Annular Solar Eclipses with Durations Exceeding 09m 00s

-3999 to -3000 ( 4000 BCE to 3001 BCE )

Introduction

Eclipses of the Sun can only occur during the New Moon phase. It is then possible for the Moon's penumbral, umbral or antumbral shadows to sweep across Earth's surface thereby producing an eclipse. Not all New Moons result in a solar eclipse because the Moon's orbit is tilted about 5 degrees to Earth's about the Sun. Consequently, the Moon's shadows miss Earth at most New Moon's. Nevertheless, there are 2 to 5 solar eclipses every calendar year. There are four types of solar eclipses: partial, annular, total and hybrid[1]. For more information, see Basic Solar Eclipse Geometry.


Solar Eclipses: -3999 to -3000 ( 4000 BCE to 3001 BCE)

During the 10 century period -3999 to -3000 ( 4000 BCE to 3001 BCE[2]), Earth experienced 2387 solar eclipses. The following table shows the number of eclipses of each type over this period.

Solar Eclipses: -3999 - -3000
Eclipse Type Symbol Number Percent
All Eclipses - 2387100.0%
PartialP 846 35.4%
AnnularA 803 33.6%
TotalT 634 26.6%
HybridH 104 4.4%

Annular and total eclipses 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 during the 31st century BCE appears in the following three tables (no Hybrids are included since all are central with two limits).

Annular and Total Eclipses
Classification Number Percent
All 1437100.0%
Central (two limits) 1411 98.2%
Central (one limit) 16 1.1%
Non-Central (one limit) 10 0.7%
Annular Eclipses
Classification Number Percent
All Annular Eclipses 803100.0%
Central (two limits) 787 98.0%
Central (one limit) 11 1.4%
Non-Central (one limit) 5 0.6%
Total Eclipses
Classification Number Percent
All Total Eclipses 634100.0%
Central (two limits) 624 98.4%
Central (one limit) 5 0.8%
Non-Central (one limit) 5 0.8%

Long Annular Solar Eclipses

The longest central[3] solar eclipses of this period are:

          Longest Total   Solar Eclipse:   -3735 Apr 07      Duration = 07m12s
          Longest Annular Solar Eclipse:   -3124 Nov 24      Duration = 11m36s
          Longest Hybrid  Solar Eclipse:   -3011 May 11      Duration = 01m47s

Long Annular Solar Eclipses are relatively rare. The following catalog lists concise details and local circumstances for all Annular Solar Eclipses with durations exceeding 09m 00s. The Key to Catalog of Solar Eclipses contains a detailed description and explanation of each item listed in the catalog. For eclipses from -1999 to +3000, the Catalog Number in the first column serves as a link to a global map of Earth showing the geographic visibility of each eclipse. The date and time of the eclipse are given at the instant of greatest eclipse[4] in Terrestrial Dynamical Time. The Saros Number in the sixth column links to a table listing all eclipses in the Saros series. The Key to Solar Eclipse Maps explains the features plotted on each map.

The data presented here are based in part on the Five Millennium Canon of Solar Eclipses: -1999 to +3000.



Catalog of Long Annular Solar Eclipses: -3999 to -3000


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

----- -3999 Dec 08  08:52:31  86400 -74187  -51   A    0.4340  0.9238   8.1N  51.3E  64 191  318  10m34s
----- -3984 Aug 25  17:49:37  86400 -74005  -48   A   -0.2650  0.9242   6.1N  91.2W  75  17  295  10m06s
----- -3981 Dec 19  16:34:47  86400 -73964  -51   A    0.4167  0.9276   4.3N  65.5W  65 187  299  10m14s
----- -3966 Sep 06  01:25:58  86400 -73782  -48   A   -0.2438  0.9221   4.8N 154.8E  76  21  302  10m02s
----- -3963 Dec 30  00:10:53  86400 -73741  -51   A    0.3937  0.9320   0.8N 179.4E  67 183  276  09m39s
----- -3948 Sep 16  09:10:41  86400 -73559  -48   A   -0.2294  0.9204   2.4N  38.4E  77  24  308  09m54s
----- -3930 Sep 27  17:03:06  86400 -73336  -48   A   -0.2207  0.9194   0.8S  80.0W  77  27  312  09m44s
----- -3912 Oct 08  01:00:13  86400 -73113  -48   A   -0.2156  0.9190   4.7S 160.1E  78  29  313  09m32s
----- -3894 Oct 19  09:01:45  86400 -72890  -48   A   -0.2137  0.9193   9.0S  39.1E  78  30  312  09m18s
----- -3877 Nov 10  18:11:25  86400 -72679  -58   A    0.4620  0.9210  16.8N  79.8W  62 210  332  09m04s

