Catalog of Lunar Eclipse Saros Series

Saros Series 164

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 164 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 2400 Aug 05. The series will end with a penumbral eclipse near the southern edge of the penumbra on 3662 Sep 11. The total duration of Saros series 164 is 1262.11 years. In summary:

                      First Eclipse =  2400 Aug 05   12:01:19 TD
                       Last Eclipse =  3662 Sep 11   16:35:05 TD

                      Duration of Saros 164  =  1262.11 Years

Saros 164 is composed of 71 lunar eclipses as follows:

Lunar Eclipses of Saros 164
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PenumbralN 17 23.9%
PartialP 36 50.7%
TotalT 18 25.4%

The 71 lunar eclipses in Saros 164 occur in the order of 10N 18P 18T 18P 7N which corresponds to:

                                    10  Penumbral
                                    18  Partial
                                    18  Total
                                    18  Partial
                                     7  Penumbral

The longest and shortest eclipses of Saros 164 are as follows.

            Longest  Total  Lunar Eclipse:    3013 Aug 13      Duration = 01h39m51s
           Shortest  Total  Lunar Eclipse:    2905 Jun 08      Duration = 00h06m28s

            Longest Partial Lunar Eclipse:    3229 Dec 22      Duration = 03h05m05s
           Shortest Partial Lunar Eclipse:    2580 Nov 22      Duration = 00h49m07s

          Longest Penumbral Lunar Eclipse:    2562 Nov 12      Duration = 04h32m32s
         Shortest Penumbral Lunar Eclipse:    2400 Aug 05      Duration = 01h22m48s

The largest and smallest magnitude partial eclipses of Saros 164 are:

            Largest Partial Lunar Eclipse:    3229 Dec 22      Magnitude = 0.9806
           Smallest Partial Lunar Eclipse:    2580 Nov 22      Magnitude = 0.0442

Local circumstances at greatest eclipse[2] for every lunar eclipse of Saros 164 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 164

                          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   2400 Aug 05  12:01:19   1056   4954   Nb  t-   1.5295  0.0755 -0.9722   82.8    -      -  
 02  -33   2418 Aug 16  18:46:36   1124   5177   N   t-   1.4488  0.2230 -0.8236  140.0    -      -  
 03  -32   2436 Aug 27  01:39:06   1194   5400   N   t-   1.3726  0.3624 -0.6832  175.7    -      -  
 04  -31   2454 Sep 07  08:37:33   1266   5623   N   t-   1.2998  0.4955 -0.5495  202.2    -      -  
 05  -30   2472 Sep 17  15:45:51   1340   5846   N   t-   1.2338  0.6166 -0.4282  222.3    -      -  
 06  -29   2490 Sep 28  23:02:21   1416   6069   N   t-   1.1733  0.7276 -0.3170  238.2    -      -  
 07  -28   2508 Oct 10  06:29:19   1494   6292   N   h-   1.1203  0.8248 -0.2198  250.4    -      -  
 08  -27   2526 Oct 21  14:05:41   1574   6515   N   h-   1.0739  0.9099 -0.1348  260.0    -      -  
 09  -26   2544 Oct 31  21:52:27   1657   6738   N   h-   1.0350  0.9813 -0.0633  267.2    -      -  
 10  -25   2562 Nov 12  05:48:45   1741   6961   Nx  a-   1.0030  1.0401 -0.0045  272.5    -      -  

 11  -24   2580 Nov 22  13:52:59   1828   7184   P   a-   0.9765  1.0883  0.0442  276.5   49.1    -  
 12  -23   2598 Dec 03  22:06:11   1916   7407   P   a-   0.9567  1.1243  0.0809  279.1   65.9    -  
 13  -22   2616 Dec 15  06:25:32   2007   7630   P   a-   0.9418  1.1512  0.1090  280.7   76.0    -  
 14  -21   2634 Dec 26  14:51:05   2099   7853   P   a-   0.9309  1.1703  0.1298  281.5   82.4    -  
 15  -20   2653 Jan 05  23:18:55   2194   8076   P   a-   0.9213  1.1867  0.1484  282.0   87.7    -  
 16  -19   2671 Jan 17  07:50:18   2291   8299   P   a-   0.9141  1.1985  0.1630  282.0   91.4    -  
 17  -18   2689 Jan 27  16:21:23   2390   8522   P   a-   0.9063  1.2111  0.1790  282.0   95.3    -  
 18  -17   2707 Feb 09  00:51:51   2491   8745   P   a-   0.8975  1.2254  0.1972  282.2   99.5    -  
 19  -16   2725 Feb 19  09:18:57   2594   8968   P   a-   0.8854  1.2453  0.2216  282.7  104.8    -  
 20  -15   2743 Mar 02  17:43:04   2699   9191   P   a-   0.8700  1.2710  0.2523  283.7  111.0    -  

