Saros Series Catalog of Solar Eclipses

Saros Series 156

Introduction

The periodicity and recurrence of solar 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. For more information, see Periodicity of Solar Eclipses.


Statistics for Solar Eclipses of Saros 156

Solar eclipses of Saros 156 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series will begin with a partial eclipse in the southern hemisphere on 2011 Jul 01. The series will end with a partial eclipse in the northern hemisphere on 3237 Jul 14. The total duration of Saros series 156 is 1226.05 years. In summary:

                      First Eclipse =   2011 Jul 01   08:39:30 TD
                       Last Eclipse =   3237 Jul 14   10:57:04 TD

                      Duration of Saros 156  =  1226.05 Years

Saros 156 is composed of 69 solar eclipses as follows:

Solar Eclipses of Saros 156
Eclipse Type Symbol Number Percent
All Eclipses - 69100.0%
PartialP 17 24.6%
AnnularA 52 75.4%
TotalT 0 0.0%
Hybrid[3]H 0 0.0%

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 156 appears in the following table.

Umbral Eclipses of Saros 156
Classification Number Percent
All Umbral Eclipses 52100.0%
Central (two limits) 51 98.1%
Central (one limit) 1 1.9%
Non-Central (one limit) 0 0.0%

The following string illustrates the sequence of the 69 eclipses in Saros 156: 8P 52A 9P

The longest and shortest central eclipses of Saros 156 as well as largest and smallest partial eclipses are listed in the below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 156
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 2516 May 0308m28s -
Shortest Annular Solar Eclipse 3075 Apr 0702m19s -
Largest Partial Solar Eclipse 2137 Sep 15 - 0.94361
Smallest Partial Solar Eclipse 2011 Jul 01 - 0.09706

Description of the Catalog of Solar Eclipses of Saros 156

The catalog below lists concise details and local circumstances at greatest eclipse[5] for every solar eclipse in Saros 156. A description or explanation of each parameter listed in the catalog can be found in Key to Catalog of Solar Eclipse Saros Series.

Several fields in the catalog link to web pages or files containing additional information for each eclipse (for the years -1999 through +3000). The following gives a brief explanation of each link.


For an animation showing how the eclipse path changes with each member of the series, see Animation of Saros 156.



Catalog of Solar Eclipses of Saros 156

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

09533 -34  2011 Jul 01  08:39:30     67    142   Pb  -1.4917  0.0971  65.2S  28.6E   0             
09573 -33  2029 Jul 11  15:37:19     77    365   P   -1.4191  0.2303  64.3S  85.6W   0             
09613 -32  2047 Jul 22  22:36:17     91    588   P   -1.3477  0.3604  63.4S 160.2E   0             
09654 -31  2065 Aug 02  05:34:17    125    811   P   -1.2759  0.4903  62.7S  46.5E   0             
09695 -30  2083 Aug 13  12:34:41    165   1034   P   -1.2064  0.6146  62.1S  67.5W   0             
09736 -29  2101 Aug 24  19:37:03    206   1257   P   -1.1392  0.7337  61.6S 178.2E   0             
09777 -28  2119 Sep 05  02:44:27    250   1480   P   -1.0766  0.8431  61.2S  62.8E   0             
09818 -27  2137 Sep 15  09:56:34    296   1703   P   -1.0184  0.9436  61.0S  53.8W   0             
09860 -26  2155 Sep 26  17:14:27    340   1926   A   -0.9654  0.9593  58.6S 143.0W  15  570  02m55s
09902 -25  2173 Oct 07  00:39:14    380   2149   A   -0.9187  0.9558  57.8S 114.0E  23  402  03m17s