----- -3876 Oct 29  17:05:10  86400 -72667  -48   A   -0.2128  0.9203  13.6S  82.4W  78  30  308  09m03s
----- -3859 Nov 21  02:11:39  86400 -72456  -58   A    0.4662  0.9208  13.2N 159.0E  62 207  333  09m28s
----- -3841 Dec 02  10:07:27  86400 -72233  -58   A    0.4733  0.9213  10.4N  39.0E  62 204  333  09m49s
----- -3823 Dec 12  17:54:49  86400 -72010  -58   A    0.4869  0.9224   8.6N  78.8W  61 200  332  10m05s
----- -3807 Aug 19  02:08:39  86400 -71816  -45   A    0.0432  0.9289  24.4N 148.7E  87 185  267  09m21s
----- -3805 Dec 24  01:34:52  86400 -71787  -58   A    0.5059  0.9238   7.9N 165.3E  60 196  330  10m16s
----- -3790 Sep 10  10:20:58  86400 -71605  -55   A   -0.6736  0.9264  25.4S  17.3E  47  13  372  09m16s
----- -3789 Aug 30  09:38:40  86400 -71593  -45   A    0.0168  0.9270  20.5N  36.8E  89 188  274  09m42s
----- -3786 Jan 03  09:04:33  86400 -71564  -58   A    0.5331  0.9257   8.5N  51.9E  58 192  329  10m18s
----- -3772 Sep 20  18:11:28  86400 -71382  -55   A   -0.6855  0.9225  29.5S 103.0W  47  17  398  09m23s

----- -3771 Sep 09  17:18:38  86400 -71370  -45   A   -0.0018  0.9255  16.3N  78.0W  90  95  281  09m56s
----- -3768 Jan 14  16:26:01  86400 -71341  -58   A    0.5668  0.9278  10.3N  59.6W  55 187  328  10m11s
----- -3754 Oct 02  02:06:38  86400 -71159  -55   A   -0.6930  0.9194  33.7S 135.7E  46  20  418  09m21s
----- -3753 Sep 21  01:07:02  86400 -71147  -45   A   -0.0139  0.9245  11.9N 164.7E  89  16  285  10m01s
----- -3750 Jan 24  23:35:01  86400 -71118  -58   A    0.6101  0.9301  13.7N 168.4W  52 183  331  09m50s
----- -3736 Oct 12  10:06:40  86400 -70936  -55   A   -0.6960  0.9170  37.9S  13.4E  46  23  434  09m15s
----- -3735 Oct 01  09:02:53  86400 -70924  -45   A   -0.0201  0.9240   7.4N  45.3E  89  18  286  10m00s
----- -3732 Feb 05  06:36:06  86400 -70895  -58   A    0.6596  0.9323  18.3N  84.2E  49 179  337  09m18s
----- -3718 Oct 23  18:08:24  86400 -70713  -55   A   -0.6975  0.9153  42.3S 109.0W  46  25  444  09m03s
----- -3717 Oct 12  17:03:16  86400 -70701  -45   A   -0.0233  0.9243   2.8N  75.3W  89  18  286  09m54s

----- -3699 Oct 23  01:08:29  86400 -70478  -45   A   -0.0229  0.9252   1.7S 162.8E  89  18  282  09m42s
----- -3681 Nov 03  09:15:14  86400 -70255  -45   A   -0.0220  0.9268   6.3S  40.6E  89  17  275  09m26s
----- -3663 Nov 13  17:22:02  86400 -70032  -45   A   -0.0217  0.9292  10.7S  81.5W  89  16  265  09m06s
----- -3550 Oct 26  07:47:49  86400 -68635  -33   A    0.6154  0.9189  33.9N  76.5E  52 202  386  09m16s
----- -3532 Nov 05  15:51:26  86400 -68412  -33   A    0.6165  0.9178  29.7N  46.0W  52 200  392  09m50s
----- -3514 Nov 16  23:52:36  86400 -68189  -33   A    0.6158  0.9174  25.8N 168.2W  52 197  394  10m20s
----- -3496 Nov 27  07:50:22  86400 -67966  -33   A    0.6126  0.9177  22.1N  70.4E  52 194  392  10m45s
----- -3478 Dec 08  15:42:55  86400 -67743  -33   A    0.6051  0.9188  18.6N  49.8W  53 190  385  11m02s
----- -3469 Nov 29  10:02:09  86288 -67632  -52   A    0.9485  0.9079  48.9N  64.8E  18 217 1098  09m03s
----- -3460 Dec 18  23:27:45  85992 -67520  -33   A    0.5913  0.9204  15.2N 169.7W  54 186  373  11m10s