 21  -14   2761 Mar 13  02:01:39   2806   9414   P   a-   0.8496  1.3058  0.2923  285.2  118.5    -  
 22  -13   2779 Mar 24  10:14:32   2916   9637   P   a-   0.8238  1.3502  0.3424  287.3  126.9    -  
 23  -12   2797 Apr 03  18:20:53   3027   9860   P   a-   0.7919  1.4059  0.4038  290.1  136.2    -  
 24  -11   2815 Apr 15  02:21:28   3140  10083   P   a-   0.7546  1.4715  0.4752  293.3  145.8    -  
 25  -10   2833 Apr 25  10:13:57   3256  10306   P   a-   0.7096  1.5511  0.5606  297.0  155.8    -  
 26  -09   2851 May 06  18:01:05   3373  10529   P   a-   0.6594  1.6403  0.6554  300.8  165.5    -  
 27  -08   2869 May 17  01:41:13   3493  10752   P   a-   0.6026  1.7419  0.7625  304.8  175.0    -  
 28  -07   2887 May 28  09:17:42   3615  10975   P   a-   0.5420  1.8504  0.8761  308.6  183.5    -  
 29  -06   2905 Jun 08  16:47:10   3738  11198   T   a-   0.4748  1.9715  1.0018  312.3  191.4    6.5
 30  -05   2923 Jun 20  00:15:08   3864  11421   T   a-   0.4056  2.0963  1.1308  315.4  198.0   53.0

 31  -04   2941 Jun 30  07:38:52   3992  11644   T   a-   0.3319  2.2297  1.2678  318.1  203.7   72.4
 32  -03   2959 Jul 11  15:02:55   4122  11867   T+  p-   0.2581  2.3636  1.4048  320.0  208.0   84.6
 33  -02   2977 Jul 21  22:24:47   4254  12090   T+  p-   0.1818  2.5024  1.5460  321.3  211.1   92.9
 34  -01   2995 Aug 02  05:50:01   4388  12313   T+  pp   0.1077  2.6375  1.6830  321.9  212.9   97.7
 35   00   3013 Aug 13  13:16:15   4525  12536   T+  pp   0.0336  2.7727  1.8193  321.9  213.6   99.8
 36   01   3031 Aug 24  20:46:39   4663  12759   T-  pp  -0.0374  2.7655  1.8129  321.2  213.2   99.6
 37   02   3049 Sep 04  04:20:42   4803  12982   T-  pp  -0.1057  2.6401  1.6875  320.0  211.8   97.3
 38   03   3067 Sep 15  12:01:09   4946  13205   T-  -p  -0.1690  2.5241  1.5711  318.3  209.7   93.2
 39   04   3085 Sep 25  19:47:45   5090  13428   T-  -p  -0.2277  2.4169  1.4630  316.4  206.9   87.5
 40   05   3103 Oct 08  03:40:51   5237  13651   T   -p  -0.2813  2.3191  1.3639  314.2  203.8   80.4