09946 -24  2191 Oct 18  08:11:12    422   2372   A   -0.8783  0.9516  58.7S   5.2E  28  365  03m39s
09991 -23  2209 Oct 29  15:50:20    465   2595   A   -0.8445  0.9472  60.7S 106.3W  32  358  04m02s
10034 -22  2227 Nov 09  23:36:42    511   2818   A   -0.8171  0.9429  63.3S 140.7E  35  364  04m24s
10078 -21  2245 Nov 20  07:29:36    559   3041   A   -0.7955  0.9387  66.3S  27.1E  37  374  04m45s
10123 -20  2263 Dec 01  15:28:45    609   3264   A   -0.7794  0.9349  69.2S  85.8W  38  388  05m06s
10168 -19  2281 Dec 11  23:31:24    661   3487   A   -0.7667  0.9316  71.4S 163.7E  40  400  05m26s
10214 -18  2299 Dec 23  07:38:42    716   3710   A   -0.7584  0.9288  72.5S  54.8E  40  413  05m45s
10259 -17  2318 Jan 03  15:47:14    772   3933   A   -0.7519  0.9265  71.9S  53.7W  41  422  06m02s
10305 -16  2336 Jan 14  23:56:42    830   4156   A   -0.7463  0.9250  69.6S 164.9W  41  427  06m19s
10351 -15  2354 Jan 25  08:03:20    891   4379   A   -0.7388  0.9240  66.0S  80.6E  42  427  06m35s

10396 -14  2372 Feb 05  16:07:48    953   4602   A   -0.7301  0.9237  61.5S  36.9W  43  422  06m50s
10439 -13  2390 Feb 16  00:06:58   1018   4825   A   -0.7177  0.9239  56.4S 155.6W  44  411  07m06s
10483 -12  2408 Feb 27  07:59:40   1084   5048   A   -0.7004  0.9249  50.8S  85.5E  45  394  07m22s
10526 -11  2426 Mar 09  15:44:45   1153   5271   A   -0.6774  0.9262  44.7S  32.5W  47  374  07m38s
10569 -10  2444 Mar 19  23:21:38   1224   5494   A   -0.6476  0.9280  38.3S 149.1W  49  351  07m53s
10612 -09  2462 Mar 31  06:49:44   1297   5717   A   -0.6111  0.9302  31.7S  96.3E  52  327  08m07s
10654 -08  2480 Apr 10  14:07:46   1372   5940   A   -0.5664  0.9326  24.8S  16.0W  55  303  08m18s
10696 -07  2498 Apr 21  21:17:12   1448   6163   A   -0.5148  0.9351  17.9S 125.9W  59  280  08m26s
10738 -06  2516 May 03  04:17:47   1528   6386   A   -0.4559  0.9377  10.9S 126.7E  63  259  08m28s
10779 -05  2534 May 14  11:09:29   1609   6609   A   -0.3896  0.9402   4.1S  21.9E  67  240  08m23s

10819 -04  2552 May 24  17:54:09   1692   6832   A   -0.3174  0.9425   2.5N  80.5W  72  224  08m09s
10859 -03  2570 Jun 05  00:32:17   1777   7055   A   -0.2395  0.9446   8.7N 179.4E  76  211  07m48s
10899 -02  2588 Jun 15  07:06:20   1864   7278   A   -0.1582  0.9463  14.3N  81.1E  81  200  07m21s
10940 -01  2606 Jun 27  13:34:39   1954   7501   A   -0.0720  0.9477  19.3N  15.0W  86  193  06m52s
10981  00  2624 Jul 07  20:02:10   2045   7724   Am   0.0150  0.9487  23.4N 110.2W  89  188  06m24s
11021  01  2642 Jul 19  02:27:54   2139   7947   A    0.1040  0.9493  26.6N 155.8E  84  187  06m00s
11061  02  2660 Jul 29  08:55:21   2235   8170   A    0.1914  0.9495  28.9N  61.8E  79  189  05m42s
11102  03  2678 Aug 09  15:23:56   2332   8393   A    0.2782  0.9492  30.4N  32.2W  74  194  05m30s
11144  04  2696 Aug 19  21:57:56   2432   8616   A    0.3608  0.9485  31.1N 127.6W  69  201  05m24s
11186  05  2714 Sep 01  04:36:50   2534   8839   A    0.4397  0.9474  31.3N 135.5E  64  213  05m24s


