Catalog of Solar Eclipse Saros Series

Saros Series 84

The periodicity and recurrence of solar (and lunar) 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 13 centuries and contains 70 or more eclipses. Every saros series begins with a number of partial eclipses near one of Earth's polar regions. The series will then produce several dozen central[2] eclipses before ending with a group of partial eclipses near the opposite pole.

Solar eclipses of Saros 84 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series began with a partial eclipse in the southern hemisphere on -0181 Apr 14. The series ended with a partial eclipse in the northern hemisphere on 1099 May 22. The total duration of Saros series 84 is 1280.14 years. In summary:

                      First Eclipse = -0181 Apr 14   08:48:52 TD
                       Last Eclipse =  1099 May 22   20:42:06 TD

                      Duration of Saros  84  =  1280.14 Years

Saros 84 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 84
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 17 23.6%
AnnularA 1 1.4%
TotalT 43 59.7%
Hybrid[3]H 11 15.3%

Umbral eclipses (annular, total and hybrid) can be further classified as either: 1) Central (two limits), 2) Central (one limit) or 3) Non-Central (one limit). The statistical distribution of these classes in Saros series 84 appears in the following table.

Umbral Eclipses of Saros 84
Classification Number Percent
All Umbral Eclipses 55100.0%
Central (two limits) 55100.0%
Central (one limit) 0 0.0%
Non-Central (one limit) 0 0.0%

The following string illustrates the sequence of the 72 eclipses in Saros 84: 7P 1A 11H 43T 10P

The longest and shortest eclipses of Saros 84 as well as other eclipse extrema are listed below.

          Longest  Total  Solar Eclipse:    0468 May 08      Duration = 06m56s
         Shortest  Total  Solar Eclipse:    0919 Feb 03      Duration = 00m09s

          Longest Annular Solar Eclipse:   -0055 Jun 28      Duration = 00m05s
         Shortest Annular Solar Eclipse:   -0055 Jun 28      Duration = 00m05s

          Longest Hybrid  Solar Eclipse:    0143 Oct 25      Duration = 01m18s
         Shortest Hybrid  Solar Eclipse:   -0037 Jul 09      Duration = 00m24s

          Largest Partial Solar Eclipse:    0937 Feb 14     Magnitude = 0.9686
         Smallest Partial Solar Eclipse:    1099 May 22     Magnitude = 0.0483

Local circumstances at greatest eclipse[4] for every eclipse of Saros 84 are presented in the following catalog. The sequence number in the first column links to a global map showing regions of eclipse visibility. A detailed key and additional information about the catalog can be found at: Key to Catalog of Solar Eclipse Saros Series.

For an animation showing how the eclipse path changes with each member of the series, see Saros 084 Animation.



Catalog of Solar Eclipse Saros 84

                          TD of
Seq. Rel.    Calendar   Greatest          Luna  Ecl.           Ecl.                Sun  Sun  Path Central
Num. Num.      Date      Eclipse     ΔT   Num.  Type  Gamma    Mag.   Lat.   Long. Alt  Azm Width   Dur.
                                      s                                 °      °     °    °   km

 01  -35  -0181 Apr 14  08:48:52  12379 -26972   Pb  -1.5134  0.0692  71.4S 165.3E   0  295             
 02  -34  -0163 Apr 24  15:44:48  12177 -26749   P   -1.4394  0.1987  70.9S  47.0E   0  308             
 03  -33  -0145 May 05  22:36:34  11978 -26526   P   -1.3604  0.3385  70.2S  69.7W   0  321             
 04  -32  -0127 May 16  05:28:25  11781 -26303   P   -1.2800  0.4823  69.4S 174.1E   0  333             
 05  -31  -0109 May 27  12:19:21  11586 -26080   P   -1.1974  0.6312  68.4S  58.7E   0  344             
 06  -30  -0091 Jun 06  19:11:26  11393 -25857   P   -1.1144  0.7821  67.4S  56.4W   0  355             
 07  -29  -0073 Jun 18  02:06:24  11202 -25634   P   -1.0323  0.9320  66.4S 171.7W   0    5             
 08  -28  -0055 Jun 28  09:05:34  11013 -25411   A   -0.9523  0.9991  48.5S  79.1E  17    9   10  00m05s
 09  -27  -0037 Jul 09  16:10:20  10826 -25188   H   -0.8758  1.0041  37.3S  29.9W  29   13   30  00m24s
 10  -26  -0019 Jul 19  23:20:57  10640 -24965   H   -0.8030  1.0076  30.2S 139.9W  36   17   44  00m45s

