Catalog of Solar Eclipse Saros Series

Saros Series 160

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 160 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 2181 May 13. The series will end with a partial eclipse in the northern hemisphere on 3443 Jun 20. The total duration of Saros series 160 is 1262.11 years. In summary:

                      First Eclipse =  2181 May 13   14:55:43 TD
                       Last Eclipse =  3443 Jun 20   14:48:56 TD

                      Duration of Saros 160  =  1262.11 Years

Saros 160 is composed of 71 solar eclipses as follows:

Solar Eclipses of Saros 160
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PartialP 26 36.6%
AnnularA 20 28.2%
TotalT 22 31.0%
Hybrid[3]H 3 4.2%

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 160 appears in the following table.

Umbral Eclipses of Saros 160
Classification Number Percent
All Umbral Eclipses 45100.0%
Central (two limits) 44 97.8%
Central (one limit) 0 0.0%
Non-Central (one limit) 1 2.2%

The following string illustrates the sequence of the 71 eclipses in Saros 160: 7P 20A 3H 22T 19P

The longest and shortest eclipses of Saros 160 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:    2866 Jul 03      Duration = 04m59s
         Shortest  Total  Solar Eclipse:    2722 Apr 08      Duration = 02m06s

          Longest Annular Solar Eclipse:    2307 Jul 30      Duration = 03m37s
         Shortest Annular Solar Eclipse:    2650 Feb 22      Duration = 00m09s

          Longest Hybrid  Solar Eclipse:    2704 Mar 27      Duration = 01m29s
         Shortest Hybrid  Solar Eclipse:    2668 Mar 05      Duration = 00m21s

          Largest Partial Solar Eclipse:    3118 Dec 05     Magnitude = 0.9677
         Smallest Partial Solar Eclipse:    3443 Jun 20     Magnitude = 0.0482

Local circumstances at greatest eclipse[4] for every eclipse of Saros 160 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 160 Animation.



Catalog of Solar Eclipse Saros 160

                          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  -34   2181 May 13  14:55:43    397   2243   Pb  -1.5323  0.0510  69.4S  16.9W   0  335             
 02  -33   2199 May 24  21:42:07    440   2466   P   -1.4596  0.1742  68.5S 130.1W   0  347             
 03  -32   2217 Jun 05  04:22:20    485   2689   P   -1.3807  0.3094  67.5S 118.9E   0  357             
 04  -31   2235 Jun 16  11:00:36    531   2912   P   -1.2990  0.4502  66.5S   8.8E   0    8             
 05  -30   2253 Jun 26  17:36:11    580   3135   P   -1.2139  0.5981  65.5S 100.1W   0   18             
 06  -29   2271 Jul 08  00:13:02    631   3358   P   -1.1284  0.7474  64.5S 151.1E   0   27             
 07  -28   2289 Jul 18  06:50:58    684   3581   P   -1.0426  0.8980  63.6S  42.3E   0   37             
 08  -27   2307 Jul 30  13:31:16    739   3804   A   -0.9574  0.9602  50.0S  48.7W  16   30  501  03m37s
 09  -26   2325 Aug 09  20:16:24    796   4027   A   -0.8749  0.9648  40.3S 146.1W  29   30  256  03m24s
 10  -25   2343 Aug 21  03:07:05    855   4250   A   -0.7957  0.9679  35.1S 112.8E  37   31  186  03m09s