Catalog of Solar Eclipses of Saros 156

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

11229  06  2732 Sep 11  11:21:54   2638   9062   A    0.5138  0.9461  31.1N  36.6E  59  227  05m29s
11272  07  2750 Sep 22  18:14:45   2744   9285   A    0.5817  0.9445  30.9N  64.7W  54  246  05m40s
11317  08  2768 Oct 03  01:16:28   2852   9508   A    0.6427  0.9428  30.7N 168.8W  50  269  05m54s
11362  09  2786 Oct 14  08:28:06   2962   9731   A    0.6961  0.9410  30.8N  84.0E  46  296  06m11s
11407  10  2804 Oct 24  15:48:02   3074   9954   A    0.7433  0.9392  31.2N  26.0W  42  327  06m30s
11452  11  2822 Nov 04  23:19:12   3188  10177   A    0.7817  0.9376  31.9N 139.4W  38  362  06m49s
11497  12  2840 Nov 15  06:59:00   3305  10400   A    0.8135  0.9363  32.9N 104.4E  35  399  07m05s
11543  13  2858 Nov 26  14:48:33   3423  10623   A    0.8377  0.9354  34.1N  14.9W  33  435  07m17s
11589  14  2876 Dec 06  22:44:54   3544  10846   A    0.8570  0.9349  35.5N 136.5W  31  468  07m22s
11636  15  2894 Dec 18  06:49:29   3666  11069   A    0.8700  0.9350  37.0N  99.4E  29  492  07m20s

11683  16  2912 Dec 29  14:58:37   3791  11292   A    0.8798  0.9356  38.8N  26.2W  28  507  07m10s
11728  17  2931 Jan 09  23:12:05   3918  11515   A    0.8864  0.9369  40.7N 153.2W  27  510  06m52s
11772  18  2949 Jan 20  07:27:37   4046  11738   A    0.8919  0.9388  43.0N  79.2E  27  504  06m26s
11816  19  2967 Jan 31  15:44:49   4177  11961   A    0.8961  0.9413  45.6N  49.1W  26  490  05m55s
11860  20  2985 Feb 11  00:00:02   4310  12184   A    0.9028  0.9444  48.9N 177.3W  25  477  05m19s
-----  21  3003 Feb 23  08:13:25   4445  12407   A    0.9116  0.9479  52.9N  54.4E  24  465  04m41s
-----  22  3021 Mar 05  16:22:29   4582  12630   A    0.9243  0.9518  57.6N  74.1W  22  463  04m02s
-----  23  3039 Mar 17  00:28:08   4721  12853   A    0.9405  0.9560  62.9N 156.0E  19  477  03m25s
-----  24  3057 Mar 27  08:25:59   4863  13076   A    0.9637  0.9601  69.0N  21.1E  15  559  02m50s
-----  25  3075 Apr 07  16:19:22   5006  13299   An   0.9913  0.9632  73.5N 135.4W   6   -   02m19s

-----  26  3093 Apr 18  00:04:23   5151  13522   P    1.0267  0.9310  71.4N  75.4E   0             
-----  27  3111 Apr 30  07:44:44   5299  13745   P    1.0664  0.8629  70.7N  52.2W   0             
-----  28  3129 May 10  15:16:03   5448  13968   P    1.1142  0.7796  69.8N 176.9W   0             
-----  29  3147 May 21  22:43:49   5600  14191   P    1.1655  0.6887  68.9N  59.9E   0             
-----  30  3165 Jun 01  06:04:31   5754  14414   P    1.2235  0.5848  67.9N  60.9W   0             
-----  31  3183 Jun 12  13:21:59   5909  14637   P    1.2845  0.4740  66.9N 179.6E   0             
-----  32  3201 Jun 22  20:34:47   6067  14860   P    1.3499  0.3541  65.9N  61.7E   0             
-----  33  3219 Jul 04  03:46:45   6227  15083   P    1.4166  0.2307  65.0N  55.5W   0             
-----  34  3237 Jul 14  10:57:04   6389  15306   Pe   1.4851  0.1030  64.1N 172.0W   0             


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.


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 Earth's center. For total eclipses, the instant of greatest eclipse is nearly equal 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.


Acknowledgments

The information presented on this web page is based on data published in Five Millennium Canon of Solar Eclipses: -1999 to +3000 and Five Millennium Catalog of Solar Eclipses: -1999 to +3000. The individual global maps appearing in links (both GIF an animation) were extracted from full page plates appearing in Five Millennium Canon by Dan McGlaun. The Besselian elements were provided by Jean Meeus. Fred Espenak assumes full responsibility for the accuracy of all eclipse calculations.

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

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


Return to:

Saros Series Catalog of Solar Eclipses

Periodicity of Solar Eclipses

Five Millennium Catalog of Solar Eclipses

2009 Sep 26