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 58 all occur at the Moons descending node and the Moon moves northward with each eclipse. The series began with a partial eclipse in the southern hemisphere on -1114 Jun 07. The series ended with a partial eclipse in the northern hemisphere on 0166 Jul 14. The total duration of Saros series 58 is 1280.14 years. In summary:
First Eclipse = -1114 Jun 07 23:16:36 TD Last Eclipse = 0166 Jul 14 23:46:42 TD Duration of Saros 58 = 1280.14 Years
Saros 58 is composed of 72 solar eclipses as follows:
| Solar Eclipses of Saros 58 | |||
| Eclipse Type | Symbol | Number | Percent |
| All Eclipses | - | 72 | 100.0% |
| Partial | P | 28 | 38.9% |
| Annular | A | 44 | 61.1% |
| Total | T | 0 | 0.0% |
| Hybrid[3] | H | 0 | 0.0% |
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 58 appears in the following table.
| Umbral Eclipses of Saros 58 | ||
| Classification | Number | Percent |
| All Umbral Eclipses | 44 | 100.0% |
| Central (two limits) | 42 | 95.5% |
| Central (one limit) | 1 | 2.3% |
| Non-Central (one limit) | 1 | 2.3% |
The following string illustrates the sequence of the 72 eclipses in Saros 58: 21P 44A 7P
The longest and shortest eclipses of Saros 58 as well as other eclipse extrema are listed below.
Longest Annular Solar Eclipse: -0177 Dec 22 Duration = 12m08s Shortest Annular Solar Eclipse: -0735 Jan 21 Duration = 02m04s Largest Partial Solar Eclipse: -0862 Nov 06 Magnitude = 0.9616 Smallest Partial Solar Eclipse: 0166 Jul 14 Magnitude = 0.0170
Local circumstances at greatest eclipse[4] for every eclipse of Saros 58 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 058 Animation.
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 -37 -1114 Jun 07 23:16:36 26536 -38510 Pb -1.5122 0.0354 67.9S 46.6W 0 347 02 -36 -1096 Jun 18 06:37:55 26211 -38287 P -1.4461 0.1636 67.0S 169.5W 0 357 03 -35 -1078 Jun 29 13:59:55 25887 -38064 P -1.3808 0.2894 66.0S 67.9E 0 8 04 -34 -1060 Jul 09 21:26:24 25566 -37841 P -1.3195 0.4067 65.0S 55.3W 0 18 05 -33 -1042 Jul 21 04:56:30 25246 -37618 P -1.2617 0.5163 64.1S 179.1W 0 28 06 -32 -1024 Jul 31 12:33:16 24929 -37395 P -1.2098 0.6136 63.3S 55.8E 0 37 07 -31 -1006 Aug 11 20:15:48 24613 -37172 P -1.1631 0.7002 62.5S 70.5W 0 46 08 -30 -0988 Aug 22 04:05:11 24300 -36949 P -1.1224 0.7744 61.8S 161.7E 0 56 09 -29 -0970 Sep 02 12:01:56 23989 -36726 P -1.0884 0.8356 61.3S 32.3E 0 65 10 -28 -0952 Sep 12 20:06:34 23679 -36503 P -1.0613 0.8832 60.9S 99.0W 0 74 11 -27 -0934 Sep 24 04:18:02 23372 -36280 P -1.0405 0.9188 60.7S 128.2E 0 83 12 -26 -0916 Oct 04 12:36:34 23066 -36057 P -1.0263 0.9422 60.7S 6.4W 0 92 13 -25 -0898 Oct 15 21:00:40 22763 -35834 