Catalog of Lunar Eclipse Saros Series

Saros Series 33

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 33 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series began with a penumbral eclipse near the southern edge of the penumbra on -1662 May 22. The series ended with a penumbral eclipse near the northern edge of the penumbra on -0364 Jul 10. The total duration of Saros series 33 is 1298.17 years. In summary:

                      First Eclipse = -1662 May 22   07:37:52 TD
                       Last Eclipse = -0364 Jul 10   00:54:43 TD

                      Duration of Saros  33  =  1298.17 Years

Saros 33 is composed of 73 lunar eclipses as follows:

Lunar Eclipses of Saros 33
Eclipse Type Symbol Number Percent
All Eclipses - 73100.0%
PenumbralN 15 20.5%
PartialP 41 56.2%
TotalT 17 23.3%

The 73 lunar eclipses in Saros 33 occur in the order of 8N 22P 17T 19P 7N which corresponds to:

                                     8  Penumbral
                                    22  Partial
                                    17  Total
                                    19  Partial
                                     7  Penumbral

The longest and shortest eclipses of Saros 33 are as follows.

            Longest  Total  Lunar Eclipse:   -1013 Jun 16      Duration = 01h39m27s
           Shortest  Total  Lunar Eclipse:   -0833 Oct 02      Duration = 00h21m46s

            Longest Partial Lunar Eclipse:   -0815 Oct 12      Duration = 03h07m51s
           Shortest Partial Lunar Eclipse:   -1518 Aug 16      Duration = 00h42m34s

          Longest Penumbral Lunar Eclipse:   -0472 May 06      Duration = 04h14m58s
         Shortest Penumbral Lunar Eclipse:   -1662 May 22      Duration = 00h53m20s

The largest and smallest magnitude partial eclipses of Saros 33 are:

            Largest Partial Lunar Eclipse:   -0815 Oct 12      Magnitude = 0.9949
           Smallest Partial Lunar Eclipse:   -1518 Aug 16      Magnitude = 0.0348

Local circumstances at greatest eclipse[2] for every lunar eclipse of Saros 33 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 33

                          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  -36  -1662 May 22  07:37:52  38600 -45289   Nb  h-  -1.5444  0.0332 -0.9848   53.3    -      -  
 02  -35  -1644 Jun 01  14:25:07  38201 -45066   N   h-  -1.4610  0.1846 -0.8302  123.5    -      -  
 03  -34  -1626 Jun 12  21:16:44  37804 -44843   N   h-  -1.3797  0.3326 -0.6797  162.9    -      -  
 04  -33  -1608 Jun 23  04:13:17  37409 -44620   N   h-  -1.3009  0.4761 -0.5342  191.5    -      -  
 05  -32  -1590 Jul 04  11:17:24  37016 -44397   N   a-  -1.2269  0.6111 -0.3977  213.3    -      -  
 06  -31  -1572 Jul 14  18:29:38  36626 -44174   N   a-  -1.1584  0.7361 -0.2715  230.3    -      -  
 07  -30  -1554 Jul 26  01:50:08  36237 -43951   N   a-  -1.0957  0.8510 -0.1560  243.9    -      -  
 08  -29  -1536 Aug 05  09:20:52  35850 -43728   N   a-  -1.0401  0.9528 -0.0538  254.4    -      -  
 09  -28  -1518 Aug 16  17:01:46  35466 -43505   P   a-  -0.9918  1.0413  0.0348  262.6   42.6    -  
 10  -27  -1500 Aug 27  00:53:41  35083 -43282   P   a-  -0.9518  1.1148  0.1084  268.7   74.1    -  

 11  -26  -1482 Sep 07  08:54:39  34703 -43059   P   a-  -0.9182  1.1763  0.1699  273.3   91.7    -  
 12  -25  -1464 Sep 17  17:06:04  34325 -42836   P   a-  -0.8927  1.2231  0.2167  276.4  102.5    -  
 13  -24  -1446 Sep 29  01:26:11  33949 -42613   P   a-  -0.8736  1.2580  0.2518  278.4  109.6    -  
 14  -23  -1428 Oct 09  09:54:17  33574 -42390   P   a-  -0.8605  1.2818  0.2762  279.4  114.1    -  
 15  -22  -1410 Oct 20  18:28:57  33202 -42167   P   a-  -0.8523  1.2964  0.2916  279.7  116.7    -  
 16  -21  -1392 Oct 31  03:08:55  32832 -41944   P   a-  -0.8478  1.3040  0.3006  279.5  118.0    -  
 17  -20  -1374 Nov 11  11:52:57  32464 -41721   P   a-  -0.8463  1.3058  0.3042  278.8  118.3    -  
 18  -19  -1356 Nov 21  20:37:47  32098 -41498   P   a-  -0.8449  1.3072  0.3080  278.0  118.7    -  
 19  -18  -1338 Dec 03  05:23:53  31735 -41275   P   a-  -0.8442  1.3071  0.3108  277.2  118.9    -  
 20  -17  -1320 Dec 13  14:07:49  31373 -41052   P   a-  -0.8408  1.3116  0.3187  276.7  120.0    -  

