Catalog of Solar Eclipse Saros Series

Saros Series 58

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 58 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 -1114 Jun 07. The series ended with a partial eclipse in the northern hemisphere on 0166 Jul 14. The total duration of Saros series 58 is 1280.14 years. In summary:

                      First Eclipse = -1114 Jun 07   23:16:36 TD
                       Last Eclipse =  0166 Jul 14   23:46:42 TD

                      Duration of Saros  58  =  1280.14 Years

Saros 58 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 58
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 28 38.9%
AnnularA 44 61.1%
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 58 appears in the following table.

Umbral Eclipses of Saros 58
Classification Number Percent
All Umbral Eclipses 44100.0%
Central (two limits) 42 95.5%
Central (one limit) 1 2.3%
Non-Central (one limit) 1 2.3%

The following string illustrates the sequence of the 72 eclipses in Saros 58: 21P 44A 7P

The longest and shortest eclipses of Saros 58 as well as other eclipse extrema are listed below.

          Longest Annular Solar Eclipse:   -0177 Dec 22      Duration = 12m08s
         Shortest Annular Solar Eclipse:   -0735 Jan 21      Duration = 02m04s

          Largest Partial Solar Eclipse:   -0862 Nov 06     Magnitude = 0.9616
         Smallest Partial Solar Eclipse:    0166 Jul 14     Magnitude = 0.0170

Local circumstances at greatest eclipse[4] for every eclipse of Saros 58 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 058 Animation.



Catalog of Solar Eclipse Saros 58

                          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  -37  -1114 Jun 07  23:16:36  26536 -38510   Pb  -1.5122  0.0354  67.9S  46.6W   0  347             
 02  -36  -1096 Jun 18  06:37:55  26211 -38287   P   -1.4461  0.1636  67.0S 169.5W   0  357             
 03  -35  -1078 Jun 29  13:59:55  25887 -38064   P   -1.3808  0.2894  66.0S  67.9E   0    8             
 04  -34  -1060 Jul 09  21:26:24  25566 -37841   P   -1.3195  0.4067  65.0S  55.3W   0   18             
 05  -33  -1042 Jul 21  04:56:30  25246 -37618   P   -1.2617  0.5163  64.1S 179.1W   0   28             
 06  -32  -1024 Jul 31  12:33:16  24929 -37395   P   -1.2098  0.6136  63.3S  55.8E   0   37             
 07  -31  -1006 Aug 11  20:15:48  24613 -37172   P   -1.1631  0.7002  62.5S  70.5W   0   46             
 08  -30  -0988 Aug 22  04:05:11  24300 -36949   P   -1.1224  0.7744  61.8S 161.7E   0   56             
 09  -29  -0970 Sep 02  12:01:56  23989 -36726   P   -1.0884  0.8356  61.3S  32.3E   0   65             
 10  -28  -0952 Sep 12  20:06:34  23679 -36503   P   -1.0613  0.8832  60.9S  99.0W   0   74             

 11  -27  -0934 Sep 24  04:18:02  23372 -36280   P   -1.0405  0.9188  60.7S 128.2E   0   83             
 12  -26  -0916 Oct 04  12:36:34  23066 -36057   P   -1.0263  0.9422  60.7S   6.4W   0   92             
 13  -25  -0898 Oct 15  21:00:40  22763 -35834   P   -1.0172  0.9563  60.8S 142.3W   0  101             
 14  -24  -0880 Oct 26  05:30:05  22461 -35611   P   -1.0132  0.9612  61.1S  80.3E   0  110             
 15  -23  -0862 Nov 06  14:01:39  22162 -35388   P   -1.0119  0.9616  61.5S  57.6W   0  120             
 16  -22  -0844 Nov 16  22:36:23  21865 -35165   P   -1.0139  0.9562  62.2S 163.5E   0  129             
 17  -21  -0826 Nov 28  07:10:28  21569 -34942   P   -1.0166  0.9500  62.9S  24.6E   0  139             
 18  -20  -0808 Dec 08  15:43:51  21276 -34719   P   -1.0193  0.9441  63.8S 114.4W   0  149             
 19  -19  -0790 Dec 20  00:12:19  20984 -34496   P   -1.0187  0.9441  64.8S 107.6E   0  159             
 20  -18  -0772 Dec 30  08:37:21  20695 -34273   P   -1.0163  0.9477  65.8S  30.1W   0  169             

