Saros Series Catalog of Solar Eclipses

Saros Series 4

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 4

Solar eclipses of Saros 4 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 -2731 May 06. The series ended with a partial eclipse in the northern hemisphere on -1451 Jun 13. The total duration of Saros series 4 is 1280.14 years. In summary:

                      First Eclipse =  -2731 May 06   21:27:10 TD
                       Last Eclipse =  -1451 Jun 13   06:19:54 TD

                      Duration of Saros   4  =  1280.14 Years

Saros 4 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 4
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 15 20.8%
AnnularA 29 40.3%
TotalT 11 15.3%
Hybrid[3]H 17 23.6%

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 4 appears in the following table.

Umbral Eclipses of Saros 4
Classification Number Percent
All Umbral Eclipses 57100.0%
Central (two limits) 56 98.2%
Central (one limit) 1 1.8%
Non-Central (one limit) 0 0.0%

The following string illustrates the sequence of the 72 eclipses in Saros 4: 7P 29A 17H 11T 8P

The longest and shortest central eclipses of Saros 4 as well as largest and smallest partial eclipses are listed in the below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 4
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse -2533 Sep 0208m58s -
Shortest Annular Solar Eclipse -2100 May 1900m17s -
Longest Total Solar Eclipse -1631 Feb 2503m54s -
Shortest Total Solar Eclipse -1776 Nov 3001m24s -
Longest Hybrid Solar Eclipse -1794 Nov 1901m05s -
Shortest Hybrid Solar Eclipse -2082 May 3000m02s -
Largest Partial Solar Eclipse -1577 Mar 30 - 0.99984
Smallest Partial Solar Eclipse -1451 Jun 13 - 0.06666

Description of the Catalog of Solar Eclipses of Saros 4

The catalog below lists concise details and local circumstances at greatest eclipse[5] for every solar eclipse in Saros 4. 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 4.



Catalog of Solar Eclipses of Saros 4

                         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

----- -34 -2731 May 06  21:27:10  65963 -58511   Pb  -1.5158  0.0756  71.0S 164.6W   0             
----- -33 -2713 May 18  03:46:02  65441 -58288   P   -1.4334  0.2186  70.5S  85.2E   0             
----- -32 -2695 May 28  10:03:43  64921 -58065   P   -1.3498  0.3631  69.8S  24.2W   0             
----- -31 -2677 Jun 08  16:25:05  64404 -57842   P   -1.2689  0.5023  68.9S 134.0W   0             
----- -30 -2659 Jun 18  22:49:33  63888 -57619   P   -1.1901  0.6370  68.0S 116.0E   0             
----- -29 -2641 Jun 30  05:19:08  63374 -57396   P   -1.1151  0.7645  67.0S   5.3E   0             
----- -28 -2623 Jul 10  11:55:49  62863 -57173   P   -1.0454  0.8819  65.9S 106.7W   0             
----- -27 -2605 Jul 21  18:40:40  62353 -56950   As  -0.9820  0.9268  55.2S 144.9E  10   -   07m13s
----- -26 -2587 Aug 01  01:34:39  61846 -56727   A   -0.9257  0.9264  43.5S  37.7E  22  732  08m05s
----- -25 -2569 Aug 12  08:37:06  61341 -56504   A   -0.8759  0.9247  37.5S  71.9W  29  580  08m36s

----- -24 -2551 Aug 22  15:50:29  60838 -56281   A   -0.8346  0.9226  34.3S 175.8E  33  518  08m53s
----- -23 -2533 Sep 02  23:12:57  60336 -56058   A   -0.8002  0.9205  33.0S  61.4E  37  487  08m58s
----- -22 -2515 Sep 13  06:45:12  59837 -55835   A   -0.7738  0.9186  33.2S  55.5W  39  471  08m56s
----- -21 -2497 Sep 24  14:25:38  59340 -55612   A   -0.7538  0.9170  34.7S 174.5W  41  464  08m48s
----- -20 -2479 Oct 04  22:14:47  58845 -55389   A   -0.7408  0.9157  37.3S  64.3E  42  462  08m36s
----- -19 -2461 Oct 16  06:09:29  58352 -55166   A   -0.7317  0.9151  40.6S  58.3W  43  461  08m21s
----- -18 -2443 Oct 26  14:08:48  57862 -54943   A   -0.7261  0.9150  44.5S 178.1E  43  459  08m04s
----- -17 -2425 Nov 06  22:10:57  57373 -54720   A   -0.7224  0.9156  48.7S  54.2E  43  455  07m46s
----- -16 -2407 Nov 17  06:15:07  56886 -54497   A   -0.7204  0.9168  53.2S  69.5W  44  449  07m26s
----- -15 -2389 Nov 28  14:17:14  56402 -54274   A   -0.7159  0.9189  57.4S 168.8E  44  437  07m05s

