Catalog of Solar Eclipse Saros Series

Saros Series 76

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 76 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 -0575 Jun 18. The series ended with a partial eclipse in the northern hemisphere on 0705 Jul 25. The total duration of Saros series 76 is 1280.14 years. In summary:

                      First Eclipse = -0575 Jun 18   02:27:50 TD
                       Last Eclipse =  0705 Jul 25   13:52:37 TD

                      Duration of Saros  76  =  1280.14 Years

Saros 76 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 76
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 29 40.3%
AnnularA 30 41.7%
TotalT 8 11.1%
Hybrid[3]H 5 6.9%

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 76 appears in the following table.

Umbral Eclipses of Saros 76
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 72 eclipses in Saros 76: 22P 8T 5H 30A 7P

The longest and shortest eclipses of Saros 76 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:   -0052 Apr 27      Duration = 01m25s
         Shortest  Total  Solar Eclipse:   -0178 Feb 11      Duration = 00m26s

          Longest Annular Solar Eclipse:    0363 Jan 02      Duration = 10m44s
         Shortest Annular Solar Eclipse:    0056 Jul 01      Duration = 00m20s

          Longest Hybrid  Solar Eclipse:   -0034 May 09      Duration = 01m23s
         Shortest Hybrid  Solar Eclipse:    0038 Jun 21      Duration = 00m11s

          Largest Partial Solar Eclipse:   -0196 Feb 01     Magnitude = 0.9924
         Smallest Partial Solar Eclipse:   -0575 Jun 18     Magnitude = 0.0156

Local circumstances at greatest eclipse[4] for every eclipse of Saros 76 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 076 Animation.



Catalog of Solar Eclipse Saros 76

                          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  -38  -0575 Jun 18  02:27:50  17541 -31843   Pb  -1.5192  0.0156  66.7S 146.7W   0    1             
 02  -37  -0557 Jun 29  09:56:05  17266 -31620   P   -1.4503  0.1502  65.7S  89.5E   0   11             
 03  -36  -0539 Jul 09  17:29:47  16996 -31397   P   -1.3859  0.2759  64.8S  35.2W   0   21             
 04  -35  -0521 Jul 21  01:06:17  16730 -31174   P   -1.3239  0.3964  63.9S 160.3W   0   31             
 05  -34  -0503 Jul 31  08:50:27  16468 -30951   P   -1.2681  0.5044  63.0S  73.1E   0   40             
 06  -33  -0485 Aug 11  16:39:41  16210 -30728   P   -1.2165  0.6036  62.3S  54.6W   0   50             
 07  -32  -0467 Aug 22  00:36:58  15956 -30505   P   -1.1716  0.6889  61.7S 176.0E   0   59             
 08  -31  -0449 Sep 02  08:41:00  15705 -30282   P   -1.1326  0.7625  61.2S  45.0E   0   68             
 09  -30  -0431 Sep 12  16:53:58  15459 -30059   P   -1.1012  0.8209  60.9S  88.0W   0   77             
 10  -29  -0413 Sep 24  01:14:10  15216 -29836   P   -1.0760  0.8671  60.8S 137.2E   0   86             

 11  -28  -0395 Oct 04  09:41:25  14976 -29613   P   -1.0569  0.9014  60.8S   0.7E   0   95             
 12  -27  -0377 Oct 15  18:15:21  14740 -29390   P   -1.0438  0.9244  60.9S 137.4W   0  104             
 13  -26  -0359 Oct 26  02:55:14  14508 -29167   P   -1.0362  0.9369  61.3S  82.9E   0  113             
 14  -25  -0341 Nov 06  11:39:10  14278 -28944   P   -1.0323  0.9426  61.8S  57.9W   0  123             
 15  -24  -0323 Nov 16  20:25:59  14052 -28721   P   -1.0315  0.9427  62.4S 160.4E   0  132             
 16  -23  -0305 Nov 28  05:14:09  13829 -28498   P   -1.0324  0.9400  63.2S  18.2E   0  142             
 17  -22  -0287 Dec 08  14:02:31  13609 -28275   P   -1.0341  0.9359  64.1S 124.3W   0  152             
 18  -21  -0269 Dec 19  22:47:56  13392 -28052   P   -1.0343  0.9349  65.1S  93.5E   0  162             
 19  -20  -0251 Dec 30  07:30:44  13178 -27829   P   -1.0329  0.9369  66.2S  48.4W   0  173             
 20  -19  -0232 Jan 10  16:07:48  12966 -27606   P   -1.0278  0.9461  67.3S 170.7E   0  184             

