Catalog of Lunar Eclipse Saros Series

Saros Series 157

The periodicity and recurrence of lunar (and 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 15 centuries and contains 70 or more lunar eclipses.

Lunar eclipses of Saros 157 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series will begin with a penumbral eclipse near the southern edge of the penumbra on 2306 Mar 01. The series will end with a penumbral eclipse near the northern edge of the penumbra on 3604 Apr 27. The total duration of Saros series 157 is 1298.17 years. In summary:

                      First Eclipse =  2306 Mar 01   13:42:55 TD
                       Last Eclipse =  3604 Apr 27   09:28:09 TD

                      Duration of Saros 157  =  1298.17 Years

Saros 157 is composed of 73 lunar eclipses as follows:

Lunar Eclipses of Saros 157
Eclipse Type Symbol Number Percent
All Eclipses - 73100.0%
PenumbralN 33 45.2%
PartialP 14 19.2%
TotalT 26 35.6%

The 73 lunar eclipses in Saros 157 occur in the order of 11N 6P 26T 8P 22N which corresponds to:

                                    11  Penumbral
                                     6  Partial
                                    26  Total
                                     8  Partial
                                    22  Penumbral

The longest and shortest eclipses of Saros 157 are as follows.

            Longest  Total  Lunar Eclipse:    2792 Dec 20      Duration = 01h44m12s
           Shortest  Total  Lunar Eclipse:    2612 Sep 02      Duration = 00h12m00s

            Longest Partial Lunar Eclipse:    2594 Aug 22      Duration = 03h20m44s
           Shortest Partial Lunar Eclipse:    3207 Aug 29      Duration = 00h46m24s

          Longest Penumbral Lunar Eclipse:    2486 Jun 17      Duration = 04h43m04s
         Shortest Penumbral Lunar Eclipse:    2306 Mar 01      Duration = 00h47m30s

The largest and smallest magnitude partial eclipses of Saros 157 are:

            Largest Partial Lunar Eclipse:    3081 Jun 13      Magnitude = 0.9632
           Smallest Partial Lunar Eclipse:    3207 Aug 29      Magnitude = 0.0417

Local circumstances at greatest eclipse[2] for every lunar eclipse of Saros 157 are presented in the following catalog. For eclipses occurring between the years -1999 to +3000 (2000 BCE to 3000 CE), the sequence number in the first column links to a eclipse geometry diagram and a map from Five Millennium Canon of Lunar Eclipses: -1999 to +3000. A detailed key and additional information about the catalog can be found at: Key to Catalog of Lunar Eclipse Saros Series.



Catalog of Lunar Eclipses in Saros 157

                          TD of                                                          Phase
Seq. Rel.    Calendar   Greatest          Luna  Ecl.               Pen.    Um.    ---- Durations ---- 
Num. Num.      Date      Eclipse     ΔT    Num  Type QSE  Gamma    Mag.    Mag.    Pen.   Par.  Total
                                      s                                              m      m      m

 01  -29   2306 Mar 01  13:42:55    735   3786   N   t-  -1.5675  0.0238 -1.0597   47.5    -      -  
 02  -28   2324 Mar 11  21:29:30    792   4009   N   t-  -1.5451  0.0645 -1.0182   78.0    -      -  
 03  -27   2342 Mar 23  05:08:18    851   4232   N   t-  -1.5166  0.1161 -0.9654  104.3    -      -  
 04  -26   2360 Apr 02  12:35:50    912   4455   N   t-  -1.4797  0.1831 -0.8970  130.4    -      -  
 05  -25   2378 Apr 13  19:55:16    975   4678   N   t-  -1.4366  0.2615 -0.8170  154.9    -      -  
 06  -24   2396 Apr 24  03:03:43   1040   4901   N   t-  -1.3852  0.3549 -0.7219  179.1    -      -  
 07  -23   2414 May 05  10:04:13   1108   5124   N   t-  -1.3275  0.4600 -0.6152  202.2    -      -  
 08  -22   2432 May 15  16:54:29   1177   5347   N   t-  -1.2616  0.5802 -0.4934  224.6    -      -  
 09  -21   2450 May 26  23:38:32   1249   5570   N   t-  -1.1906  0.7097 -0.3626  245.5    -      -  
 10  -20   2468 Jun 06  06:15:13   1322   5793   N   t-  -1.1139  0.8499 -0.2213  265.1    -      -  

