Saros Series Catalog of Solar Eclipses

Saros Series 115

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 115

Solar eclipses of Saros 115 all occur at the Moon’s ascending node and the Moon moves southward with each eclipse. The series began with a partial eclipse in the northern hemisphere on 0662 Jun 21. The series ended with a partial eclipse in the southern hemisphere on 1942 Aug 12. The total duration of Saros series 115 is 1280.14 years. In summary:

                      First Eclipse =   0662 Jun 21   15:58:36 TD
                       Last Eclipse =   1942 Aug 12   02:45:12 TD

                      Duration of Saros 115  =  1280.14 Years

Saros 115 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 115
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 17 23.6%
AnnularA 14 19.4%
TotalT 37 51.4%
Hybrid[3]H 4 5.6%

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 115 appears in the following table.

Umbral Eclipses of Saros 115
Classification Number Percent
All Umbral Eclipses 55100.0%
Central (two limits) 55100.0%
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 115: 10P 37T 4H 14A 7P

The longest and shortest central eclipses of Saros 115 as well as largest and smallest partial eclipses are listed in the below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 115
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 1816 May 2701m54s -
Shortest Annular Solar Eclipse 1581 Dec 2500m04s -
Longest Total Solar Eclipse 1293 Jul 0506m24s -
Shortest Total Solar Eclipse 0842 Oct 0701m30s -
Longest Hybrid Solar Eclipse 1509 Nov 1201m06s -
Shortest Hybrid Solar Eclipse 1563 Dec 1500m10s -
Largest Partial Solar Eclipse 0824 Sep 26 - 0.99287
Smallest Partial Solar Eclipse 0662 Jun 21 - 0.00295

Description of the Catalog of Solar Eclipses of Saros 115

The catalog below lists concise details and local circumstances at greatest eclipse[5] for every solar eclipse in Saros 115. 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 115.



Catalog of Solar Eclipses of Saros 115

                         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

06348 -36  0662 Jun 21  15:58:36   4133 -16543   Pb   1.5377  0.0030  66.0N 148.9E   0             
06394 -35  0680 Jul 01  23:10:18   3968 -16320   P    1.4605  0.1456  67.0N  29.8E   0             
06438 -34  0698 Jul 13  06:25:23   3806 -16097   P    1.3851  0.2855  68.0N  90.6W   0             
06481 -33  0716 Jul 23  13:47:09   3646 -15874   P    1.3140  0.4180  68.9N 146.8E   0             
06524 -32  0734 Aug 03  21:14:27   3488 -15651   P    1.2467  0.5437  69.9N  22.2E   0             
06566 -31  0752 Aug 14  04:50:37   3333 -15428   P    1.1859  0.6576  70.7N 105.2W   0             
06607 -30  0770 Aug 25  12:34:31   3180 -15205   P    1.1309  0.7603  71.3N 125.0E   0             
06648 -29  0788 Sep 04  20:26:59   3031 -14982   P    1.0824  0.8508  71.8N   7.6W   0             
06689 -28  0806 Sep 16  04:28:29   2884 -14759   P    1.0409  0.9284  72.0N 142.7W   0             
06730 -27  0824 Sep 26  12:39:01   2742 -14536   P    1.0062  0.9929  71.9N  79.8E   0             

06770 -26  0842 Oct 07  20:58:30   2602 -14313   T    0.9787  1.0229  65.2N  84.3W  11  403  01m30s
06810 -25  0860 Oct 18  05:25:01   2467 -14090   T    0.9565  1.0241  58.5N 134.0E  16  286  01m42s
06850 -24  0878 Oct 29  13:59:59   2335 -13867   T    0.9411  1.0246  53.5N   3.7W  19  250  01m50s
06890 -23  0896 Nov 08  22:40:33   2208 -13644   T    0.9297  1.0251  49.5N 140.8W  21  234  01m57s
06930 -22  0914 Nov 20  07:26:39   2084 -13421   T    0.9225  1.0258  46.5N  81.8E  22  229  02m04s
06970 -21  0932 Nov 30  16:15:34   1965 -13198   T    0.9174  1.0267  44.3N  55.9W  23  230  02m11s
07011 -20  0950 Dec 12  01:07:14   1851 -12975   T    0.9143  1.0281  42.9N 166.1E  24  237  02m19s
07052 -19  0968 Dec 22  09:58:17   1741 -12752   T    0.9105  1.0300  41.8N  28.3E  24  246  02m28s
07093 -18  0987 Jan 02  18:48:09   1636 -12529   T    0.9056  1.0323  41.2N 108.9W  25  257  02m37s
07135 -17  1005 Jan 13  03:34:49   1535 -12306   T    0.8978  1.0352  40.7N 115.1E  26  267  02m48s

