Catalog of Lunar Eclipse Saros Series

Saros Series 78

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 78 all occur at the Moon’s ascending node and the Moon moves southward with each eclipse. The series began with a penumbral eclipse near the northern edge of the penumbra on -0125 Apr 10. The series ended with a penumbral eclipse near the southern edge of the penumbra on 1155 May 18. The total duration of Saros series 78 is 1280.14 years. In summary:

                      First Eclipse = -0125 Apr 10   15:04:46 TD
                       Last Eclipse =  1155 May 18   14:32:01 TD

                      Duration of Saros  78  =  1280.14 Years

Saros 78 is composed of 72 lunar eclipses as follows:

Lunar Eclipses of Saros 78
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PenumbralN 19 26.4%
PartialP 28 38.9%
TotalT 25 34.7%

The 72 lunar eclipses in Saros 78 occur in the order of 7N 9P 25T 19P 12N which corresponds to:

                                     7  Penumbral
                                     9  Partial
                                    25  Total
                                    19  Partial
                                    12  Penumbral

The longest and shortest eclipses of Saros 78 are as follows.

            Longest  Total  Lunar Eclipse:    0488 Apr 12      Duration = 01h41m38s
           Shortest  Total  Lunar Eclipse:    0163 Sep 30      Duration = 00h38m34s

            Longest Partial Lunar Eclipse:    0145 Sep 18      Duration = 03h25m01s
           Shortest Partial Lunar Eclipse:    0939 Jan 08      Duration = 00h13m51s

          Longest Penumbral Lunar Eclipse:   -0017 Jun 14      Duration = 04h35m59s
         Shortest Penumbral Lunar Eclipse:   -0125 Apr 10      Duration = 01h09m55s

The largest and smallest magnitude partial eclipses of Saros 78 are:

            Largest Partial Lunar Eclipse:    0145 Sep 18      Magnitude = 0.9994
           Smallest Partial Lunar Eclipse:    0939 Jan 08      Magnitude = 0.0041

Local circumstances at greatest eclipse[2] for every lunar eclipse of Saros 78 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 78

                          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  -34  -0125 Apr 10  15:04:46  11857 -26280   Nb  t-   1.5505  0.0507 -1.0242   69.9    -      -  
 02  -33  -0107 Apr 20  21:38:22  11656 -26057   N   t-   1.4755  0.1868 -0.8850  132.4    -      -  
 03  -32  -0089 May 02  04:07:43  11460 -25834   N   t-   1.3963  0.3307 -0.7383  173.7    -      -  
 04  -31  -0071 May 12  10:32:34  11266 -25611   N   t-   1.3125  0.4831 -0.5833  206.6    -      -  
 05  -30  -0053 May 23  16:56:42  11075 -25388   N   t-   1.2273  0.6384 -0.4260  233.6    -      -  
 06  -29  -0035 Jun 02  23:18:12  10887 -25165   N   t-   1.1391  0.7994 -0.2632  256.8    -      -  
 07  -28  -0017 Jun 14  05:43:03  10702 -24942   N   t-   1.0524  0.9577 -0.1036  276.0    -      -  
 08  -27   0001 Jun 24  12:08:47  10519 -24719   P   t-   0.9653  1.1170  0.0567  292.5   57.9    -  
 09  -26   0019 Jul 05  18:40:32  10338 -24496   P   t-   0.8822  1.2693  0.2096  306.0  108.8    -  
 10  -25   0037 Jul 16  01:16:00  10160 -24273   P   t-   0.8011  1.4179  0.3584  317.4  138.8    -  

