Catalog of Solar Eclipse Saros Series

Saros Series 176

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 176 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 2608 Jun 04. The series will end with a partial eclipse in the northern hemisphere on 3870 Jul 12. The total duration of Saros series 176 is 1262.11 years. In summary:

                      First Eclipse =  2608 Jun 04   23:55:35 TD
                       Last Eclipse =  3870 Jul 12   06:29:59 TD

                      Duration of Saros 176  =  1262.11 Years

Saros 176 is composed of 71 solar eclipses as follows:

Solar Eclipses of Saros 176
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PartialP 16 22.5%
AnnularA 10 14.1%
TotalT 43 60.6%
Hybrid[3]H 2 2.8%

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 176 appears in the following table.

Umbral Eclipses of Saros 176
Classification Number Percent
All Umbral Eclipses 55100.0%
Central (two limits) 53 96.4%
Central (one limit) 1 1.8%
Non-Central (one limit) 1 1.8%

The following string illustrates the sequence of the 71 eclipses in Saros 176: 7P 43T 2H 10A 9P

The longest and shortest eclipses of Saros 176 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:    3221 Jun 12      Duration = 06m40s
         Shortest  Total  Solar Eclipse:    3491 Nov 24      Duration = 01m11s

          Longest Annular Solar Eclipse:    3690 Mar 24      Duration = 01m51s
         Shortest Annular Solar Eclipse:    3545 Dec 27      Duration = 00m21s

          Longest Hybrid  Solar Eclipse:    3509 Dec 05      Duration = 00m39s
         Shortest Hybrid  Solar Eclipse:    3527 Dec 16      Duration = 00m07s

          Largest Partial Solar Eclipse:    3726 Apr 15     Magnitude = 0.9153
         Smallest Partial Solar Eclipse:    2608 Jun 04     Magnitude = 0.0294

Local circumstances at greatest eclipse[4] for every eclipse of Saros 176 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 176 Animation.



Catalog of Solar Eclipse Saros 176

                          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  -36   2608 Jun 04  23:55:35   1964   7525   Pb  -1.5249  0.0294  67.5S 168.1W   0  358             
 02  -35   2626 Jun 16  07:13:26   2055   7748   P   -1.4523  0.1621  66.5S  72.1E   0    8             
 03  -34   2644 Jun 26  14:29:01   2149   7971   P   -1.3767  0.3016  65.5S  46.7W   0   18             
 04  -33   2662 Jul 07  21:43:23   2245   8194   P   -1.2992  0.4460  64.6S 164.8W   0   27             
 05  -32   2680 Jul 18  04:58:41   2343   8417   P   -1.2212  0.5923  63.7S  77.3E   0   37             
 06  -31   2698 Jul 29  12:15:55   2443   8640   P   -1.1437  0.7385  63.0S  40.9W   0   46             
 07  -30   2716 Aug 09  19:35:30   2545   8863   P   -1.0674  0.8829  62.3S 159.5W   0   55             
 08  -29   2734 Aug 21  02:59:13   2649   9086   Ts  -0.9937  1.0332  59.4S  89.8E   5   56   -   02m08s
 09  -28   2752 Aug 31  10:28:18   2755   9309   T   -0.9236  1.0394  49.4S   6.1W  22   44  339  02m46s
 10  -27   2770 Sep 11  18:04:10   2864   9532   T   -0.8583  1.0422  45.8S 115.7W  31   43  269  03m00s