 21  -18  -0214 Jan 21  00:38:49  12757 -27383   P   -1.0182  0.9634  68.3S  30.8E   0  195             
 22  -17  -0196 Feb 01  09:01:17  12551 -27160   P   -1.0024  0.9924  69.3S 107.6W   0  207             
 23  -16  -0178 Feb 11  17:16:19  12347 -26937   T   -0.9813  1.0078  76.5S  86.7E  10  247  153  00m26s
 24  -15  -0160 Feb 23  01:22:05  12146 -26714   T   -0.9536  1.0099  74.2S  77.9W  17  288  117  00m36s
 25  -14  -0142 Mar 05  09:17:45  11947 -26491   T   -0.9180  1.0118  67.5S 138.4E  23  311  103  00m46s
 26  -13  -0124 Mar 15  17:04:11  11750 -26268   T   -0.8757  1.0131  59.5S   7.6E  28  323   93  00m56s
 27  -12  -0106 Mar 27  00:41:08  11555 -26045   T   -0.8261  1.0142  51.0S 116.4W  34  331   86  01m07s
 28  -11  -0088 Apr 06  08:09:48  11363 -25822   T   -0.7707  1.0148  42.5S 123.9E  39  336   79  01m16s
 29  -10  -0070 Apr 17  15:29:01  11172 -25599   T   -0.7084  1.0149  34.0S   7.8E  45  341   72  01m22s
 30  -09  -0052 Apr 27  22:41:58  10983 -25376   T   -0.6416  1.0143  25.7S 105.7W  50  345   63  01m25s

 31  -08  -0034 May 09  05:47:57  10796 -25153   H   -0.5697  1.0131  17.7S 143.3E  55  348   55  01m23s
 32  -07  -0016 May 19  12:49:09  10611 -24930   H   -0.4948  1.0112  10.1S  34.3E  60  352   44  01m15s
 33  -06   0002 May 30  19:45:43  10427 -24707   H   -0.4168  1.0087   3.1S  72.8W  65  356   33  01m00s
 34  -05   0020 Jun 10  02:40:35  10245 -24484   H   -0.3383  1.0055   3.2N 178.7W  70  360   20  00m38s
 35  -04   0038 Jun 21  09:34:16  10065 -24261   H   -0.2595  1.0016   8.7N  76.4E  75    4    6  00m11s
 36  -03   0056 Jul 01  16:27:58   9885 -24038   A   -0.1816  0.9972  13.2N  27.6W  80    8   10  00m20s
 37  -02   0074 Jul 12  23:23:58   9707 -23815   Am  -0.1064  0.9922  16.7N 131.7W  84   13   27  00m52s
 38  -01   0092 Jul 23  06:23:12   9531 -23592   A   -0.0345  0.9868  19.0N 124.0E  88   18   46  01m26s
 39   00   0110 Aug 03  13:27:32   9355 -23369   A    0.0323  0.9812  20.1N  18.7E  88  200   67  02m00s
 40   01   0128 Aug 13  20:36:30   9180 -23146   A    0.0943  0.9752  20.3N  87.8W  84  204   89  02m35s


