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 129 all occur at the Moons ascending node and the Moon moves southward with each eclipse. The series began with a partial eclipse in the northern hemisphere on 1103 Oct 03. The series will end with a partial eclipse in the southern hemisphere on 2528 Feb 21. The total duration of Saros series 129 is 1424.38 years. In summary:
First Eclipse = 1103 Oct 03 03:17:50 TD Last Eclipse = 2528 Feb 21 12:36:45 TD Duration of Saros 129 = 1424.38 Years
Saros 129 is composed of 80 solar eclipses as follows:
Solar Eclipses of Saros 129 | |||
Eclipse Type | Symbol | Number | Percent |
All Eclipses | - | 80 | 100.0% |
Partial | P | 39 | 48.8% |
Annular | A | 29 | 36.2% |
Total | T | 9 | 11.2% |
Hybrid[3] | H | 3 | 3.8% |
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 129 appears in the following table.
Umbral Eclipses of Saros 129 | ||
Classification | Number | Percent |
All Umbral Eclipses | 41 | 100.0% |
Central (two limits) | 40 | 97.6% |
Central (one limit) | 1 | 2.4% |
Non-Central (one limit) | 0 | 0.0% |
The following string illustrates the sequence of the 80 eclipses in Saros 129: 20P 29A 3H 9T 19P
The longest and shortest eclipses of Saros 129 as well as other eclipse extrema are listed below.
Longest Total Solar Eclipse: 2131 Jun 25 Duration = 03m43s Shortest Total Solar Eclipse: 2041 Apr 30 Duration = 01m51s Longest Annular Solar Eclipse: 1698 Oct 04 Duration = 05m10s Shortest Annular Solar Eclipse: 1969 Mar 18 Duration = 00m26s Longest Hybrid Solar Eclipse: 2023 Apr 20 Duration = 01m16s Shortest Hybrid Solar Eclipse: 1987 Mar 29 Duration = 00m08s Largest Partial Solar Eclipse: 1446 Apr 26 Magnitude = 0.9147 Smallest Partial Solar Eclipse: 2528 Feb 21 Magnitude = 0.0218
Local circumstances at greatest eclipse[4] for every eclipse of Saros 129 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 129 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 -32 1103 Oct 03 03:17:50 1076 -11085 Pb 1.5318 0.0556 71.7N 157.0W 0 250 02 -31 1121 Oct 13 10:56:27 1004 -10862 P 1.5060 0.1012 71.2N 74.2E 0 236 03 -30 1139 Oct 24 18:42:07 932 -10639 P 1.4859 0.1369 70.6N 55.8W 0 223 04 -29 1157 Nov 04 02:33:58 868 -10416 P 1.4710 0.1634 69.7N 173.3E 0 210 05 -28 1175 Nov 15 10:31:20 815 -10193 P 1.4605 0.1821 68.7N 41.7E 0 198 06 -27 1193 Nov 25 18:32:28 761 -9970 P 1.4531 0.1954 67.7N 90.3W 0 186 07 -26 1211 Dec 07 02:36:45 707 -9747 P 1.4484 0.2039 66.6N 137.6E 0 175 08 -25 1229 Dec 17 10:40:21 653 -9524 P 1.4431 0.2132 65.5N 6.1E 0 164 09 -24 1247 Dec 28 18:44:27 600 -9301 P 1.4383 0.2213 64.5N 125.1W 0 154 10 -23 1266 Jan 08 02:44:29 552 -9078 P 1.4301 0.2350 63.6N 105.2E 0 144 11 -22 1284 Jan 19 10:41:02 506 -8855 P 1.4194 0.2525 62.8N 23.4W 0 134 12 -21 1302 Jan 29 18:29:48 461 -8632 P 1.4025 0.2805 62.1N 149.8W 0 125 13 -20 1320 Feb 10 02:13:16 429 -8409 P 1.3813 0.3154 61.5N 85.4E 0 116 14 -19 1338 Feb 20 09:47:30 396 -8186 P 1.3524 0.3632 61.2N 37.0W 0 107 15 -18 1356 Mar 02 17:13:18 365 -7963 P 1.3168 0.4225 60.9N 157.3W 0 98 16 -17 1374 Mar 14 00:29:08 337 -7740 P 1.2731 0.4957 60.9N 85.0E 0 89 17 -16 1392 Mar 24 07:36:47 308 -7517 P 1.2226 0.5809 60.9N 30.6W 0 80 18 -15 1410 Apr 04 14:35:19 282 -7294 P 1.1642 0.6799 61.2N 144.0W 0 71 19 -14 1428 Apr 14 21:25:47 257 -7071 P 1.0987 0.7916 61.6N 104.5E 0 62 20 -13 1446 Apr 26 04:09:04 232 -6848 P 1.0268 0.9147 62.1N 5.3W 0 54 21 -12 1464 May 06 10:46:58 213 -6625 A 0.9502 0.9367 71.2N 72.8W 18 83 771 04m17s 22 -11 1482 May 17 17:19:00 195 -6402 A 0.8681 0.9420 73.4N 137.1W 29 116 434 04m14s 23 -10 1500 May 27 23:48:31 177 -6179 A 0.7832 0.9461 71.5N 152.3E 38 143 320 04m13s 24 -09 1518 Jun 08 06:15:24 163 -5956 A 0.6955 0.9496 67.0N 73.3E 46 162 259 04m13s 25 -08 1536 Jun 18 12:43:21 149 -5733 A 0.6079 0.9523 61.0N 13.5W 52 174 220 04m17s 26 -07 1554 Jun 29 19:10:40 135 -5510 A 0.5192 0.9546 54.0N 104.9W 58 182 195 04m22s 27 -06 1572 Jul 10 01:42:42 125 -5287 A 0.4338 0.9562 46.6N 159.6E 64 187 177 04m30s 28 -05 1590 Jul 31 08:17:39 114 -5064 A 0.3503 0.9574 38.8N 61.5E 69 191 166 04m38s 29 -04 1608 Aug 10 15:00:06 101 -4841 A 0.2722 0.9581 31.0N 39.6W 74 194 158 04m46s 30 -03 1626 Aug 21 21:47:42 86 -4618 A 0.1975 0.9584 23.1N 142.8W 78 195 154 04m54s 31 -02 1644 Sep 01 04:45:28 53 -4395 A 0.1307 0.9584 15.4N 110.9E 82 197 152 05m00s 32 -01 1662 Sep 12 11:50:45 33 -4172 A 0.0694 0.9581 7.9N 2.6E 86 197 153 05m05s 33 00 1680 Sep 22 19:06:23 14 -3949 A 0.0160 0.9578 0.7N 108.2W 89 198 153 05m08s 34 01 1698 Oct 04 02:31:25 8 -3726 A -0.0305 0.9573 6.2S 138.8E 88 17 155 05m10s 35 02 1716 Oct 15 10:07:39 10 -3503 A -0.0687 0.9570 12.5S 23.5E 86 16 157 05m10s 36 03 1734 Oct 26 17:53:28 11 -3280 A -0.0996 0.9567 18.2S 93.8W 84 14 159 05m08s 37 04 1752 Nov 06 01:48:14 13 -3057 A -0.1239 0.9567 23.2S 147.4E 83 12 159 05m03s 38 05 1770 Nov 17 09:51:53 16 -2834 A -0.1416 0.9571 27.3S 27.1E 82 9 158 04m56s 39 06 1788 Nov 27 18:02:54 17 -2611 A -0.1542 0.9579 30.4S 94.3W 81 4 155 04m46s 40 07 1806 Dec 10 02:19:40 12 -2388 A -0.1627 0.9591 32.4S 143.4E 80 360 151 04m32s
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 08 1824 Dec 20 10:40:36 10 -2165 Am -0.1685 0.9610 33.3S 20.4E 80 354 144 04m15s 42 09 1842 Dec 31 19:04:24 6 -1942 A -0.1727 0.9634 33.1S 103.2W 80 349 135 03m54s 43 10 1861 Jan 11 03:29:23 8 -1719 A -0.1766 0.9664 31.8S 132.7E 80 344 123 03m30s 44 11 1879 Jan 22 11:53:08 -5 -1496 A -0.1824 0.9700 29.8S 8.5E 79 340 110 03m03s 45 12 1897 Feb 01 20:15:15 -6 -1273 A -0.1903 0.9742 27.1S 