 21  -16  -1302 Dec 24  22:49:06  31013 -40829   P   a-  -0.8350  1.3203  0.3312  276.4  121.9    -  
 22  -15  -1283 Jan 04  07:24:46  30656 -40606   P   a-  -0.8239  1.3384  0.3536  276.9  125.3    -  
 23  -14  -1265 Jan 15  15:55:55  30300 -40383   P   a-  -0.8087  1.3640  0.3837  277.9  129.7    -  
 24  -13  -1247 Jan 26  00:20:11  29947 -40160   P   a-  -0.7871  1.4013  0.4259  279.6  135.5    -  
 25  -12  -1229 Feb 06  08:36:48  29595 -39937   P   a-  -0.7587  1.4509  0.4803  282.0  142.5    -  
 26  -11  -1211 Feb 16  16:45:44  29246 -39714   P   a-  -0.7235  1.5131  0.5473  285.0  150.3    -  
 27  -10  -1193 Feb 28  00:47:14  28899 -39491   P   a-  -0.6817  1.5874  0.6263  288.5  158.5    -  
 28  -09  -1175 Mar 10  08:41:12  28554 -39268   P   a-  -0.6333  1.6740  0.7174  292.4  167.0    -  
 29  -08  -1157 Mar 21  16:27:42  28211 -39045   P   a-  -0.5782  1.7731  0.8205  296.5  175.3    -  
 30  -07  -1139 Apr 01  00:08:17  27870 -38822   P   a-  -0.5178  1.8821  0.9333  300.5  183.2    -  

 31  -06  -1121 Apr 12  07:43:23  27531 -38599   T   a-  -0.4526  2.0001  1.0543  304.3  190.3   34.3
 32  -05  -1103 Apr 22  15:13:16  27194 -38376   T   a-  -0.3827  2.1270  1.1838  307.9  196.6   60.7
 33  -04  -1085 May 03  22:40:07  26859 -38153   T   p-  -0.3100  2.2594  1.3182  310.9  201.9   76.4
 34  -03  -1067 May 14  06:04:35  26526 -37930   T-  p-  -0.2353  2.3958  1.4559  313.4  206.1   87.0
 35  -02  -1049 May 25  13:29:02  26196 -37707   T-  p-  -0.1603  2.5333  1.5938  315.2  209.0   93.9
 36  -01  -1031 Jun 04  20:52:22  25867 -37484   T-  pp  -0.0842  2.6729  1.7333  316.4  210.9   98.0
 37   00  -1013 Jun 16  04:19:04  25541 -37261   T-  pp  -0.0111  2.8075  1.8671  316.9  211.5   99.5
 38   01  -0995 Jun 26  11:47:30  25216 -37038   T+  pp   0.0604  2.7177  1.7758  316.8  211.2   98.6
 39   02  -0977 Jul 07  19:21:12  24894 -36815   T+  -p   0.1276  2.5955  1.6516  316.3  209.9   95.8
 40   03  -0959 Jul 18  02:58:09  24574 -36592   T+  -p   0.1920  2.4788  1.5322  315.3  207.8   91.1