----- -14 -2371 Dec 08  22:17:26  55919 -54051   A   -0.7094  0.9216  61.2S  49.5E  45  419  06m45s
----- -13 -2353 Dec 20  06:12:28  55439 -53828   A   -0.6981  0.9251  64.1S  65.7W  45  394  06m24s
----- -12 -2335 Dec 30  14:03:41  54960 -53605   A   -0.6829  0.9292  65.7S 177.1W  47  364  06m04s
----- -11 -2316 Jan 10  21:45:48  54484 -53382   A   -0.6598  0.9340  65.2S  75.2E  48  329  05m44s
----- -10 -2298 Jan 21  05:22:17  54010 -53159   A   -0.6315  0.9392  62.8S  32.2W  51  292  05m24s
----- -09 -2280 Feb 01  12:48:48  53538 -52936   A   -0.5943  0.9448  58.4S 139.8W  53  254  05m03s
----- -08 -2262 Feb 11  20:08:54  53068 -52713   A   -0.5510  0.9508  52.8S 111.4E  56  217  04m40s
----- -07 -2244 Feb 23  03:18:47  52600 -52490   A   -0.4986  0.9568  46.0S   2.9E  60  181  04m16s
----- -06 -2226 Mar 05  10:23:28  52134 -52267   A   -0.4410  0.9630  38.6S 105.9W  64  149  03m49s
----- -05 -2208 Mar 15  17:19:40  51670 -52044   A   -0.3756  0.9690  30.6S 146.4E  68  120  03m19s

----- -04 -2190 Mar 27  00:10:56  51208 -51821   A   -0.3053  0.9748  22.3S  39.4E  72   94  02m47s
----- -03 -2172 Apr 06  06:56:40  50748 -51598   A   -0.2292  0.9803  13.8S  66.6W  77   72  02m14s
----- -02 -2154 Apr 17  13:40:40  50291 -51375   A   -0.1507  0.9854   5.2S 172.3W  81   52  01m40s
----- -01 -2136 Apr 27  20:22:41  49835 -51152   A   -0.0694  0.9900   3.5N  82.6E  86   35  01m09s
-----  00 -2118 May 09  03:04:27  49382 -50929   A    0.0130  0.9940  12.0N  22.1W  89   21  00m40s
-----  01 -2100 May 19  09:48:24  48930 -50706   A    0.0950  0.9974  20.2N 126.9W  84    9  00m17s
-----  02 -2082 May 30  16:35:25  48481 -50483   Hm   0.1758  1.0002  28.0N 128.3E  80    1  00m02s
-----  03 -2064 Jun 09  23:26:42  48034 -50260   H    0.2540  1.0025  35.3N  23.5E  75    9  00m15s
-----  04 -2046 Jun 21  06:23:52  47588 -50037   H    0.3283  1.0041  41.8N  81.5W  71   15  00m23s
-----  05 -2028 Jul 01  13:28:35  47145 -49814   H    0.3975  1.0051  47.2N 173.2E  66   19  00m28s