 11  -19   2486 Jun 17  12:46:55   1398   6016   N   t-  -1.0329  0.9982 -0.0722  283.1    -      -  
 12  -18   2504 Jun 28  19:14:33   1475   6239   P   t-  -0.9484  1.1530  0.0831  299.4   70.5    -  
 13  -17   2522 Jul 10  01:40:39   1555   6462   P   t-  -0.8624  1.3106  0.2409  313.8  117.4    -  
 14  -16   2540 Jul 20  08:06:21   1637   6685   P   t-  -0.7756  1.4701  0.4001  326.4  147.7    -  
 15  -15   2558 Jul 31  14:32:26   1721   6908   P   t-  -0.6888  1.6296  0.5590  337.3  170.3    -  
 16  -14   2576 Aug 10  21:01:26   1807   7131   P   t-  -0.6042  1.7854  0.7139  346.4  187.5    -  
 17  -13   2594 Aug 22  03:34:22   1895   7354   P   t-  -0.5225  1.9360  0.8632  353.8  200.7    -  
 18  -12   2612 Sep 02  10:12:37   1985   7577   T   t-  -0.4447  2.0795  1.0052  359.8  210.9   12.0
 19  -11   2630 Sep 13  16:57:18   2077   7800   T   t-  -0.3718  2.2141  1.1381  364.3  218.5   59.0
 20  -10   2648 Sep 23  23:50:09   2172   8023   T   t-  -0.3051  2.3373  1.2595  367.7  223.9   77.4

 21  -09   2666 Oct 05  06:52:02   2268   8246   T-  pp  -0.2457  2.4473  1.3675  370.1  227.7   88.3
 22  -08   2684 Oct 15  14:01:43   2366   8469   T-  pp  -0.1924  2.5462  1.4645  371.6  230.3   95.2
 23  -07   2702 Oct 27  21:21:47   2467   8692   T-  pp  -0.1470  2.6304  1.5467  372.5  231.8   99.4
 24  -06   2720 Nov 07  04:50:33   2569   8915   T-  pp  -0.1083  2.7023  1.6171  372.9  232.6  102.0
 25  -05   2738 Nov 18  12:29:42   2674   9138   T-  pp  -0.0776  2.7593  1.6726  372.9  232.9  103.3
 26  -04   2756 Nov 28  20:15:29   2781   9361   T-  pp  -0.0519  2.8069  1.7193  372.7  232.8  104.0
 27  -03   2774 Dec 10  04:10:47   2889   9584   T-  pp  -0.0334  2.8411  1.7531  372.2  232.6  104.2
 28  -02   2792 Dec 20  12:11:32   3000   9807   T-  pp  -0.0186  2.8682  1.7803  371.6  232.3  104.2
 29  -01   2810 Dec 31  20:18:19   3113  10030   T-  pp  -0.0081  2.8870  1.8000  370.8  231.9  104.1
 30   00   2829 Jan 11  04:27:25   3228  10253   T+  pp   0.0011  2.8992  1.8136  369.9  231.5  104.0

 31   01   2847 Jan 22  12:39:37   3345  10476   T+  pp   0.0084  2.8845  1.8011  368.8  231.1  103.9
 32   02   2865 Feb 01  20:51:00   3464  10699   T+  pp   0.0170  2.8673  1.7868  367.7  230.6  103.7
 33   03   2883 Feb 13  05:01:07   3586  10922   T+  pp   0.0274  2.8464  1.7695  366.4  230.2  103.5
 34   04   2901 Feb 24  13:07:56   3709  11145   T+  pp   0.0412  2.8191  1.7463  365.0  229.6  103.2
 35   05   2919 Mar 07  21:11:15   3834  11368   T+  pp   0.0585  2.7849  1.7170  363.4  229.0  102.8
 36   06   2937 Mar 18  05:07:34   3962  11591   T+  pp   0.0821  2.7389  1.6762  361.6  228.2  101.9
 37   07   2955 Mar 29  12:58:25   4091  11814   T+  pp   0.1108  2.6835  1.6265  359.6  227.1  100.5
 38   08   2973 Apr 08  20:41:47   4223  12037   T+  pp   0.1463  2.6152  1.5642  357.3  225.6   98.1
 39   09   2991 Apr 20  04:19:45   4356  12260   T+  pp   0.1872  2.5370  1.4921  354.6  223.6   94.5
 40   10   3009 May 01  11:48:35   4492  12483   T+  pp   0.2363  2.4439  1.4052  351.3  220.7   88.7


Catalog of Lunar Eclipses in Saros 157

                          TD of                                                          Phase
Seq. Rel.    Calendar   Greatest          Luna  Ecl.               Pen.    Um.    ---- Durations ---- 
Num. Num.      Date      Eclipse     ΔT    Num  Type QSE  Gamma    Mag.    Mag.    Pen.   Par.  Total
                                      s                                              m      m      m