Catalog of Lunar Eclipses in Saros 33

                          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   04  -0941 Jul 29  10:43:00  24255 -36369   T+  -p   0.2494  2.3750  1.4251  314.1  205.3   84.8
 42   05  -0923 Aug 08  18:33:21  23939 -36146   T   -p   0.3019  2.2805  1.3270  312.8  202.3   77.1
 43   06  -0905 Aug 20  02:31:31  23625 -35923   T   -p   0.3474  2.1990  1.2416  311.4  199.2   68.2
 44   07  -0887 Aug 30  10:36:45  23313 -35700   T   -p   0.3868  2.1288  1.1672  310.2  196.1   58.1
 45   08  -0869 Sep 10  18:50:58  23003 -35477   T   -a   0.4184  2.0729  1.1071  309.2  193.4   47.4
 46   09  -0851 Sep 21  03:12:08  22695 -35254   T   -a   0.4437  2.0287  1.0586  308.5  191.0   35.6
 47   10  -0833 Oct 02  11:40:17  22390 -35031   T   -a   0.4629  1.9957  1.0214  308.1  189.2   21.8
 48   11  -0815 Oct 12  20:14:50  22086 -34808   P   -a   0.4762  1.9732  0.9949  308.1  187.9    -  
 49   12  -0797 Oct 24  04:55:31  21784 -34585   P   -a   0.4843  1.9601  0.9782  308.4  187.1    -  
 50   13  -0779 Nov 03  13:39:43  21485 -34362   P   -a   0.4892  1.9528  0.9676  309.0  186.7    -  

 51   14  -0761 Nov 14  22:27:21  21187 -34139   P   -a   0.4910  1.9509  0.9629  309.7  186.8    -  
 52   15  -0743 Nov 25  07:15:40  20892 -33916   P   -a   0.4921  1.9501  0.9598  310.5  186.9    -  
 53   16  -0725 Dec 06  16:04:30  20598 -33693   P   -a   0.4924  1.9505  0.9584  311.3  187.2    -  
 54   17  -0707 Dec 17  00:49:37  20307 -33470   P   -a   0.4955  1.9454  0.9519  311.9  187.2    -  
 55   18  -0689 Dec 28  09:32:23  20018 -33247   P   -a   0.5003  1.9371  0.9427  312.4  187.0    -  
 56   19  -0670 Jan 07  18:08:41  19731 -33024   P   -a   0.5103  1.9190  0.9241  312.5  186.2    -  
 57   20  -0652 Jan 19  02:38:56  19446 -32801   P   -a   0.5247  1.8926  0.8976  312.2  184.9    -  
 58   21  -0634 Jan 29  10:59:59  19163 -32578   P   -a   0.5464  1.8529  0.8579  311.3  182.5    -  
 59   22  -0616 Feb 09  19:13:26  18882 -32355   P   -a   0.5736  1.8028  0.8080  310.0  179.2    -  
 60   23  -0598 Feb 20  03:16:58  18603 -32132   P   -a   0.6088  1.7383  0.7436  307.8  174.3    -  

 61   24  -0580 Mar 02  11:10:26  18326 -31909   P   -a   0.6513  1.6600  0.6655  304.6  167.6    -  
 62   25  -0562 Mar 13  18:54:07  18052 -31686   P   -a   0.7012  1.5685  0.5739  300.4  158.4    -  
 63   26  -0544 Mar 24  02:28:40  17779 -31463   P   -a   0.7578  1.4649  0.4699  294.9  146.2    -  
 64   27  -0526 Apr 04  09:54:21  17508 -31240   P   -a   0.8209  1.3495  0.3538  287.9  129.5    -  
 65   28  -0508 Apr 14  17:11:18  17240 -31017   P   -a   0.8903  1.2228  0.2259  279.0  105.8    -  
 66   29  -0490 Apr 26  00:21:38  16941 -30794   P   -a   0.9640  1.0882  0.0897  268.2   68.2    -  
 67   30  -0472 May 06  07:25:39  16627 -30571   N   -a   1.0418  0.9467 -0.0540  255.0    -      -  
 68   31  -0454 May 17  14:24:22  16321 -30348   N   -h   1.1227  0.7996 -0.2038  238.9    -      -  
 69   32  -0436 May 27  21:19:39  16024 -30125   N   -h   1.2054  0.6496 -0.3571  219.5    -      -  
 70   33  -0418 Jun 08  04:12:57  15734 -29902   N   -h   1.2881  0.4997 -0.5108  196.2    -      -  

 71   34  -0400 Jun 18  11:06:01  15452 -29679   N   -h   1.3698  0.3519 -0.6629  167.8    -      -  
 72   35  -0382 Jun 29  17:58:40  15177 -29456   N   -h   1.4503  0.2066 -0.8131  130.9    -      -  
 73   36  -0364 Jul 10  00:54:43  14909 -29233   Ne  -h   1.5266  0.0693 -0.9557   77.1    -      -  


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