07177 -16  1023 Jan 24  12:18:00   1439 -12083   T    0.8869  1.0385  40.5N  19.7W  27  276  03m00s
07219 -15  1041 Feb 03  20:54:13   1347 -11860   T    0.8704  1.0424  40.4N 152.0W  29  283  03m13s
07262 -14  1059 Feb 15  05:24:50   1260 -11637   T    0.8492  1.0465  40.6N  77.7E  32  287  03m26s
07306 -13  1077 Feb 25  13:47:25   1178 -11414   T    0.8214  1.0510  41.0N  49.7W  35  290  03m40s
07350 -12  1095 Mar 08  22:03:57   1100 -11191   T    0.7883  1.0553  41.8N 174.8W  38  291  03m54s
07396 -11  1113 Mar 19  06:10:38   1026 -10968   T    0.7471  1.0598  42.7N  63.6E  41  290  04m08s
07441 -10  1131 Mar 30  14:11:49    957 -10745   T    0.7012  1.0639  43.9N  55.8W  45  289  04m22s
07486 -09  1149 Apr 09  22:04:02    891 -10522   T    0.6479  1.0676  44.9N 171.9W  49  286  04m38s
07531 -08  1167 Apr 21  05:51:40    830 -10299   T    0.5906  1.0709  45.8N  73.9E  54  284  04m53s
07577 -07  1185 May 01  13:30:57    773 -10076   T    0.5264  1.0736  46.0N  37.2W  58  280  05m10s

07622 -06  1203 May 12  21:07:30    719  -9853   T    0.4596  1.0755  45.5N 147.2W  62  275  05m26s
07668 -05  1221 May 23  04:38:19    669  -9630   T    0.3885  1.0767  43.9N 104.3E  67  269  05m43s
07714 -04  1239 Jun 03  12:07:17    622  -9407   T    0.3157  1.0771  41.3N   4.2W  71  263  05m58s
07759 -03  1257 Jun 13  19:33:21    579  -9184   T    0.2409  1.0765  37.6N 112.8W  76  255  06m11s
07803 -02  1275 Jun 25  02:59:56    538  -8961   T    0.1668  1.0752  33.0N 137.5E  80  247  06m21s
07846 -01  1293 Jul 05  10:26:45    499  -8738   T    0.0933  1.0730  27.5N  26.7E  84  238  06m24s
07888  00  1311 Jul 16  17:55:04    464  -8515   Tm   0.0216  1.0700  21.4N  85.4W  89  228  06m20s
07929  01  1329 Jul 27  01:26:16    430  -8292   T   -0.0471  1.0662  14.9N 160.9E  87  217  06m08s
07970  02  1347 Aug 07  09:01:38    399  -8069   T   -0.1116  1.0618   8.1N  45.7E  84  204  05m48s
08011  03  1365 Aug 17  16:41:46    369  -7846   T   -0.1716  1.0569   1.1N  71.2W  80  190  05m22s