 11  -24   2361 Aug 31  10:04:30    917   4473   A   -0.7211  0.9701  32.2S   9.7E  44   33  151  02m54s
 12  -23   2379 Sep 11  17:09:32    980   4696   A   -0.6518  0.9717  30.9S  95.4W  49   34  130  02m42s
 13  -22   2397 Sep 22  00:23:55   1046   4919   A   -0.5892  0.9728  30.9S 157.2E  54   34  118  02m34s
 14  -21   2415 Oct 03  07:47:48   1113   5142   A   -0.5335  0.9736  31.8S  47.4E  58   34  110  02m27s
 15  -20   2433 Oct 13  15:20:16   1183   5365   A   -0.4840  0.9742  33.4S  64.2W  61   33  104  02m23s
 16  -19   2451 Oct 24  23:03:09   1254   5588   A   -0.4424  0.9746  35.3S 178.3W  64   31  101  02m21s
 17  -18   2469 Nov 04  06:55:37   1328   5811   A   -0.4081  0.9750  37.5S  65.7E  66   29   97  02m19s
 18  -17   2487 Nov 15  14:57:35   1404   6034   A   -0.3807  0.9756  39.5S  52.3W  67   25   94  02m16s
 19  -16   2505 Nov 26  23:07:04   1482   6257   A   -0.3588  0.9763  41.2S 171.6W  69   20   91  02m13s
 20  -15   2523 Dec 08  07:24:54   1561   6480   A   -0.3431  0.9774  42.4S  67.5E  70   15   86  02m08s

 21  -14   2541 Dec 18  15:48:55   1643   6703   A   -0.3319  0.9788  42.8S  54.7W  70    9   80  02m01s
 22  -13   2559 Dec 30  00:17:19   1728   6926   A   -0.3237  0.9808  42.2S 177.9W  71    3   72  01m50s
 23  -12   2578 Jan 09  08:49:00   1814   7149   A   -0.3176  0.9831  40.7S  57.7E  71  357   63  01m37s
 24  -11   2596 Jan 20  17:22:01   1902   7372   A   -0.3119  0.9862  38.3S  67.6W  72  352   51  01m20s
 25  -10   2614 Feb 01  01:55:16   1992   7595   A   -0.3058  0.9897  35.0S 166.3E  72  348   38  01m00s
 26  -09   2632 Feb 12  10:25:37   2085   7818   A   -0.2969  0.9938  30.9S  40.1E  73  345   23  00m36s
 27  -08   2650 Feb 22  18:53:59   2179   8041   A   -0.2856  0.9984  26.2S  86.4W  73  343    6  00m09s
 28  -07   2668 Mar 05  03:17:08   2276   8264   H   -0.2697  1.0035  21.0S 147.7E  74  342   13  00m21s
 29  -06   2686 Mar 16  11:34:58   2374   8487   H   -0.2486  1.0090  15.4S  22.6E  76  342   32  00m54s
 30  -05   2704 Mar 27  19:45:56   2475   8710   H   -0.2211  1.0148   9.5S 101.1W  77  342   52  01m29s

 31  -04   2722 Apr 08  03:51:03   2577   8933   T   -0.1881  1.0208   3.5S 136.6E  79  343   72  02m06s
 32  -03   2740 Apr 18  11:49:23   2682   9156   T   -0.1487  1.0268   2.7N  15.9E  81  345   92  02m43s
 33  -02   2758 Apr 29  19:40:31   2789   9379   T   -0.1026  1.0328   8.9N 102.7W  84  347  111  03m18s
 34  -01   2776 May 10  03:25:50   2898   9602   T   -0.0507  1.0386  14.9N 140.5E  87  350  130  03m50s
 35   00   2794 May 21  11:05:18   3009   9825   T    0.0070  1.0441  20.7N  25.6E  89  175  147  04m16s
 36   01   2812 May 31  18:39:58   3122  10048   Tm   0.0694  1.0493  26.2N  87.3W  86  178  164  04m36s
 37   02   2830 Jun 12  02:09:55   3237  10271   T    0.1365  1.0538  31.1N 161.8E  82  182  180  04m50s
 38   03   2848 Jun 22  09:37:37   3355  10494   T    0.2062  1.0578  35.3N  52.3E  78  187  195  04m57s
 39   04   2866 Jul 03  17:03:16   3474  10717   T    0.2785  1.0610  38.7N  55.8W  74  193  209  04m59s
 40   05   2884 Jul 14  00:27:39   3595  10940   T    0.3523  1.0635  41.3N 162.8W  69  199  222  04m58s