 21  -17  -0753 Jan 10  16:55:10  20408 -34050   P   -1.0091  0.9600  66.9S 166.3W   0  180             
 22  -16  -0735 Jan 21  01:05:13  20122 -33827   As  -0.9961  0.9621  70.4S  57.5E   3  193   -   02m04s
 23  -15  -0717 Feb 01  09:05:52  19839 -33604   A   -0.9766  0.9643  78.7S  97.9W  12  226  644  02m07s
 24  -14  -0699 Feb 11  16:57:17  19556 -33381   A   -0.9500  0.9659  78.5S  93.3E  18  275  405  02m11s
 25  -13  -0681 Feb 23  00:38:26  19250 -33158   A   -0.9160  0.9674  72.7S  54.1W  23  305  296  02m16s
 26  -12  -0663 Mar 05  08:08:37  18949 -32935   A   -0.8739  0.9688  64.8S 176.4E  29  319  231  02m22s
 27  -11  -0645 Mar 16  15:28:41  18652 -32712   A   -0.8244  0.9699  56.3S  55.4E  34  327  190  02m29s
 28  -10  -0627 Mar 26  22:38:48  18360 -32489   A   -0.7674  0.9709  47.5S  60.5W  40  333  161  02m38s
 29  -09  -0609 Apr 07  05:39:06  18073 -32266   A   -0.7033  0.9715  38.6S 172.6W  45  337  142  02m49s
 30  -08  -0591 Apr 17  12:31:12  17790 -32043   A   -0.6331  0.9716  29.8S  78.3E  51  341  130  03m03s

 31  -07  -0573 Apr 28  19:16:00  17512 -31820   A   -0.5575  0.9713  21.1S  28.1W  56  344  123  03m19s
 32  -06  -0555 May 09  01:55:29  17238 -31597   A   -0.4784  0.9704  12.7S 132.6W  61  347  120  03m38s
 33  -05  -0537 May 20  08:29:05  16968 -31374   A   -0.3950  0.9690   4.7S 125.2E  67  351  121  03m58s
 34  -04  -0519 May 30  15:00:44  16703 -31151   A   -0.3107  0.9671   2.8N  24.2E  72  354  125  04m19s
 35  -03  -0501 Jun 10  21:30:01  16441 -30928   A   -0.2247  0.9647   9.6N  75.4W  77  358  131  04m40s
 36  -02  -0483 Jun 21  04:00:44  16183 -30705   A   -0.1407  0.9618  15.6N 174.4W  82    2  140  04m58s
 37  -01  -0465 Jul 02  10:31:43  15930 -30482   Am  -0.0573  0.9584  20.6N  87.3E  87    7  152  05m16s
 38   00  -0447 Jul 12  17:07:51  15680 -30259   A    0.0214  0.9546  24.4N  11.4W  89  190  166  05m31s
 39   01  -0429 Jul 23  23:47:53  15434 -30036   A    0.0966  0.9505  27.1N 110.5W  84  196  182  05m48s
 40   02  -0411 Aug 03  06:34:26  15191 -29813   A    0.1660  0.9464  28.5N 149.1E  80  201  200  06m05s