Catalog of Solar Eclipses of Saros 115

                         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

08052  04  1383 Aug 29  00:27:38    342  -7623   T   -0.2262  1.0516   5.9S 170.2E  77  175  04m50s
08093  05  1401 Sep 08  08:20:21    315  -7400   T   -0.2746  1.0459  12.8S  49.9E  74  159  04m15s
08133  06  1419 Sep 19  16:20:21    291  -7177   T   -0.3162  1.0401  19.5S  72.1W  71  141  03m40s
08173  07  1437 Sep 30  00:26:45    267  -6954   T   -0.3519  1.0343  25.9S 164.7E  69  123  03m05s
08213  08  1455 Oct 11  08:40:44    245  -6731   T   -0.3809  1.0286  31.8S  40.2E  67  104  02m31s
08253  09  1473 Oct 21  17:01:28    224  -6508   T   -0.4040  1.0230  37.3S  85.1W  66   86  02m00s
08293  10  1491 Nov 02  01:28:47    204  -6285   T   -0.4209  1.0179  42.0S 148.9E  65   68  01m32s
08334  11  1509 Nov 12  10:00:15    186  -6062   H   -0.4338  1.0131  45.8S  23.2E  64   50  01m06s
08376  12  1527 Nov 23  18:36:38    169  -5839   H   -0.4422  1.0089  48.6S 102.5W  64   34  00m45s
08417  13  1545 Dec 04  03:15:42    153  -5616   H   -0.4480  1.0051  50.1S 132.1E  63   20  00m25s

08458  14  1563 Dec 15  11:55:49    139  -5393   H   -0.4524  1.0020  50.3S   6.8E  63    8  00m10s
08499  15  1581 Dec 25  20:35:20    128  -5170   A   -0.4567  0.9993  49.4S 118.5W  63    3  00m04s
08540  16  1600 Jan 16  05:12:46    118  -4947   A   -0.4623  0.9972  47.4S 115.9E  62   11  00m14s
08582  17  1618 Jan 26  13:46:44     97  -4724   A   -0.4700  0.9955  44.7S   9.7W  62   18  00m23s
08626  18  1636 Feb 06  22:14:33     70  -4501   A   -0.4825  0.9943  41.6S 134.7W  61   23  00m29s
08672  19  1654 Feb 17  06:36:38     43  -4278   A   -0.4991  0.9933  38.3S 100.9E  60   27  00m34s
08718  20  1672 Feb 28  14:50:43     21  -4055   A   -0.5218  0.9926  35.2S  22.0W  58   30  00m38s
08763  21  1690 Mar 10  22:56:00      9  -3832   A   -0.5512  0.9920  32.5S 143.0W  56   33  00m42s
08808  22  1708 Mar 22  06:51:37      9  -3609   A   -0.5879  0.9913  30.4S  98.3E  54   37  00m46s
08853  23  1726 Apr 02  14:38:16     10  -3386   A   -0.6313  0.9906  29.2S  18.3W  51   42  00m52s

08899  24  1744 Apr 12  22:15:24     12  -3163   A   -0.6819  0.9895  29.1S 132.6W  47   49  00m59s
08944  25  1762 Apr 24  05:42:10     15  -2940   A   -0.7402  0.9881  30.3S 115.6E  42   61  01m08s
08990  26  1780 May 04  13:00:42     17  -2717   A   -0.8043  0.9861  33.3S   5.9E  36   81  01m21s
09035  27  1798 May 15  20:10:32     14  -2494   A   -0.8744  0.9832  38.6S 101.6W  29  121  01m36s
09080  28  1816 May 27  03:13:24     12  -2271   A   -0.9492  0.9791  48.0S 153.5E  18  238  01m54s
09125  29  1834 Jun 07  10:08:38      6  -2048   P   -1.0291  0.9295  64.6S  55.4E   0             
09169  30  1852 Jun 17  16:59:50      7  -1825   P   -1.1111  0.7828  65.6S  57.3W   0             
09211  31  1870 Jun 28  23:46:43      0  -1602   P   -1.1949  0.6335  66.6S 169.4W   0             
09253  32  1888 Jul 09  06:30:52     -6  -1379   P   -1.2797  0.4832  67.6S  78.8E   0             
09295  33  1906 Jul 21  13:14:19      6  -1156   P   -1.3637  0.3355  68.6S  33.3W   0             

09337  34  1924 Jul 31  19:58:20     24   -933   P   -1.4459  0.1920  69.6S 146.0W   0             
09380  35  1942 Aug 12  02:45:12     26   -710   Pe  -1.5244  0.0561  70.4S  99.9E   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)"


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Saros Series Catalog of Solar Eclipses

Periodicity of Solar Eclipses

Five Millennium Catalog of Solar Eclipses

2009 Sep 26