Catalog of Lunar Eclipse Saros Series

Saros Series 178

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 178 all occur at the Moon’s ascending node and the Moon moves southward with each eclipse. The series will begin with a penumbral eclipse near the northern edge of the penumbra on 2769 Oct 07. The series will end with a penumbral eclipse near the southern edge of the penumbra on 4013 Nov 01. The total duration of Saros series 178 is 1244.08 years. In summary:

                      First Eclipse =  2769 Oct 07   18:39:36 TD
                       Last Eclipse =  4013 Nov 01   05:42:44 TD

                      Duration of Saros 178  =  1244.08 Years

Saros 178 is composed of 70 lunar eclipses as follows:

Lunar Eclipses of Saros 178
Eclipse Type Symbol Number Percent
All Eclipses - 70100.0%
PenumbralN 31 44.3%
PartialP 15 21.4%
TotalT 24 34.3%

The 70 lunar eclipses in Saros 178 occur in the order of 22N 7P 24T 8P 9N which corresponds to:

                                    22  Penumbral
                                     7  Partial
                                    24  Total
                                     8  Partial
                                     9  Penumbral

The longest and shortest eclipses of Saros 178 are as follows.

            Longest  Total  Lunar Eclipse:    3400 Oct 25      Duration = 01h45m44s
           Shortest  Total  Lunar Eclipse:    3292 Aug 20      Duration = 00h28m20s

            Longest Partial Lunar Eclipse:    3725 May 10      Duration = 03h27m39s
           Shortest Partial Lunar Eclipse:    3166 Jun 06      Duration = 00h25m17s

          Longest Penumbral Lunar Eclipse:    3869 Aug 05      Duration = 04h33m30s
         Shortest Penumbral Lunar Eclipse:    4013 Nov 01      Duration = 01h05m48s

The largest and smallest magnitude partial eclipses of Saros 178 are:

            Largest Partial Lunar Eclipse:    3725 May 10      Magnitude = 0.9868
           Smallest Partial Lunar Eclipse:    3166 Jun 06      Magnitude = 0.0110

Local circumstances at greatest eclipse[2] for every lunar eclipse of Saros 178 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 178

                          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  -35   2769 Oct 07  18:39:36   2858   9520   N   a-   1.5105  0.0826 -0.9101   80.0    -      -  
 02  -34   2787 Oct 19  02:29:28   2968   9743   N   a-   1.4715  0.1571 -0.8415  110.1    -      -  
 03  -33   2805 Oct 29  10:25:36   3081   9966   N   a-   1.4380  0.2215 -0.7830  130.5    -      -  
 04  -32   2823 Nov 09  18:28:33   3195  10189   N   a-   1.4106  0.2749 -0.7355  145.3    -      -  
 05  -31   2841 Nov 20  02:38:13   3311  10412   N   a-   1.3890  0.3173 -0.6988  156.1    -      -  
 06  -30   2859 Dec 01  10:54:30   3430  10635   N   a-   1.3737  0.3481 -0.6734  163.8    -      -  
 07  -29   2877 Dec 11  19:15:31   3551  10858   N   a-   1.3625  0.3712 -0.6554  169.4    -      -  
 08  -28   2895 Dec 23  03:40:24   3673  11081   N   a-   1.3551  0.3871 -0.6441  173.4    -      -  
 09  -27   2914 Jan 03  12:08:10   3798  11304   N   a-   1.3509  0.3969 -0.6384  176.1    -      -  
 10  -26   2932 Jan 14  20:38:00   3925  11527   N   a-   1.3492  0.4018 -0.6371  177.8    -      -  