Catalog of Solar Eclipse Saros 76

                          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   02   0146 Aug 25  03:52:42   9006 -22923   A    0.1497  0.9692  19.4N 163.7E  81  207  112  03m11s
 42   03   0164 Sep 04  11:15:41   8833 -22700   A    0.1987  0.9632  17.8N  53.1E  78  209  136  03m48s
 43   04   0182 Sep 15  18:45:44   8661 -22477   A    0.2409  0.9574  15.6N  59.5W  76  210  159  04m27s
 44   05   0200 Sep 26  02:23:46   8490 -22254   A    0.2758  0.9517  13.0N 174.6W  74  210  183  05m08s
 45   06   0218 Oct 07  10:08:56   8319 -22031   A    0.3038  0.9465  10.2N  68.3E  72  209  205  05m51s
 46   07   0236 Oct 17  18:01:50   8148 -21808   A    0.3248  0.9417   7.4N  51.1W  71  207  226  06m37s
 47   08   0254 Oct 29  01:58:53   7978 -21585   A    0.3418  0.9374   4.7N 171.5W  70  205  246  07m23s
 48   09   0272 Nov 08  10:02:12   7808 -21362   A    0.3528  0.9337   2.2N  66.4E  69  201  262  08m10s
 49   10   0290 Nov 19  18:07:55   7639 -21139   A    0.3609  0.9307   0.3N  56.2W  69  198  276  08m56s
 50   11   0308 Nov 30  02:16:27   7469 -20916   A    0.3664  0.9284   1.1S 179.5W  69  194  288  09m37s

 51   12   0326 Dec 11  10:23:27   7300 -20693   A    0.3724  0.9267   1.7S  57.7E  68  189  296  10m11s
 52   13   0344 Dec 21  18:30:19   7131 -20470   A    0.3783  0.9258   1.5S  65.2W  68  185  302  10m34s
 53   14   0363 Jan 02  02:32:58   6961 -20247   A    0.3870  0.9254   0.3S 173.0E  67  180  305  10m44s
 54   15   0381 Jan 12  10:30:55   6791 -20024   A    0.3991  0.9256   1.9N  52.1E  66  176  305  10m40s
 55   16   0399 Jan 23  18:21:42   6621 -19801   A    0.4165  0.9263   5.2N  67.3W  65  172  304  10m25s
 56   17   0417 Feb 03  02:05:28   6451 -19578   A    0.4393  0.9274   9.4N 174.6E  64  169  302  09m59s
 57   18   0435 Feb 14  09:39:34   6280 -19355   A    0.4697  0.9289  14.5N  58.6E  62  166  300  09m26s
 58   19   0453 Feb 24  17:04:40   6109 -19132   A    0.5070  0.9305  20.6N  55.7W  59  163  299  08m48s
 59   20   0471 Mar 08  00:19:40   5936 -18909   A    0.5522  0.9323  27.4N 167.9W  56  160  301  08m07s
 60   21   0489 Mar 18  07:26:06   5764 -18686   A    0.6038  0.9340  35.0N  81.5E  53  158  306  07m25s

 61   22   0507 Mar 29  14:20:55   5590 -18463   A    0.6647  0.9356  43.3N  26.9W  48  156  318  06m42s
 62   23   0525 Apr 08  21:08:45   5416 -18240   A    0.7309  0.9369  52.4N 134.4W  43  153  342  06m01s
 63   24   0543 Apr 20  03:47:29   5240 -18017   A    0.8044  0.9378  62.4N 118.0E  36  148  389  05m23s
 64   25   0561 Apr 30  10:21:38   5062 -17794   A    0.8811  0.9379  73.1N   3.8E  28  135  491  04m48s
 65   26   0579 May 11  16:48:05   4882 -17571   A    0.9638  0.9365  80.3N 163.5W  15   67  926  04m15s
 66   27   0597 May 21  23:13:25   4702 -17348   P    1.0472  0.8815  68.5N  45.8E   0   15             
 67   28   0615 Jun 02  05:35:00   4553 -17125   P    1.1337  0.7339  67.4N  61.3W   0    4             
 68   29   0633 Jun 12  11:57:22   4410 -16902   P    1.2191  0.5877  66.4N 168.2W   0  354             
 69   30   0651 Jun 23  18:19:23   4263 -16679   P    1.3048  0.4409  65.4N  85.5E   0  344             
 70   31   0669 Jul 04  00:46:07   4084 -16456   P    1.3865  0.3008  64.5N  21.8W   0  335             

 71   32   0687 Jul 15  07:16:25   3904 -16233   P    1.4655  0.1655  63.7N 129.7W   0  325             
 72   33   0705 Jul 25  13:52:37   3735 -16010   Pe   1.5397  0.0384  62.9N 121.2E   0  316             


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