115.7W 79 336 94 02m34s 46 13 1915 Feb 14 04:33:20 17 -1050 A -0.2024 0.9789 24.0S 120.7E 78 333 77 02m04s 47 14 1933 Feb 24 12:46:39 24 -827 A -0.2191 0.9841 20.8S 2.1W 77 331 58 01m32s 48 15 1951 Mar 07 20:53:40 30 -604 A -0.2420 0.9896 17.7S 123.5W 76 330 38 00m59s 49 16 1969 Mar 18 04:54:57 39 -381 A -0.2704 0.9954 14.8S 116.3E 74 330 16 00m26s 50 17 1987 Mar 29 12:49:47 55 -158 H -0.3053 1.0013 12.3S 2.3W 72 331 5 00m08s 51 18 2005 Apr 08 20:36:51 65 65 H -0.3473 1.0074 10.6S 119.0W 70 332 27 00m42s 52 19 2023 Apr 20 04:17:56 73 288 H -0.3952 1.0132 9.6S 125.8E 67 334 49 01m16s 53 20 2041 Apr 30 11:52:21 85 511 T -0.4492 1.0189 9.6S 12.2E 63 337 72 01m51s 54 21 2059 May 11 19:22:16 113 734 T -0.5080 1.0242 10.7S 100.4W 59 340 95 02m23s 55 22 2077 May 22 02:46:05 152 957 T -0.5725 1.0290 13.1S 148.3E 55 343 119 02m54s 56 23 2095 Jun 02 10:07:40 192 1180 T -0.6396 1.0332 16.7S 37.2E 50 347 145 03m18s 57 24 2113 Jun 13 17:26:00 235 1403 T -0.7097 1.0367 21.7S 73.8W 45 351 174 03m36s 58 25 2131 Jun 25 00:43:16 280 1626 T -0.7813 1.0393 28.1S 174.7E 38 356 211 03m43s 59 26 2149 Jul 05 07:59:34 327 1849 T -0.8544 1.0408 36.3S 62.4E 31 0 264 03m38s 60 27 2167 Jul 16 15:17:48 366 2072 T -0.9262 1.0410 46.8S 52.4W 22 6 368 03m19s 61 28 2185 Jul 26 22:38:16 407 2295 Ts -0.9967 1.0370 67.9S 178.5W 1 21 - 02m27s 62 29 2203 Aug 08 06:01:56 450 2518 P -1.0650 0.8898 70.1S 57.0E 0 34 63 30 2221 Aug 18 13:30:39 495 2741 P -1.1295 0.7673 70.9S 67.8W 0 47 64 31 2239 Aug 29 21:05:15 543 2964 P -1.1897 0.6529 71.5S 165.5E 0 60 65 32 2257 Sep 09 04:46:44 592 3187 P -1.2448 0.5480 71.9S 36.6E 0 73 66 33 2275 Sep 20 12:34:54 643 3410 P -1.2949 0.4527 72.0S 94.3W 0 87 67 34 2293 Sep 30 20:31:28 697 3633 P -1.3386 0.3697 72.0S 132.7E 0 100 68 35 2311 Oct 13 04:36:09 752 3856 P -1.3762 0.2985 71.6S 2.1W 0 114 69 36 2329 Oct 23 12:48:23 810 4079 P -1.4082 0.2383 71.1S 138.5W 0 127 70 37 2347 Nov 03 21:09:19 870 4302 P -1.4337 0.1903 70.4S 83.4E 0 140 71 38 2365 Nov 14 05:37:33 931 4525 P -1.4540 0.1526 69.5S 55.9W 0 153 72 39 2383 Nov 25 14:13:32 995 4748 P -1.4683 0.1260 68.6S 163.5E 0 165 73 40 2401 Dec 05 22:53:37 1061 4971 P -1.4797 0.1049 67.5S 22.4E 0 176 74 41 2419 Dec 17 07:40:07 1129 5194 P -1.4865 0.0925 66.5S 119.7W 0 187 75 42 2437 Dec 27 16:29:07 1199 5417 P -1.4920 0.0824 65.5S 98.1E 0 198 76 43 2456 Jan 08 01:21:04 1271 5640 P -1.4954 0.0760 64.5S 44.5W 0 208 77 44 2474 Jan 18 10:12:11 1345 5863 P -1.5000 0.0673 63.6S 173.5E 0 218 78 45 2492 Jan 29 19:03:43 1422 6086 P -1.5046 0.0582 62.9S 31.6E 0 228 79 46 2510 Feb 10 03:51:56 1500 6309 P -1.5123 0.0430 62.2S 109.1W 0 238 80 47 2528 Feb 21 12:36:45 1580 6532 Pe -1.5232 0.0218 61.8S 111.1E 0 247
[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)"