 11  -25   2950 Jan 25  05:06:25   4054  11750   N   h-   1.3472  0.4071 -0.6348  179.5    -      -  
 12  -24   2968 Feb 05  13:34:06   4185  11973   N   h-   1.3453  0.4118 -0.6325  181.0    -      -  
 13  -23   2986 Feb 15  21:57:16   4318  12196   N   h-   1.3404  0.4215 -0.6245  183.6    -      -  
 14  -22   3004 Feb 28  06:16:54   4453  12419   N   h-   1.3335  0.4349 -0.6124  186.9    -      -  
 15  -21   3022 Mar 10  14:28:10   4590  12642   N   h-   1.3208  0.4587 -0.5895  192.0    -      -  
 16  -20   3040 Mar 20  22:34:00   4729  12865   N   t-   1.3043  0.4891 -0.5594  198.3    -      -  
 17  -19   3058 Apr 01  06:29:43   4871  13088   N   t-   1.2804  0.5330 -0.5157  206.8    -      -  
 18  -18   3076 Apr 11  14:17:44   5014  13311   N   t-   1.2509  0.5872 -0.4615  216.5    -      -  
 19  -17   3094 Apr 22  21:54:30   5160  13534   N   t-   1.2128  0.6572 -0.3915  228.2    -      -  
 20  -16   3112 May 04  05:23:22   5307  13757   N   t-   1.1689  0.7376 -0.3109  240.5    -      -  

 21  -15   3130 May 15  12:41:35   5457  13980   N   t-   1.1170  0.8329 -0.2157  253.8    -      -  
 22  -14   3148 May 25  19:51:04   5608  14203   N   t-   1.0585  0.9401 -0.1085  267.5    -      -  
 23  -13   3166 Jun 06  02:51:41   5762  14426   P   t-   0.9933  1.0601  0.0110  281.3   25.3    -  
 24  -12   3184 Jun 16  09:45:27   5918  14649   P   t-   0.9228  1.1898  0.1401  294.7   88.8    -  
 25  -11   3202 Jun 27  16:32:36   6076  14872   P   t-   0.8474  1.3287  0.2779  307.5  122.9    -  
 26  -10   3220 Jul 07  23:14:15   6236  15095   P   t-   0.7680  1.4751  0.4229  319.5  148.6    -  
 27  -09   3238 Jul 19  05:52:12   6398  15318   P   t-   0.6859  1.6267  0.5727  330.4  169.3    -  
 28  -08   3256 Jul 29  12:28:11   6562  15541   P   t-   0.6023  1.7811  0.7249  340.2  186.1    -  
 29  -07   3274 Aug 09  19:02:22   6728  15764   P   t-   0.5177  1.9377  0.8790  348.8  199.9    -  
 30  -06   3292 Aug 20  01:38:07   6897  15987   T   t-   0.4345  2.0918  1.0300  356.0  210.8   28.3

 31  -05   3310 Sep 01  08:15:34   7067  16210   T   t-   0.3531  2.2428  1.1778  362.0  219.3   65.8
 32  -04   3328 Sep 11  14:58:10   7239  16433   T   pp   0.2760  2.3862  1.3176  366.7  225.6   83.7
 33  -03   3346 Sep 22  21:43:53   7414  16656   T+  pp   0.2016  2.5246  1.4521  370.3  230.2   94.7
 34  -02   3364 Oct 03  04:37:12   7590  16879   T+  pp   0.1336  2.6513  1.5748  373.0  233.1  101.1
 35  -01   3382 Oct 14  11:36:15   7769  17102   T+  pp   0.0706  2.7690  1.6885  374.8  234.8  104.6
 36   00   3400 Oct 25  18:44:12   7950  17325   T+  pp   0.0151  2.8730  1.7884  376.0  235.4  105.7
 37   01   3418 Nov 06  01:58:59   8133  17548   T-  pp  -0.0347  2.8390  1.7504  376.7  235.3  105.4
 38   02   3436 Nov 16  09:23:26   8317  17771   T-  pp  -0.0764  2.7643  1.6720  377.0  234.8  104.0
 39   03   3454 Nov 27  16:55:19   8504  17994   T-  pp  -0.1118  2.7010  1.6053  377.0  234.0  102.0
 40   04   3472 Dec 08  00:34:55   8693  18217   T-  pp  -0.1406  2.6497  1.5510  376.9  233.1   99.8