 11  -25  -0001 Jul 31  06:40:18  10456 -24742   H   -0.7362  1.0101  25.6S 108.4E  42   20   50  00m59s
 12  -24   0017 Aug 10  14:07:44  10274 -24519   H   -0.6750  1.0118  22.9S   4.9W  47   24   54  01m08s
 13  -23   0035 Aug 21  21:43:50  10093 -24296   H2  -0.6201  1.0130  21.7S 120.2W  52   27   56  01m13s
 14  -22   0053 Sep 01  05:29:38   9913 -24073   H2  -0.5723  1.0138  21.8S 122.2E  55   29   57  01m15s
 15  -21   0071 Sep 12  13:25:34   9735 -23850   H2  -0.5324  1.0142  23.1S   2.1E  58   31   57  01m15s
 16  -20   0089 Sep 22  21:31:16   9558 -23627   H2  -0.4994  1.0146  25.2S 120.3W  60   33   57  01m15s
 17  -19   0107 Oct 04  05:45:26   9382 -23404   H2  -0.4727  1.0149  28.1S 115.2E  62   33   57  01m15s
 18  -18   0125 Oct 14  14:08:53   9207 -23181   H2  -0.4532  1.0153  31.5S  11.4W  63   33   58  01m16s
 19  -17   0143 Oct 25  22:40:07   9034 -22958   H2  -0.4397  1.0158  35.1S 139.5W  64   32   60  01m18s
 20  -16   0161 Nov 05  07:17:14   8860 -22735   T   -0.4303  1.0168  38.8S  91.5E  64   29   63  01m22s

 21  -15   0179 Nov 16  15:59:19   8688 -22512   T   -0.4248  1.0180  42.3S  38.1W  65   26   68  01m27s
 22  -14   0197 Nov 27  00:44:28   8516 -22289   T   -0.4213  1.0198  45.2S 167.4W  65   21   75  01m35s
 23  -13   0215 Dec 08  09:31:55   8345 -22066   T   -0.4194  1.0220  47.3S  63.6E  65   16   83  01m46s
 24  -12   0233 Dec 18  18:17:54   8175 -21843   T   -0.4161  1.0249  48.2S  64.4W  65    9   93  02m00s
 25  -11   0251 Dec 30  03:03:44   8005 -21620   T   -0.4123  1.0281  48.0S 167.9E  65    3  105  02m16s
 26  -10   0270 Jan 09  11:45:03   7835 -21397   T   -0.4047  1.0320  46.3S  40.8E  66  356  118  02m35s
 27  -09   0288 Jan 20  20:22:45   7665 -21174   T   -0.3936  1.0362  43.4S  86.2W  67  351  133  02m57s
 28  -08   0306 Jan 31  04:53:16   7496 -20951   T   -0.3761  1.0408  39.3S 147.3E  68  347  147  03m23s
 29  -07   0324 Feb 11  13:18:54   7326 -20728   T   -0.3543  1.0457  34.3S  20.9E  69  344  163  03m50s
 30  -06   0342 Feb 21  21:36:39   7157 -20505   T   -0.3256  1.0507  28.6S 104.6W  71  342  177  04m20s

 31  -05   0360 Mar 04  05:47:15   6988 -20282   T   -0.2905  1.0557  22.4S 130.9E  73  342  192  04m50s
 32  -04   0378 Mar 15  13:50:01   6818 -20059   T   -0.2483  1.0606  15.6S   7.9E  76  342  205  05m21s
 33  -03   0396 Mar 25  21:46:08   6648 -19836   T   -0.2001  1.0653   8.6S 113.9W  78  342  218  05m50s
 34  -02   0414 Apr 06  05:35:10   6478 -19613   T   -0.1457  1.0696   1.4S 126.1E  82  343  229  06m16s
 35  -01   0432 Apr 16  13:17:57   6307 -19390   T   -0.0858  1.0734   5.9N   7.7E  85  344  239  06m37s
 36   00   0450 Apr 27  20:55:28   6136 -19167   T   -0.0211  1.0765  13.2N 109.1W  89  346  248  06m50s
 37   01   0468 May 08  04:28:58   5964 -18944   Tm   0.0474  1.0789  20.2N 135.6E  87  170  255  06m56s
 38   02   0486 May 19  11:58:26   5791 -18721   T    0.1193  1.0806  27.0N  22.0E  83  173  262  06m54s
 39   03   0504 May 29  19:26:16   5617 -18498   T    0.1927  1.0813  33.3N  90.3W  79  177  267  06m44s
 40   04   0522 Jun 10  02:52:34   5443 -18275   T    0.2675  1.0812  38.9N 159.0E  74  181  272  06m28s


Catalog of Solar Eclipse Saros 84

                          TD of
Seq. Rel.    Calendar   Greatest          Luna  Ecl.           Ecl.                Sun  Sun  Path Central
Num. Num.      Date      Eclipse     ΔT   Num.  Type  Gamma    Mag.   Lat.   Long. Alt  Azm Width   Dur.
                                      s                                 °      °     °    °   km