P -1.0172 0.9563 60.8S 142.3W 0 101 14 -24 -0880 Oct 26 05:30:05 22461 -35611 P -1.0132 0.9612 61.1S 80.3E 0 110 15 -23 -0862 Nov 06 14:01:39 22162 -35388 P -1.0119 0.9616 61.5S 57.6W 0 120 16 -22 -0844 Nov 16 22:36:23 21865 -35165 P -1.0139 0.9562 62.2S 163.5E 0 129 17 -21 -0826 Nov 28 07:10:28 21569 -34942 P -1.0166 0.9500 62.9S 24.6E 0 139 18 -20 -0808 Dec 08 15:43:51 21276 -34719 P -1.0193 0.9441 63.8S 114.4W 0 149 19 -19 -0790 Dec 20 00:12:19 20984 -34496 P -1.0187 0.9441 64.8S 107.6E 0 159 20 -18 -0772 Dec 30 08:37:21 20695 -34273 P -1.0163 0.9477 65.8S 30.1W 0 169 21 -17 -0753 Jan 10 16:55:10 20408 -34050 P -1.0091 0.9600 66.9S 166.3W 0 180 22 -16 -0735 Jan 21 01:05:13 20122 -33827 As -0.9961 0.9621 70.4S 57.5E 3 193 - 02m04s 23 -15 -0717 Feb 01 09:05:52 19839 -33604 A -0.9766 0.9643 78.7S 97.9W 12 226 644 02m07s 24 -14 -0699 Feb 11 16:57:17 19556 -33381 A -0.9500 0.9659 78.5S 93.3E 18 275 405 02m11s 25 -13 -0681 Feb 23 00:38:26 19250 -33158 A -0.9160 0.9674 72.7S 54.1W 23 305 296 02m16s 26 -12 -0663 Mar 05 08:08:37 18949 -32935 A -0.8739 0.9688 64.8S 176.4E 29 319 231 02m22s 27 -11 -0645 Mar 16 15:28:41 18652 -32712 A -0.8244 0.9699 56.3S 55.4E 34 327 190 02m29s 28 -10 -0627 Mar 26 22:38:48 18360 -32489 A -0.7674 0.9709 47.5S 60.5W 40 333 161 02m38s 29 -09 -0609 Apr 07 05:39:06 18073 -32266 A -0.7033 0.9715 38.6S 172.6W 45 337 142 02m49s 30 -08 -0591 Apr 17 12:31:12 17790 -32043 A -0.6331 0.9716 29.8S 78.3E 51 341 130 03m03s 31 -07 -0573 Apr 28 19:16:00 17512 -31820 A -0.5575 0.9713 21.1S 28.1W 56 344 123 03m19s 32 -06 -0555 May 09 01:55:29 17238 -31597 A -0.4784 0.9704 12.7S 132.6W 61 347 120 03m38s 33 -05 -0537 May 20 08:29:05 16968 -31374 A -0.3950 0.9690 4.7S 125.2E 67 351 121 03m58s 34 -04 -0519 May 30 15:00:44 16703 -31151 A -0.3107 0.9671 2.8N 24.2E 72 354 125 04m19s 35 -03 -0501 Jun 10 21:30:01 16441 -30928 A -0.2247 0.9647 9.6N 75.4W 77 358 131 04m40s 36 -02 -0483 Jun 21 04:00:44 16183 -30705 A -0.1407 0.9618 15.6N 174.4W 82 2 140 04m58s 37 -01 -0465 Jul 02 10:31:43 15930 -30482 Am -0.0573 0.9584 20.6N 87.3E 87 7 152 05m16s 38 00 -0447 Jul 12 17:07:51 15680 -30259 A 0.0214 0.9546 24.4N 11.4W 89 190 166 05m31s 39 01 -0429 Jul 23 23:47:53 15434 -30036 A 0.0966 0.9505 27.1N 110.5W 84 196 182 05m48s 40 02 -0411 Aug 03 06:34:26 15191 -29813 A 0.1660 0.9464 28.5N 149.1E 80 201 200 06m05s