Catalog of Lunar Eclipses in Saros 178

                          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   05   3490 Dec 19  08:21:24   8884  18440   T-  pp  -0.1638  2.6084  1.5072  376.7  232.1   97.6
 42   06   3508 Dec 30  16:14:05   9077  18663   T-  pp  -0.1813  2.5772  1.4741  376.5  231.3   95.8
 43   07   3527 Jan 11  00:11:19   9273  18886   T-  pp  -0.1955  2.5518  1.4475  376.2  230.6   94.1
 44   08   3545 Jan 21  08:10:54   9470  19109   T-  pp  -0.2077  2.5297  1.4249  375.7  229.9   92.5
 45   09   3563 Feb 01  16:12:54   9669  19332   T-  pp  -0.2179  2.5108  1.4063  375.2  229.3   91.1
 46   10   3581 Feb 12  00:14:51   9871  19555   T-  pp  -0.2280  2.4918  1.3884  374.5  228.6   89.7
 47   11   3599 Feb 23  08:14:46  10074  19778   T-  pp  -0.2401  2.4686  1.3670  373.6  227.8   88.0
 48   12   3617 Mar 05  16:11:27  10280  20001   T-  -p  -0.2550  2.4400  1.3409  372.5  226.8   85.6
 49   13   3635 Mar 17  00:03:42  10487  20224   T   -p  -0.2740  2.4036  1.3076  371.0  225.4   82.4
 50   14   3653 Mar 27  07:50:36  10697  20447   T   -p  -0.2976  2.3585  1.2662  369.1  223.6   77.8

 51   15   3671 Apr 07  15:29:56  10909  20670   T   -p  -0.3275  2.3015  1.2133  366.7  221.1   71.0
 52   16   3689 Apr 17  23:02:50  11123  20893   T   -p  -0.3631  2.2339  1.1502  363.7  217.8   60.8
 53   17   3707 Apr 30  06:27:46  11339  21116   T   -t  -0.4057  2.1534  1.0745  360.1  213.4   43.9
 54   18   3725 May 10  13:45:00  11557  21339   P   -t  -0.4548  2.0607  0.9868  355.6  207.7    -  
 55   19   3743 May 21  20:54:29  11777  21562   P   -t  -0.5108  1.9555  0.8866  350.1  200.2    -  
 56   20   3761 Jun 01  03:57:37  11999  21785   P   -t  -0.5723  1.8401  0.7762  343.5  190.6    -  
 57   21   3779 Jun 12  10:55:06  12223  22008   P   -t  -0.6388  1.7156  0.6564  335.7  178.6    -  
 58   22   3797 Jun 22  17:46:33  12449  22231   P   -t  -0.7107  1.5813  0.5268  326.4  163.0    -  
 59   23   3815 Jul 05  00:35:16  12678  22454   P   -t  -0.7855  1.4420  0.3918  315.7  143.2    -  
 60   24   3833 Jul 15  07:20:45  12908  22677   P   -t  -0.8634  1.2970  0.2507  303.3  116.7    -  

 61   25   3851 Jul 26  14:06:25  13141  22900   P   -t  -0.9416  1.1517  0.1090  289.4   78.3    -  
 62   26   3869 Aug 05  20:50:37  13375  23123   Nx  -t  -1.0214  1.0036 -0.0359  273.5    -      -  
 63   27   3887 Aug 17  03:38:28  13612  23346   N   -t  -1.0991  0.8598 -0.1770  256.0    -      -  
 64   28   3905 Aug 28  10:28:24  13851  23569   N   -t  -1.1756  0.7182 -0.3162  236.5    -      -  
 65   29   3923 Sep 08  17:23:24  14091  23792   N   -t  -1.2485  0.5834 -0.4492  215.3    -      -  
 66   30   3941 Sep 19  00:23:25  14334  24015   N   -t  -1.3179  0.4554 -0.5757  191.9    -      -  
 67   31   3959 Sep 30  07:31:21  14579  24238   N   -t  -1.3814  0.3384 -0.6916  166.7    -      -  
 68   32   3977 Oct 10  14:46:54  14826  24461   N   -t  -1.4394  0.2314 -0.7978  138.7    -      -  
 69   33   3995 Oct 21  22:10:18  15075  24684   N   -t  -1.4918  0.1351 -0.8936  106.6    -      -  
 70   34   4013 Nov 01  05:42:44  15326  24907   N   -t  -1.5375  0.0511 -0.9773   65.8    -      -  


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