Catalog of Solar Eclipse Saros 160

                          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   06   2902 Jul 26  07:52:48   3719  11163   T    0.4260  1.0651  42.9N  90.4E  65  205  235  04m54s
 42   07   2920 Aug 05  15:19:10   3844  11386   T    0.4991  1.0660  43.8N  16.6W  60  210  248  04m48s
 43   08   2938 Aug 16  22:49:03   3972  11609   T    0.5697  1.0660  43.9N 124.7W  55  215  261  04m42s
 44   09   2956 Aug 27  06:20:57   4101  11832   T    0.6387  1.0653  43.8N 126.2E  50  218  274  04m34s
 45   10   2974 Sep 07  13:59:21   4233  12055   T    0.7028  1.0638  43.5N  14.9E  45  220  289  04m25s
 46   11   2992 Sep 17  21:42:08   4367  12278   T    0.7636  1.0617  43.5N  98.1W  40  221  307  04m16s
 47   12   3010 Sep 30  05:32:38   4503  12501   T    0.8180  1.0589  43.8N 146.3E  35  221  330  04m05s
 48   13   3028 Oct 10  13:28:55   4641  12724   T    0.8679  1.0556  44.9N  28.8E  29  221  362  03m53s
 49   14   3046 Oct 21  21:34:28   4781  12947   T    0.9104  1.0520  46.7N  91.6W  24  219  409  03m38s
 50   15   3064 Nov 01  05:46:35   4923  13170   T    0.9478  1.0479  49.8N 146.2E  18  217  497  03m20s

 51   16   3082 Nov 12  14:06:37   5067  13393   T    0.9789  1.0433  54.7N  22.5E  11  216  734  02m57s
 52   17   3100 Nov 23  22:33:38   5213  13616   T+   1.0045  1.0050  63.6N  98.5W   0  219   -     -   
 53   18   3118 Dec 05  07:08:23   5362  13839   P    1.0236  0.9677  64.5N 123.9E   0  209             
 54   19   3136 Dec 15  15:48:20   5512  14062   P    1.0390  0.9376  65.5N  15.2W   0  199             
 55   20   3154 Dec 27  00:33:10   5664  14285   P    1.0503  0.9153  66.5N 156.0W   0  188             
 56   21   3173 Jan 06  09:21:40   5819  14508   P    1.0588  0.8987  67.6N  61.8E   0  177             
 57   22   3191 Jan 17  18:13:12   5976  14731   P    1.0647  0.8871  68.7N  81.7W   0  166             
 58   23   3209 Jan 28  03:04:14   6134  14954   P    1.0711  0.8749  69.7N 134.3E   0  154             
 59   24   3227 Feb 08  11:55:28   6295  15177   P    1.0772  0.8632  70.6N  10.4W   0  141             
 60   25   3245 Feb 18  20:43:30   6458  15400   P    1.0861  0.8465  71.4N 154.9W   0  128             

 61   26   3263 Mar 02  05:29:09   6623  15623   P    1.0969  0.8265  71.9N  60.6E   0  114             
 62   27   3281 Mar 12  14:08:09   6790  15846   P    1.1129  0.7964  72.2N  82.6W   0  100             
 63   28   3299 Mar 23  22:43:04   6959  16069   P    1.1324  0.7600  72.3N 135.0E   0   85             
 64   29   3317 Apr 04  07:09:55   7130  16292   P    1.1584  0.7111  72.0N   5.2W   0   71             
 65   30   3335 Apr 15  15:30:11   7303  16515   P    1.1899  0.6518  71.6N 143.4W   0   57             
 66   31   3353 Apr 25  23:41:33   7478  16738   P    1.2286  0.5786  70.9N  81.1E   0   44             
 67   32   3371 May 07  07:46:17   7655  16961   P    1.2726  0.4952  70.1N  52.0W   0   32             
 68   33   3389 May 17  15:42:38   7835  17184   P    1.3232  0.3991  69.2N 177.6E   0   20             
 69   34   3407 May 29  23:31:28   8016  17407   P    1.3796  0.2919  68.2N  49.7E   0    9             
 70   35   3425 Jun 09  07:13:18   8200  17630   P    1.4414  0.1744  67.2N  76.0W   0  358             

 71   36   3443 Jun 20  14:48:56   8385  17853   Pe   1.5079  0.0482  66.2N 160.5E   0  348             


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