 11  -26   2788 Sep 22  01:45:51   2974   9755   T   -0.7971  1.0439  44.4S 131.7E  37   42  238  03m08s
 12  -25   2806 Oct 03  09:36:12   3086   9978   T   -0.7426  1.0447  44.5S  16.3E  42   42  219  03m10s
 13  -24   2824 Oct 13  17:34:17   3201  10201   T   -0.6942  1.0449  45.7S 101.0W  46   41  205  03m10s
 14  -23   2842 Oct 25  01:41:24   3317  10424   T   -0.6527  1.0447  47.5S 139.8E  49   39  195  03m09s
 15  -22   2860 Nov 04  09:55:28   3436  10647   T   -0.6168  1.0441  49.6S  19.3E  52   35  186  03m07s
 16  -21   2878 Nov 15  18:18:28   3557  10870   T   -0.5879  1.0435  51.7S 102.6W  54   31  179  03m04s
 17  -20   2896 Nov 26  02:48:19   3680  11093   T   -0.5647  1.0427  53.6S 134.7E  55   26  173  03m02s
 18  -19   2914 Dec 08  11:24:42   3805  11316   T   -0.5469  1.0422  55.0S  11.2E  57   19  169  03m02s
 19  -18   2932 Dec 18  20:06:44   3931  11539   T   -0.5336  1.0418  55.4S 113.0W  57   11  166  03m01s
 20  -17   2950 Dec 30  04:53:21   4060  11762   T   -0.5243  1.0417  54.9S 121.7E  58    3  164  03m03s

 21  -16   2969 Jan 09  13:43:10   4192  11985   T   -0.5176  1.0420  53.3S   4.9W  59  356  164  03m06s
 22  -15   2987 Jan 20  22:33:24   4325  12208   T   -0.5111  1.0427  50.6S 132.7W  59  350  166  03m13s
 23  -14   3005 Feb 01  07:24:50   4460  12431   T   -0.5057  1.0439  47.1S  97.9E  59  345  170  03m21s
 24  -13   3023 Feb 12  16:14:22   4597  12654   T   -0.4990  1.0455  42.9S  32.4W  60  342  175  03m32s
 25  -12   3041 Feb 23  01:01:12   4737  12877   T   -0.4898  1.0475  38.2S 163.1W  60  341  181  03m47s
 26  -11   3059 Mar 06  09:43:13   4878  13100   T   -0.4765  1.0499  33.0S  66.5E  61  340  188  04m04s
 27  -10   3077 Mar 16  18:20:47   5022  13323   T   -0.4596  1.0526  27.6S  63.4W  62  340  195  04m24s
 28  -09   3095 Mar 28  02:51:53   5167  13546   T   -0.4371  1.0555  21.9S 167.8E  64  341  203  04m47s
 29  -08   3113 Apr 08  11:15:45   5315  13769   T   -0.4088  1.0585  16.1S  40.6E  66  343  210  05m11s
 30  -07   3131 Apr 19  19:32:35   5465  13992   T   -0.3744  1.0616  10.2S  84.9W  68  345  217  05m35s

 31  -06   3149 Apr 30  03:41:55   5616  14215   T   -0.3337  1.0645   4.3S 151.6E  70  348  223  05m58s
 32  -05   3167 May 11  11:43:44   5770  14438   T   -0.2868  1.0672   1.4N  30.3E  73  351  229  06m18s
 33  -04   3185 May 21  19:38:05   5926  14661   T   -0.2338  1.0694   6.9N  88.8W  77  354  232  06m32s
 34  -03   3203 Jun 02  03:26:13   6084  14884   T   -0.1756  1.0713  12.1N 154.2E  80  358  235  06m40s
 35  -02   3221 Jun 12  11:08:26   6244  15107   T   -0.1125  1.0724  16.7N  39.3E  84    2  237  06m40s
 36  -01   3239 Jun 23  18:44:34   6406  15330   Tm  -0.0445  1.0730  20.8N  73.5W  88    7  237  06m34s
 37   00   3257 Jul 04  02:17:24   6571  15553   T    0.0260  1.0728  24.2N 175.2E  88  191  237  06m22s
 38   01   3275 Jul 15  09:46:23   6737  15776   T    0.0997  1.0719  26.8N  65.5E  84  196  235  06m05s
 39   02   3293 Jul 25  17:14:44   6905  15999   T    0.1736  1.0701  28.5N  43.8W  80  201  232  05m46s
 40   03   3311 Aug 07  00:40:32   7076  16222   T    0.2492  1.0676  29.6N 152.2W  75  205  228  05m26s