Catalog of Solar Eclipse Saros 58

                          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   03  -0393 Aug 14  13:27:45  14952 -29590   A    0.2293  0.9419  28.8N  47.0E  77  205  220  06m25s
 42   04  -0375 Aug 24  20:29:30  14716 -29367   A    0.2851  0.9376  28.0N  57.6W  73  208  241  06m47s
 43   05  -0357 Sep 05  03:40:10  14484 -29144   A    0.3334  0.9333  26.4N 164.8W  70  211  262  07m13s
 44   06  -0339 Sep 15  10:58:24  14255 -28921   A    0.3753  0.9293  24.2N  85.5E  68  212  283  07m41s
 45   07  -0321 Sep 26  18:26:32  14029 -28698   A    0.4086  0.9256  21.6N  27.3W  66  212  303  08m14s
 46   08  -0303 Oct 07  02:02:17  13806 -28475   A    0.4353  0.9223  18.8N 142.4W  64  211  321  08m49s
 47   09  -0285 Oct 18  09:46:36  13586 -28252   A    0.4547  0.9195  15.9N 100.0E  63  209  337  09m27s
 48   10  -0267 Oct 28  17:36:16  13370 -28029   A    0.4695  0.9174  13.1N  19.2W  62  206  350  10m06s
 49   11  -0249 Nov 09  01:32:18  13156 -27806   A    0.4792  0.9158  10.6N 140.1W  61  203  360  10m44s
 50   12  -0231 Nov 19  09:31:10  12944 -27583   A    0.4864  0.9150   8.5N  98.3E  61  199  366  11m19s

 51   13  -0213 Nov 30  17:32:23  12736 -27360   A    0.4916  0.9148   7.0N  23.9W  61  195  370  11m47s
 52   14  -0195 Dec 11  01:33:19  12530 -27137   A    0.4971  0.9153   6.3N 146.0W  60  191  370  12m04s
 53   15  -0177 Dec 22  09:33:34  12326 -26914   A    0.5030  0.9165   6.4N  92.1E  60  186  367  12m08s
 54   16  -0158 Jan 01  17:29:28  12125 -26691   A    0.5128  0.9184   7.4N  28.9W  59  182  361  11m54s
 55   17  -0140 Jan 13  01:20:54  11926 -26468   A    0.5265  0.9208   9.6N 148.8W  58  178  352  11m25s
 56   18  -0122 Jan 23  09:05:39  11730 -26245   A    0.5456  0.9237  12.7N  92.6E  57  173  343  10m42s
 57   19  -0104 Feb 03  16:44:32  11535 -26022   A    0.5696  0.9270  16.8N  24.9W  55  170  332  09m50s
 58   20  -0086 Feb 14  00:13:10  11343 -25799   A    0.6022  0.9307  22.1N 140.3W  53  166  323  08m51s
 59   21  -0068 Feb 25  07:35:07  11152 -25576   A    0.6405  0.9345  28.2N 105.4E  50  162  315  07m51s
 60   22  -0050 Mar 07  14:46:58  10964 -25353   A    0.6874  0.9383  35.2N   7.1W  46  159  312  06m51s

 61   23  -0032 Mar 17  21:52:49  10777 -25130   A    0.7394  0.9421  43.1N 119.0W  42  155  314  05m54s
 62   24  -0014 Mar 29  04:48:09  10592 -24907   A    0.8002  0.9456  52.0N 130.0E  37  150  331  05m02s
 63   25   0004 Apr 08  11:39:14  10409 -24684   A    0.8647  0.9486  61.7N  16.5E  30  142  375  04m15s
 64   26   0022 Apr 19  18:22:41  10227 -24461   A    0.9361  0.9506  72.1N 109.1W  20  120  523  03m35s
 65   27   0040 Apr 30  01:03:17  10046 -24238   A+   1.0100  0.9522  70.5N  69.8E   0   43   -     -   
 66   28   0058 May 11  07:39:16   9867 -24015   P    1.0882  0.8176  69.7N  42.4W   0   31             
 67   29   0076 May 21  14:15:48   9689 -23792   P    1.1664  0.6818  68.8N 154.2W   0   20             
 68   30   0094 Jun 01  20:51:32   9512 -23569   P    1.2458  0.5428  67.8N  94.7E   0    9             
 69   31   0112 Jun 12  03:29:03   9337 -23346   P    1.3243  0.4048  66.8N  16.2W   0  358             
 70   32   0130 Jun 23  10:09:31   9162 -23123   P    1.4009  0.2693  65.8N 127.5W   0  348             

 71   33   0148 Jul 03  16:55:07   8988 -22900   P    1.4741  0.1394  64.9N 120.3E   0  339             
 72   34   0166 Jul 14  23:46:42   8816 -22677   Pe   1.5428  0.0170  64.0N   7.0E   0  329             


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