 11  -24   0055 Jul 27  08:01:10   9983 -24050   P   t-   0.7267  1.5545  0.4949  326.3  159.4    -  
 12  -23   0073 Aug 06  14:53:14   9807 -23827   P   t-   0.6568  1.6829  0.6230  333.6  174.7    -  
 13  -22   0091 Aug 17  21:55:26   9633 -23604   P   t-   0.5941  1.7983  0.7378  339.2  186.1    -  
 14  -21   0109 Aug 28  05:07:04   9460 -23381   P   t-   0.5383  1.9011  0.8399  343.4  194.5    -  
 15  -20   0127 Sep 08  12:30:19   9287 -23158   P   t-   0.4912  1.9879  0.9261  346.4  200.6    -  
 16  -19   0145 Sep 18  20:03:29   9116 -22935   P   t-   0.4511  2.0618  0.9994  348.4  205.0    -  
 17  -18   0163 Sep 30  03:46:43   8945 -22712   T   h-   0.4183  2.1220  1.0592  349.7  208.1   38.6
 18  -17   0181 Oct 10  11:39:46   8774 -22489   T   a-   0.3929  2.1688  1.1059  350.3  210.2   50.7
 19  -16   0199 Oct 21  19:42:04   8603 -22266   T   a-   0.3744  2.2027  1.1400  350.4  211.4   57.5
 20  -15   0217 Nov 01  03:51:19   8432 -22043   T   a-   0.3609  2.2270  1.1651  350.1  212.0   61.7

 21  -14   0235 Nov 12  12:07:20   8260 -21820   T   a-   0.3524  2.2419  1.1813  349.4  212.2   64.2
 22  -13   0253 Nov 22  20:27:42   8088 -21597   T   p-   0.3467  2.2513  1.1927  348.5  212.2   65.7
 23  -12   0271 Dec 04  04:51:46   7916 -21374   T   p-   0.3434  2.2561  1.2000  347.4  211.9   66.7
 24  -11   0289 Dec 14  13:15:32   7743 -21151   T   p-   0.3392  2.2621  1.2093  346.2  211.8   67.8
 25  -10   0307 Dec 25  21:40:21   7569 -20928   T   p-   0.3352  2.2676  1.2187  345.0  211.6   69.0
 26  -09   0326 Jan 05  06:02:03   7394 -20705   T   p-   0.3282  2.2780  1.2337  343.8  211.7   70.8
 27  -08   0344 Jan 16  14:20:47   7218 -20482   T   p-   0.3178  2.2946  1.2555  342.7  212.1   73.3
 28  -07   0362 Jan 26  22:33:23   7041 -20259   T   p-   0.3014  2.3218  1.2882  341.8  212.8   76.8
 29  -06   0380 Feb 07  06:41:29   6864 -20036   T   p-   0.2806  2.3569  1.3293  341.0  213.8   80.8
 30  -05   0398 Feb 17  14:42:35   6686 -19813   T+  p-   0.2533  2.4039  1.3825  340.3  215.0   85.2

 31  -04   0416 Feb 28  22:36:15   6508 -19590   T+  p-   0.2190  2.4637  1.4487  339.7  216.3   89.8
 32  -03   0434 Mar 11  06:23:02   6330 -19367   T+  p-   0.1781  2.5354  1.5269  339.1  217.6   94.1
 33  -02   0452 Mar 21  14:02:47   6151 -19144   T+  p-   0.1304  2.6198  1.6176  338.4  218.8   97.8
 34  -01   0470 Apr 01  21:36:16   5974 -18921   T+  pp   0.0768  2.7151  1.7190  337.5  219.4  100.4
 35   00   0488 Apr 12  05:03:16   5797 -18698   T+  pp   0.0170  2.8218  1.8317  336.2  219.5  101.6
 36   01   0506 Apr 23  12:25:55   5620 -18475   T-  pp  -0.0474  2.7633  1.7786  334.4  218.8  101.1
 37   02   0524 May 03  19:44:18   5444 -18252   T-  pp  -0.1162  2.6345  1.6548  332.1  217.1   98.4
 38   03   0542 May 15  02:59:39   5268 -18029   T-  pp  -0.1884  2.4998  1.5246  329.1  214.2   93.1
 39   04   0560 May 25  10:13:38   5094 -17806   T-  -p  -0.2624  2.3619  1.3906  325.4  210.1   84.5
 40   05   0578 Jun 05  17:27:34   4921 -17583   T   -p  -0.3375  2.2225  1.2545  320.9  204.7   71.3