Catalog of Solar Eclipses of Saros 4

                         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

-----  06 -2010 Jul 12  20:41:58  46704 -49591   H    0.4606  1.0057  51.4N  67.4E  62   22  00m29s
00019  07 -1992 Jul 23  04:03:17  46265 -49368   H    0.5182  1.0059  54.0N  39.0W  59   24  00m29s
00062  08 -1974 Aug 03  11:35:27  45828 -49145   H    0.5677  1.0057  55.0N 147.6W  55   24  00m27s
00105  09 -1956 Aug 13  19:17:10  45393 -48922   H    0.6100  1.0054  54.4N 100.8E  52   23  00m25s
00148  10 -1938 Aug 25  03:09:40  44961 -48699   H    0.6444  1.0050  52.6N  15.0W  50   22  00m23s
00191  11 -1920 Sep 04  11:10:54  44530 -48476   H    0.6724  1.0046  49.9N 134.7W  48   21  00m21s
00235  12 -1902 Sep 15  19:22:56  44101 -48253   H    0.6925  1.0044  46.6N 101.3E  46   21  00m20s
00279  13 -1884 Sep 26  03:43:13  43675 -48030   H    0.7067  1.0045  43.1N  26.0W  45   22  00m21s
00325  14 -1866 Oct 07  12:11:37  43250 -47807   H    0.7148  1.0050  39.4N 156.4W  44   24  00m24s
00371  15 -1848 Oct 17  20:46:35  42828 -47584   H    0.7184  1.0059  35.7N  71.0E  44   29  00m29s

00417  16 -1830 Oct 29  05:27:09  42408 -47361   H    0.7181  1.0074  32.1N  63.4W  44   36  00m38s
00462  17 -1812 Nov 08  14:11:00  41989 -47138   H    0.7160  1.0094  28.8N 161.2E  44   45  00m49s
00509  18 -1794 Nov 19  22:56:01  41573 -46915   H2   0.7137  1.0120  26.0N  25.7E  44   58  01m05s
00555  19 -1776 Nov 30  07:41:49  41159 -46692   T    0.7115  1.0151  23.7N 110.0W  44   73  01m24s
00600  20 -1758 Dec 11  16:25:49  40747 -46469   T    0.7109  1.0187  22.2N 114.8E  45   90  01m47s
00645  21 -1740 Dec 22  01:06:10  40337 -46246   T    0.7143  1.0228  21.7N  19.3W  44  110  02m11s
00691  22 -1721 Jan 02  09:41:25  39929 -46023   T    0.7224  1.0271  22.3N 152.2W  44  133  02m37s
00737  23 -1703 Jan 12  18:10:50  39523 -45800   T    0.7358  1.0318  23.9N  76.3E  42  158  03m01s
00781  24 -1685 Jan 24  02:33:47  39119 -45577   T    0.7549  1.0365  26.8N  54.0W  41  187  03m23s
00823  25 -1667 Feb 03  10:48:21  38718 -45354   T    0.7813  1.0412  30.8N 177.4E  38  221  03m40s

00864  26 -1649 Feb 14  18:55:44  38318 -45131   T    0.8141  1.0456  36.1N  49.8E  35  261  03m51s
00905  27 -1631 Feb 25  02:54:56  37920 -44908   T    0.8541  1.0495  42.8N  77.0W  31  315  03m54s
00946  28 -1613 Mar 08  10:47:14  37525 -44685   T    0.9003  1.0528  50.8N 155.7E  25  401  03m49s
00987  29 -1595 Mar 18  18:31:52  37132 -44462   T    0.9531  1.0547  60.8N  24.3E  17  607  03m33s
01028  30 -1577 Mar 30  02:11:02  36740 -44239   P    1.0109  0.9998  71.6N 140.3W   0             
01069  31 -1559 Apr 09  09:44:40  36351 -44016   P    1.0736  0.8801  71.6N  90.7E   0             
01109  32 -1541 Apr 20  17:13:51  35964 -43793   P    1.1403  0.7517  71.4N  37.0W   0             
01149  33 -1523 May 01  00:40:11  35579 -43570   P    1.2096  0.6174  70.9N 163.8W   0             
01189  34 -1505 May 12  08:04:36  35196 -43347   P    1.2809  0.4789  70.3N  70.4E   0             
01229  35 -1487 May 22  15:29:11  34815 -43124   P    1.3520  0.3405  69.5N  54.9W   0             

01269  36 -1469 Jun 02  22:52:59  34436 -42901   P    1.4237  0.2010  68.6N 179.4W   0             
01309  37 -1451 Jun 13  06:19:54  34059 -42678   Pe   1.4929  0.0667  67.7N  55.8E   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