Catalog of Solar Eclipse Saros 176

                          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   04   3329 Aug 17  08:08:47   7248  16445   T    0.3225  1.0643  29.9N  98.8E  71  208  222  05m04s
 42   05   3347 Aug 28  15:37:09   7423  16668   T    0.3954  1.0602  29.8N  10.5W  67  211  214  04m43s
 43   06   3365 Sep 07  23:09:08   7600  16891   T    0.4647  1.0556  29.4N 121.0W  62  213  205  04m21s
 44   07   3383 Sep 19  06:43:36   7778  17114   T    0.5314  1.0503  29.0N 127.4E  58  213  194  03m58s
 45   08   3401 Sep 30  14:24:12   7959  17337   T    0.5924  1.0445  28.6N  13.8E  54  213  181  03m35s
 46   09   3419 Oct 11  22:09:26   8142  17560   T    0.6490  1.0384  28.5N 101.4W  49  212  166  03m09s
 47   10   3437 Oct 22  06:00:44   8327  17783   T    0.6999  1.0320  28.8N 141.4E  45  210  148  02m42s
 48   11   3455 Nov 02  13:58:22   8514  18006   T    0.7449  1.0256  29.5N  22.0E  42  207  128  02m13s
 49   12   3473 Nov 12  22:03:21   8703  18229   T    0.7827  1.0192  30.6N  99.8W  38  203  104  01m43s
 50   13   3491 Nov 24  06:14:27   8894  18452   T    0.8153  1.0129  32.2N 136.2E  35  199   76  01m11s

 51   14   3509 Dec 05  14:31:38   9087  18675   H    0.8419  1.0069  34.1N  10.2E  32  194   44  00m39s
 52   15   3527 Dec 16  22:54:31   9283  18898   H    0.8634  1.0013  36.3N 117.8W  30  189    9  00m07s
 53   16   3545 Dec 27  07:22:46   9480  19121   A    0.8797  0.9962  38.7N 112.3E  28  184   28  00m21s
 54   17   3564 Jan 07  15:53:54   9680  19344   A    0.8930  0.9917  41.3N  18.8W  26  179   65  00m46s
 55   18   3582 Jan 18  00:28:30   9881  19567   A    0.9029  0.9877  44.1N 151.1W  25  173  102  01m07s
 56   19   3600 Jan 29  09:03:39  10085  19790   A    0.9118  0.9842  47.2N  76.0E  24  167  137  01m24s
 57   20   3618 Feb 08  17:39:17  10290  20013   A    0.9198  0.9813  50.6N  57.4W  23  161  170  01m35s
 58   21   3636 Feb 20  02:11:09  10498  20236   A    0.9304  0.9788  54.8N 169.3E  21  154  207  01m44s
 59   22   3654 Mar 02  10:41:11  10708  20459   A    0.9419  0.9767  59.3N  35.1E  19  147  250  01m48s
 60   23   3672 Mar 12  19:05:03  10920  20682   A    0.9577  0.9747  64.6N 100.6W  16  136  321  01m50s

 61   24   3690 Mar 24  03:23:13  11134  20905   A    0.9777  0.9726  70.2N 116.6E  11  118  497  01m51s
 62   25   3708 Apr 04  11:32:40  11350  21128   A+   1.0042  0.9715  72.2N  54.0W   0   70   -     -   
 63   26   3726 Apr 15  19:35:03  11568  21351   P    1.0359  0.9153  71.7N 172.3E   0   57             
 64   27   3744 Apr 26  03:27:43  11788  21574   P    1.0746  0.8466  71.0N  41.7E   0   43             
 65   28   3762 May 07  11:10:54  12010  21797   P    1.1202  0.7657  70.2N  85.9W   0   31             
 66   29   3780 May 17  18:44:41  12235  22020   P    1.1727  0.6728  69.2N 149.6E   0   19             
 67   30   3798 May 29  02:09:38  12461  22243   P    1.2317  0.5683  68.2N  27.8E   0    8             
 68   31   3816 Jun 09  09:25:38  12690  22466   P    1.2968  0.4530  67.1N  91.1W   0  357             
 69   32   3834 Jun 20  16:33:34  12920  22689   P    1.3675  0.3280  66.1N 152.5E   0  347             
 70   33   3852 Jun 30  23:34:40  13153  22912   P    1.4427  0.1955  65.2N  38.2E   0  337             

 71   34   3870 Jul 12  06:29:59  13387  23135   Pe   1.5216  0.0569  64.3N  74.3W   0  328             


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