Catalog of Lunar Eclipses in Saros 78

                          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   06   0596 Jun 16  00:43:12   4749 -17360   T   -a  -0.4119  2.0847  1.1194  315.8  198.0   50.9
 42   07   0614 Jun 27  08:00:24   4579 -17137   P   -a  -0.4858  1.9481  0.9848  310.0  189.9    -  
 43   08   0632 Jul 07  15:22:21   4410 -16914   P   -a  -0.5564  1.8177  0.8559  303.8  180.6    -  
 44   09   0650 Jul 18  22:48:17   4243 -16691   P   -a  -0.6247  1.6920  0.7310  297.0  170.1    -  
 45   10   0668 Jul 29  06:20:47   4077 -16468   P   -a  -0.6879  1.5759  0.6153  290.1  158.6    -  
 46   11   0686 Aug 09  13:59:05   3913 -16245   P   -a  -0.7469  1.4677  0.5068  283.0  146.1    -  
 47   12   0704 Aug 19  21:46:01   3751 -16022   P   -a  -0.7994  1.3717  0.4102  276.2  133.1    -  
 48   13   0722 Aug 31  05:40:33   3592 -15799   P   -a  -0.8462  1.2864  0.3239  269.7  119.6    -  
 49   14   0740 Sep 10  13:43:12   3435 -15576   P   -a  -0.8867  1.2126  0.2490  263.6  105.8    -  
 50   15   0758 Sep 21  21:54:44   3281 -15353   P   -a  -0.9203  1.1518  0.1866  258.4   92.3    -  

 51   16   0776 Oct 02  06:14:18   3129 -15130   P   -a  -0.9474  1.1027  0.1361  253.9   79.2    -  
 52   17   0794 Oct 13  14:42:25   2981 -14907   P   -a  -0.9682  1.0653  0.0972  250.3   67.2    -  
 53   18   0812 Oct 23  23:16:18   2836 -14684   P   -a  -0.9846  1.0358  0.0664  247.4   55.7    -  
 54   19   0830 Nov 04  07:57:58   2694 -14461   P   -a  -0.9950  1.0173  0.0467  245.5   46.8    -  
 55   20   0848 Nov 14  16:43:54   2556 -14238   P   -a  -1.0022  1.0046  0.0333  244.2   39.6    -  
 56   21   0866 Nov 26  01:34:40   2422 -14015   P   -a  -1.0058  0.9982  0.0264  243.4   35.3    -  
 57   22   0884 Dec 06  10:26:38   2292 -13792   P   -a  -1.0085  0.9931  0.0213  242.8   31.7    -  
 58   23   0902 Dec 17  19:20:33   2165 -13569   P   -a  -1.0103  0.9897  0.0184  242.4   29.4    -  
 59   24   0920 Dec 28  04:12:44   2044 -13346   P   -a  -1.0135  0.9833  0.0129  241.7   24.6    -  
 60   25   0939 Jan 08  13:02:53   1926 -13123   P   -a  -1.0187  0.9733  0.0041  240.6   13.8    -  

 61   26   0957 Jan 18  21:48:41   1813 -12900   N   -a  -1.0274  0.9564 -0.0112  238.9    -      -  
 62   27   0975 Jan 30  06:30:05   1705 -12677   N   -a  -1.0398  0.9327 -0.0330  236.4    -      -  
 63   28   0993 Feb 09  15:03:57   1601 -12454   N   -a  -1.0584  0.8974 -0.0662  232.8    -      -  
 64   29   1011 Feb 20  23:31:12   1502 -12231   N   -a  -1.0827  0.8518 -0.1096  227.8    -      -  
 65   30   1029 Mar 03  07:49:56   1407 -12008   N   -a  -1.1137  0.7937 -0.1654  221.3    -      -  
 66   31   1047 Mar 14  16:02:02   1317 -11785   N   -a  -1.1500  0.7260 -0.2310  213.2    -      -  
 67   32   1065 Mar 25  00:03:44   1232 -11562   N   -a  -1.1947  0.6431 -0.3121  202.5    -      -  
 68   33   1083 Apr 05  07:59:31   1151 -11339   N   -a  -1.2441  0.5516 -0.4019  189.4    -      -  
 69   34   1101 Apr 15  15:46:10   1074 -11116   N   -a  -1.3010  0.4467 -0.5056  172.3    -      -  
 70   35   1119 Apr 26  23:28:02   1002 -10893   N   -a  -1.3613  0.3356 -0.6158  151.2    -      -  

 71   36   1137 May 07  07:01:23    934 -10670   N   -a  -1.4281  0.2128 -0.7384  121.9    -      -  
 72   37   1155 May 18  14:32:01    870 -10447   Ne  -a  -1.4969  0.0869 -0.8647   79.0    -      -  


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