 -30447   T    0.3529  1.0624  32.9N   9.2W  69  163  218  05m13s
 43   07  -0444 May 10  23:55:15  15641 -30224   T    0.4247  1.0654  40.9N 122.1W  65  165  236  05m11s
 44   08  -0426 May 22  07:16:55  15395 -30001   T    0.4979  1.0676  48.7N 126.3E  60  167  255  05m04s
 45   09  -0408 Jun 01  14:38:54  15153 -29778   T    0.5714  1.0689  56.3N  16.3E  55  172  274  04m51s
 46   10  -0390 Jun 12  22:01:00  14915 -29555   T    0.6452  1.0693  63.4N  90.9W  50  178  297  04m35s
 47   11  -0372 Jun 23  05:26:41  14679 -29332   T    0.7165  1.0686  69.5N 165.9E  44  190  323  04m17s
 48   12  -0354 Jul 04  12:55:08  14448 -29109   T    0.7859  1.0671  74.1N  70.1E  38  208  357  03m58s
 49   13  -0336 Jul 14  20:29:37  14219 -28886   T    0.8505  1.0646  75.8N  18.5W  31  235  405  03m38s
 50   14  -0318 Jul 26  04:08:04  13994 -28663   T    0.9118  1.0610  74.2N 106.7W  24  263  494  03m17s

 51   15  -0300 Aug 05  11:55:06  13772 -28440   T    0.9664  1.0562  69.9N 158.6E  14  285  748  02m52s
 52   16  -0282 Aug 16  19:47:49  13552 -28217   P    1.0166  0.9877  61.9N  61.3E   0  305             
 53   17  -0264 Aug 27  03:49:10  13336 -27994   P    1.0597  0.9038  61.4N  68.8W   0  295             
 54   18  -0246 Sep 07  11:57:32  13122 -27771   P    1.0974  0.8308  61.0N 159.4E   0  286             
 55   19  -0228 Sep 17  20:15:24  12912 -27548   P    1.1272  0.7730  60.8N  25.3E   0  277             
 56   20  -0210 Sep 29  04:40:21  12703 -27325   P    1.1518  0.7256  60.8N 110.5W   0  268             
 57   21  -0192 Oct 09  13:12:43  12498 -27102   P    1.1705  0.6895  60.9N 111.9E   0  259             
 58   22  -0174 Oct 20  21:51:48  12295 -26879   P    1.1840  0.6635  61.2N  27.4W   0  250             
 59   23  -0156 Oct 31  06:37:13  12094 -26656   P    1.1922  0.6476  61.6N 168.4W   0  241             
 60   24  -0138 Nov 11  15:26:07  11895 -26433   P    1.1981  0.6362  62.2N  49.6E   0  231             

 61   25  -0120 Nov 22  00:18:07  11699 -26210   P    1.2013  0.6299  62.9N  93.4W   0  222             
 62   26  -0102 Dec 03  09:10:52  11505 -25987   P    1.2041  0.6244  63.8N 123.2E   0  212             
 63   27  -0084 Dec 13  18:04:07  11313 -25764   P    1.2064  0.6199  64.8N  20.6W   0  202             
 64   28  -0066 Dec 25  02:53:42  11123 -25541   P    1.2115  0.6103  65.8N 163.9W   0  191             
 65   29  -0047 Jan 04  11:41:07  10934 -25318   P    1.2182  0.5976  66.9N  52.9E   0  180             
 66   30  -0029 Jan 15  20:21:59  10748 -25095   P    1.2300  0.5754  68.0N  89.2W   0  169             
 67   31  -0011 Jan 26  04:57:33  10563 -24872   P    1.2460  0.5453  69.0N 129.5E   0  157             
 68   32   0007 Feb 06  13:24:00  10380 -24649   P    1.2693  0.5016  69.9N  10.2W   0  145             
 69   33   0025 Feb 16  21:44:01  10198 -24426   P    1.2974  0.4485  70.7N 148.8W   0  132             
 70   34   0043 Feb 28  05:54:27  10018 -24203   P    1.3329  0.3816  71.3N  74.4E   0  119             

 71   35   0061 Mar 10  13:56:24   9839 -23980   P    1.3751  0.3017  71.7N  60.7W   0  105             
 72   36   0079 Mar 21  21:49:07   9661 -23757   P    1.4245  0.2084  71.8N 166.3E   0   91             
 73   37   0097 Apr 01  05:33:53   9485 -23534   Pe   1.4800  0.1036  71.7N  35.4E   0   78             


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