 41   05   0540 Jun 20  10:19:58   5268 -18052   T    0.3414  1.0801  43.7N  49.3E  70  187  275  06m07s
 42   06   0558 Jul 01  17:47:13   5090 -17829   T    0.4153  1.0783  47.5N  59.1W  65  194  278  05m45s
 43   07   0576 Jul 12  01:18:44   4910 -17606   T    0.4856  1.0755  50.0N 167.6W  61  201  280  05m21s
 44   08   0594 Jul 23  08:52:46   4730 -17383   T    0.5537  1.0720  51.3N  83.8E  56  208  280  04m58s
 45   09   0612 Aug 02  16:33:18   4576 -17160   T    0.6163  1.0679  51.5N  26.6W  52  215  280  04m35s
 46   10   0630 Aug 14  00:17:53   4432 -16937   T    0.6751  1.0631  50.9N 138.7W  47  220  278  04m13s
 47   11   0648 Aug 24  08:10:54   4289 -16714   T    0.7270  1.0579  49.8N 105.9E  43  223  274  03m52s
 48   12   0666 Sep 04  16:09:34   4112 -16491   T    0.7740  1.0524  48.5N  12.2W  39  225  269  03m31s
 49   13   0684 Sep 15  00:16:17   3932 -16268   T    0.8140  1.0468  47.2N 133.6W  35  225  263  03m11s
 50   14   0702 Sep 26  08:29:49   3758 -16045   T    0.8481  1.0410  46.2N 102.4E  32  224  253  02m51s

 51   15   0720 Oct 06  16:51:39   3614 -15822   T    0.8749  1.0355  45.5N  24.8W  29  222  241  02m32s
 52   16   0738 Oct 18  01:19:49   3470 -15599   T    0.8964  1.0302  45.0N 154.3W  26  218  226  02m13s
 53   17   0756 Oct 28  09:53:47   3327 -15376   T    0.9127  1.0254  44.9N  73.8E  24  214  208  01m55s
 54   18   0774 Nov 08  18:33:10   3183 -15153   T    0.9242  1.0210  45.0N  60.3W  22  209  186  01m38s
 55   19   0792 Nov 19  03:16:47   3039 -14930   T    0.9316  1.0172  45.2N 164.0E  21  203  162  01m23s
 56   20   0810 Nov 30  12:02:24   2896 -14707   T    0.9373  1.0139  45.7N  27.3E  20  197  138  01m08s
 57   21   0828 Dec 10  20:49:00   2752 -14484   T    0.9416  1.0113  46.6N 109.9W  19  191  117  00m56s
 58   22   0846 Dec 22  05:34:51   2608 -14261   T    0.9462  1.0090  48.0N 112.9E  18  185   98  00m45s
 59   23   0865 Jan 01  14:19:03   2465 -14038   T    0.9518  1.0073  50.1N  24.3W  17  178   84  00m36s
 60   24   0883 Jan 12  22:58:13   2321 -13815   T    0.9609  1.0057  53.3N 160.9W  15  171   73  00m27s

 61   25   0901 Jan 23  07:33:16   2179 -13592   T    0.9731  1.0042  57.8N  62.0E  13  163   67  00m19s
 62   26   0919 Feb 03  16:00:53   2072 -13369   T    0.9909  1.0020  65.2N  78.8W   6  150   62  00m09s
 63   27   0937 Feb 14  00:21:18   1964 -13146   P    1.0142  0.9686  71.1N 132.7E   0  127             
 64   28   0955 Feb 25  08:32:13   1856 -12923   P    1.0447  0.9127  71.7N   4.2W   0  114             
 65   29   0973 Mar 07  16:34:55   1748 -12700   P    1.0813  0.8457  72.0N 139.4W   0  100             
 66   30   0991 Mar 19  00:28:00   1641 -12477   P    1.1249  0.7658  72.0N  87.7E   0   86             
 67   31   1009 Mar 29  08:11:00   1542 -12254   P    1.1762  0.6719  71.8N  42.6W   0   72             
 68   32   1027 Apr 09  15:45:07   1453 -12031   P    1.2337  0.5664  71.4N 170.2W   0   59             
 69   33   1045 Apr 19  23:10:13   1363 -11808   P    1.2979  0.4491  70.7N  64.8E   0   46             
 70   34   1063 May 01  06:27:56   1273 -11585   P    1.3668  0.3234  69.9N  57.7W   0   34             

 71   35   1081 May 11  13:37:25   1183 -11362   P    1.4413  0.1880  69.0N 177.5W   0   22             
 72   36   1099 May 22  20:42:06   1094 -11139   Pe   1.5185  0.0483  68.1N  64.5E   0   11             


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]Central solar eclipses are eclipses in which the central axis of the Moon's shadow strikes the Earth's surface. All partial (penumbral) eclipses are non-central eclipses since the shadow axis misses Earth. However, umbral eclipses (total, annular and hybrid) may be either central (usually) or non-central (rarely).

[3]Hybrid eclipses are also known as annular/total eclipses. Such an eclipse is both total and annular along different sections of its umbral path. For more information, see Five Millennium Catalog of Hybrid Solar Eclipses .

[4]Greatest eclipse is defined as the instant when the axis of the Moon's shadow passes closest to the Earth's center. For total eclipses, the instant of greatest eclipse is virtually identical to the instants of greatest magnitude and greatest duration. However, for annular eclipses, the instant of greatest duration may occur at either the time of greatest eclipse or near the sunrise and sunset points of the eclipse path.


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

Special thanks to Dan McGlaun for extracting the individual eclipse maps from the Five Millennium Canon of Solar Eclipses: -1999 to +3000 for use in this catalog and for preparing the Saros series animations from these maps.

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 Solar 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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2008 Mar 21