 41   11   3027 May 12  19:13:06   4630  12706   T   -p   0.2897  2.3429  1.3102  347.5  217.0   80.3
 42   12   3045 May 23  02:30:11   4770  12929   T   -p   0.3497  2.2297  1.2030  342.9  211.9   67.3
 43   13   3063 Jun 03  09:43:41   4912  13152   T   -t   0.4137  2.1094  1.0885  337.6  205.6   46.0
 44   14   3081 Jun 13  16:51:18   5056  13375   P   -t   0.4834  1.9788  0.9632  331.2  197.4    -  
 45   15   3099 Jun 24  23:57:56   5202  13598   P   -t   0.5548  1.8453  0.8347  324.0  187.4    -  
 46   16   3117 Jul 06  07:01:50   5350  13821   P   -t   0.6288  1.7072  0.7011  315.7  175.2    -  
 47   17   3135 Jul 17  14:05:45   5500  14044   P   -t   0.7037  1.5677  0.5656  306.4  160.3    -  
 48   18   3153 Jul 27  21:10:03   5652  14267   P   -t   0.7789  1.4280  0.4294  296.1  142.2    -  
 49   19   3171 Aug 08  04:17:16   5807  14490   P   -h   0.8523  1.2918  0.2963  284.9  120.1    -  
 50   20   3189 Aug 18  11:27:46   5963  14713   P   -h   0.9236  1.1598  0.1667  272.8   91.5    -  

 51   21   3207 Aug 29  18:42:12   6122  14936   P   -h   0.9922  1.0328  0.0417  260.1   46.4    -  
 52   22   3225 Sep 09  02:02:56   6282  15159   N   -h   1.0562  0.9148 -0.0750  247.0    -      -  
 53   23   3243 Sep 20  09:29:56   6445  15382   N   -a   1.1156  0.8053 -0.1834  233.6    -      -  
 54   24   3261 Sep 30  17:04:43   6610  15605   N   -a   1.1693  0.7064 -0.2817  220.2    -      -  
 55   25   3279 Oct 12  00:47:02   6776  15828   N   -a   1.2175  0.6177 -0.3701  207.2    -      -  
 56   26   3297 Oct 22  08:38:58   6945  16051   N   -a   1.2588  0.5420 -0.4458  194.9    -      -  
 57   27   3315 Nov 03  16:39:19   7116  16274   N   -a   1.2938  0.4778 -0.5101  183.7    -      -  
 58   28   3333 Nov 14  00:47:59   7289  16497   N   -a   1.3229  0.4245 -0.5637  173.5    -      -  
 59   29   3351 Nov 25  09:05:07   7464  16720   N   -a   1.3461  0.3821 -0.6062  164.9    -      -  
 60   30   3369 Dec 05  17:30:31   7641  16943   N   -a   1.3635  0.3501 -0.6383  158.0    -      -  

 61   31   3387 Dec 17  02:02:35   7821  17166   N   -a   1.3762  0.3268 -0.6615  152.6    -      -  
 62   32   3405 Dec 28  10:40:14   8002  17389   N   -a   1.3851  0.3102 -0.6776  148.6    -      -  
 63   33   3424 Jan 08  19:22:35   8185  17612   N   -a   1.3910  0.2990 -0.6881  145.7    -      -  
 64   34   3442 Jan 19  04:08:54   8371  17835   N   -a   1.3946  0.2919 -0.6940  143.7    -      -  
 65   35   3460 Jan 30  12:55:44   8558  18058   N   -a   1.3982  0.2844 -0.6998  141.7    -      -  
 66   36   3478 Feb 09  21:43:30   8748  18281   N   -a   1.4016  0.2772 -0.7050  139.7    -      -  
 67   37   3496 Feb 21  06:28:57   8940  18504   N   -a   1.4074  0.2653 -0.7144  136.5    -      -  
 68   38   3514 Mar 04  15:12:51   9133  18727   N   -a   1.4148  0.2503 -0.7266  132.5    -      -  
 69   39   3532 Mar 14  23:50:47   9329  18950   N   -a   1.4276  0.2252 -0.7485  125.7    -      -  
 70   40   3550 Mar 26  08:25:32   9527  19173   N   -a   1.4433  0.1945 -0.7757  116.9    -      -  

 71   41   3568 Apr 05  16:52:54   9727  19396   N   -a   1.4654  0.1522 -0.8143  103.6    -      -  
 72   42   3586 Apr 17  01:14:43   9929  19619   N   -a   1.4923  0.1009 -0.8620   84.6    -      -  
 73   43   3604 Apr 27  09:28:09  10133  19842   Ne  -a   1.5262  0.0368 -0.9224   51.3    -      -  


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]Greatest eclipse is defined as the instant when Moon passes closest to the axis of Earth's shadow.


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

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 Lunar Eclipses: -1999 to +3000 and Five Millennium Catalog of Lunar 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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2009 Sep 29