Catalog of Lunar Eclipses in Saros 164

                          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   3121 Oct 18  11:42:01   5385  13874   T   -p  -0.3285  2.2335  1.2766  312.1  200.5   72.1
 42   07   3139 Oct 29  19:50:43   5536  14097   T   -p  -0.3696  2.1589  1.2003  310.0  197.1   62.8
 43   08   3157 Nov 09  04:07:21   5689  14320   T   -p  -0.4041  2.0966  1.1360  308.1  194.0   52.8
 44   09   3175 Nov 20  12:31:05   5844  14543   T   -p  -0.4328  2.0449  1.0823  306.4  191.1   41.7
 45   10   3193 Nov 30  21:02:13   6001  14766   T   -a  -0.4556  2.0041  1.0395  305.0  188.7   29.2
 46   11   3211 Dec 12  05:39:37   6160  14989   T   -a  -0.4732  1.9727  1.0064  303.9  186.7   11.8
 47   12   3229 Dec 22  14:21:47   6321  15212   P   -a  -0.4868  1.9485  0.9806  303.1  185.1    -  
 48   13   3248 Jan 02  23:08:51   6484  15435   P   -a  -0.4964  1.9315  0.9624  302.5  183.9    -  
 49   14   3266 Jan 13  07:58:51   6649  15658   P   -a  -0.5033  1.9194  0.9494  302.1  183.1    -  
 50   15   3284 Jan 24  16:50:34   6816  15881   P   -a  -0.5091  1.9089  0.9385  301.8  182.4    -  

 51   16   3302 Feb 05  01:41:40   6986  16104   P   -a  -0.5154  1.8974  0.9269  301.4  181.7    -  
 52   17   3320 Feb 16  10:31:49   7157  16327   P   -a  -0.5224  1.8843  0.9141  301.0  181.0    -  
 53   18   3338 Feb 26  19:19:24   7331  16550   P   -a  -0.5315  1.8672  0.8977  300.4  180.0    -  
 54   19   3356 Mar 09  04:02:02   7506  16773   P   -a  -0.5448  1.8423  0.8739  299.5  178.4    -  
 55   20   3374 Mar 20  12:39:48   7684  16996   P   -a  -0.5620  1.8102  0.8429  298.3  176.4    -  
 56   21   3392 Mar 30  21:10:43   7864  17219   P   -a  -0.5852  1.7669  0.8012  296.6  173.3    -  
 57   22   3410 Apr 12  05:35:20   8045  17442   P   -a  -0.6132  1.7148  0.7505  294.3  169.4    -  
 58   23   3428 Apr 22  13:50:57   8229  17665   P   -a  -0.6486  1.6491  0.6863  291.3  164.0    -  
 59   24   3446 May 03  21:59:51   8415  17888   P   -a  -0.6893  1.5738  0.6123  287.5  157.0    -  
 60   25   3464 May 14  06:00:16   8603  18111   P   -a  -0.7369  1.4857  0.5254  282.7  147.6    -  

 61   26   3482 May 25  13:53:10   8793  18334   P   -a  -0.7904  1.3872  0.4277  276.8  135.4    -  
 62   27   3500 Jun 05  21:38:31   8985  18557   P   -a  -0.8499  1.2778  0.3187  269.5  119.0    -  
 63   28   3518 Jun 17  05:17:49   9180  18780   P   -a  -0.9140  1.1602  0.2012  260.8   96.4    -  
 64   29   3536 Jun 27  12:51:34   9376  19003   P   -a  -0.9821  1.0353  0.0759  250.3   60.4    -  
 65   30   3554 Jul 08  20:19:30   9574  19226   N   -a  -1.0545  0.9031 -0.0575  237.7    -      -  
 66   31   3572 Jul 19  03:44:31   9775  19449   N   -a  -1.1288  0.7675 -0.1946  222.8    -      -  
 67   32   3590 Jul 30  11:06:41   9977  19672   N   -a  -1.2051  0.6287 -0.3356  205.1    -      -  
 68   33   3608 Aug 09  18:27:56  10182  19895   N   -a  -1.2812  0.4904 -0.4767  184.2    -      -  
 69   34   3626 Aug 21  01:48:13  10388  20118   N   -a  -1.3574  0.3522 -0.6182  158.8    -      -  
 70   35   3644 Aug 31  09:10:41  10597  20341   N   -a  -1.4311  0.2189 -0.7554  127.2    -      -  

 71   36   3662 Sep 11  16:35:05  10808  20564   Ne  -a  -1.5026  0.0901 -0.8886   82.9    -      -  


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