----- -3451 Dec 09  17:52:54  85700 -67409  -52   A    0.9575  0.9094  49.4N  59.5W  16 212 1199  09m07s
----- -3442 Dec 30  07:04:48  85406 -67297  -33   A    0.5711  0.9227  12.1N  71.8E  55 182  356  11m04s
----- -3427 Sep 16  16:04:48  84929 -67115  -30   A   -0.4001  0.9254   8.2S  76.0W  66  26  303  09m03s
----- -3423 Jan 09  14:32:20  84821 -67074  -33   A    0.5429  0.9254   9.0N  44.1W  57 178  334  10m45s
----- -3409 Sep 27  23:56:06  84346 -66892  -30   A   -0.3895  0.9222  11.2S 162.9E  67  28  315  09m10s
----- -3405 Jan 20  21:50:21  84239 -66851  -33   A    0.5070  0.9285   6.3N 157.3W  59 173  310  10m12s
----- -3391 Oct 08  07:52:10  83765 -66669  -30   A   -0.3829  0.9197  14.9S  40.6E  67  30  326  09m13s
----- -3387 Jan 31  04:57:37  83658 -66628  -33   A    0.4619  0.9319   3.8N  92.7E  62 169  286  09m30s
----- -3373 Oct 19  15:52:06  83186 -66446  -30   A   -0.3797  0.9178  19.2S  82.7W  68  32  334  09m14s
----- -3355 Oct 29  23:54:14  82609 -66223  -30   A   -0.3789  0.9165  23.7S 153.6E  68  32  339  09m13s


Catalog of Long Annular Solar Eclipses: -3999 to -3000


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

----- -3337 Nov 10  07:55:37  82034 -66000  -30   A   -0.3775  0.9161  28.2S  30.5E  68  32  341  09m09s
----- -3319 Nov 20  15:54:50  81461 -65777  -30   A   -0.3745  0.9164  32.5S  91.6W  68  30  341  09m03s
----- -3250 Sep 10  00:26:11  79293 -64926  -27   A    0.1724  0.9249  24.9N 147.8E  80 194  287  09m29s
----- -3232 Sep 20  08:09:28  78730 -64703  -27   A    0.1569  0.9218  20.0N  29.6E  81 196  299  10m03s
----- -3214 Oct 01  15:59:44  78169 -64480  -27   A    0.1475  0.9192  15.2N  90.7W  81 198  309  10m31s
----- -3196 Oct 11  23:54:09  77610 -64257  -27   A    0.1417  0.9173  10.4N 147.8E  82 198  317  10m54s
----- -3178 Oct 23  07:53:28  77052 -64034  -27   A    0.1400  0.9160   5.7N  25.0E  82 198  322  11m13s
----- -3160 Nov 02  15:53:53  76497 -63811  -27   A    0.1388  0.9155   1.1N  98.1W  82 197  324  11m26s
----- -3142 Nov 13  23:55:05  75944 -63588  -27   A    0.1385  0.9158   3.1S 138.8E  82 196  323  11m35s
----- -3124 Nov 24  07:52:34  75393 -63365  -27   A    0.1349  0.9167   7.2S  16.7E  82 193  319  11m36s

----- -3106 Dec 05  15:47:42  74844 -63142  -27   Am   0.1294  0.9184  10.8S 104.6W  83 190  312  11m29s
----- -3088 Dec 15  23:36:27  74296 -62919  -27   A    0.1181  0.9207  14.2S 136.0E  83 186  302  11m10s
----- -3070 Dec 27  07:18:24  73751 -62696  -27   A    0.1012  0.9236  17.1S  18.6E  84 182  290  10m40s
----- -3055 Sep 13  16:26:20  73308 -62514  -24   A    0.0687  0.9222  16.9N 118.0W  86 206  295  09m12s
----- -3051 Jan 06  14:51:34  73208 -62473  -27   A    0.0767  0.9270  19.6S  96.2W  86 177  275  10m00s
----- -3037 Sep 25  00:10:45  72766 -62291  -24   A    0.0841  0.9197  13.6N 123.9E  85 208  305  09m24s
----- -3033 Jan 17  22:16:28  72667 -62250  -27   A    0.0452  0.9308  21.5S 151.3E  88 172  260  09m11s
----- -3019 Oct 05  08:00:51  72227 -62068  -24   A    0.0948  0.9178   9.7N   4.0E  85 209  313  09m35s
----- -3001 Oct 16  15:56:30  71689 -61845  -24   Am   0.1007  0.9165   5.4N 117.6W  84 210  319  09m46s


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.


Footnotes

[1] Hybrid eclipses are also known as annular/total eclipses. Such an eclipse is both total and annular along different sections of its umbral path. (See: Five Millennium Catalog of Hybrid Solar Eclipses)

[2] The terms BCE and CE are abbreviations for "Before Common Era" and "Common Era," respectively. They are the secular equivalents to the BC and AD dating conventions. (See: Year Dating Conventions )

[3] 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).

[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.


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.

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)"


Eclipse Links

Five Millennium Catalog of Solar Eclipses

Ten Millennium Catalog of Long Solar Eclipses

Catalog of Solar Eclipse Saros Series

World Atlas of Solar Eclipse Paths

2007 May 11