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 03 -0393 Aug 14 13:27:45 14952 -29590 A 0.2293 0.9419 28.8N 47.0E 77 205 220 06m25s 42 04 -0375 Aug 24 20:29:30 14716 -29367 A 0.2851 0.9376 28.0N 57.6W 73 208 241 06m47s 43 05 -0357 Sep 05 03:40:10 14484 -29144 A 0.3334 0.9333 26.4N 164.8W 70 211 262 07m13s 44 06 -0339 Sep 15 10:58:24 14255 -28921 A 0.3753 0.9293 24.2N 85.5E 68 212 283 07m41s 45 07 -0321 Sep 26 18:26:32 14029 -28698 A 0.4086 0.9256 21.6N 27.3W 66 212 303 08m14s 46 08 -0303 Oct 07 02:02:17 13806 -28475 A 0.4353 0.9223 18.8N 142.4W 64 211 321 08m49s 47 09 -0285 Oct 18 09:46:36 13586 -28252 A 0.4547 0.9195 15.9N 100.0E 63 209 337 09m27s 48 10 -0267 Oct 28 17:36:16 13370 -28029 A 0.4695 0.9174 13.1N 19.2W 62 206 350 10m06s 49 11 -0249 Nov 09 01:32:18 13156 -27806 A 0.4792 0.9158 10.6N 140.1W 61 203 360 10m44s 50 12 -0231 Nov 19 09:31:10 12944 -27583 A 0.4864 0.9150 8.5N 98.3E 61 199 366 11m19s 51 13 -0213 Nov 30 17:32:23 12736 -27360 A 0.4916 0.9148 7.0N 23.9W 61 195 370 11m47s 52 14 -0195 Dec 11 01:33:19 12530 -27137 A 0.4971 0.9153 6.3N 146.0W 60 191 370 12m04s 53 15 -0177 Dec 22 09:33:34 12326 -26914 A 0.5030 0.9165 6.4N 92.1E 60 186 367 12m08s 54 16 -0158 Jan 01 17:29:28 12125 -26691 A 0.5128 0.9184 7.4N 28.9W 59 182 361 11m54s 55 17 -0140 Jan 13 01:20:54 11926 -26468 A 0.5265 0.9208 9.6N 148.8W 58 178 352 11m25s 56 18 -0122 Jan 23 09:05:39 11730 -26245 A 0.5456 0.9237 12.7N 92.6E 57 173 343 10m42s 57 19 -0104 Feb 03 16:44:32 11535 -26022 A 0.5696 0.9270 16.8N 24.9W 55 170 332 09m50s 58 20 -0086 Feb 14 00:13:10 11343 -25799 A 0.6022 0.9307 22.1N 140.3W 53 166 323 08m51s 59 21 -0068 Feb 25 07:35:07 11152 -25576 A 0.6405 0.9345 28.2N 105.4E 50 162 315 07m51s 60 22 -0050 Mar 07 14:46:58 10964 -25353 A 0.6874 0.9383 35.2N 7.1W 46 159 312 06m51s 61 23 -0032 Mar 17 21:52:49 10777 -25130 A 0.7394 0.9421 43.1N 119.0W 42 155 314 05m54s 62 24 -0014 Mar 29 04:48:09 10592 -24907 A 0.8002 0.9456 52.0N 130.0E 37 150 331 05m02s 63 25 0004 Apr 08 11:39:14 10409 -24684 A 0.8647 0.9486 61.7N 16.5E 30 142 375 04m15s 64 26 0022 Apr 19 18:22:41 10227 -24461 A 0.9361 0.9506 72.1N 109.1W 20 120 523 03m35s 65 27 0040 Apr 30 01:03:17 10046 -24238 A+ 1.0100 0.9522 70.5N 69.8E 0 43 - - 66 28 0058 May 11 07:39:16 9867 -24015 P 1.0882 0.8176 69.7N 42.4W 0 31 67 29 0076 May 21 14:15:48 9689 -23792 P 1.1664 0.6818 68.8N 154.2W 0 20 68 30 0094 Jun 01 20:51:32 9512 -23569 P 1.2458 0.5428 67.8N 94.7E 0 9 69 31 0112 Jun 12 03:29:03 9337 -23346 P 1.3243 0.4048 66.8N 16.2W 0 358 70 32 0130 Jun 23 10:09:31 9162 -23123 P 1.4009 0.2693 65.8N 127.5W 0 348 71 33 0148 Jul 03 16:55:07 8988 -22900 P 1.4741 0.1394 64.9N 120.3E 0 339 72 34 0166 Jul 14 23:46:42 8816 -22677 Pe 1.5428 0.0170 64.0N 7.0E 0 329
[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.
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..
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:
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.
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)"