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 32 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 -1957 Sep 24. The series ended with a partial eclipse in the northern hemisphere on -0460 Mar 10. The total duration of Saros series 32 is 1496.50 years. In summary:
First Eclipse = -1957 Sep 24 05:12:58 TD Last Eclipse = -0460 Mar 10 15:30:30 TD Duration of Saros 32 = 1496.50 Years
Saros 32 is composed of 84 solar eclipses as follows:
| Solar Eclipses of Saros 32 | |||
| Eclipse Type | Symbol | Number | Percent |
| All Eclipses | - | 84 | 100.0% |
| Partial | P | 40 | 47.6% |
| Annular | A | 2 | 2.4% |
| Total | T | 39 | 46.4% |
| Hybrid[3] | H | 3 | 3.6% |
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 32 appears in the following table.
| Umbral Eclipses of Saros 32 | ||
| Classification | Number | Percent |
| All Umbral Eclipses | 44 | 100.0% |
| Central (two limits) | 43 | 97.7% |
| Central (one limit) | 0 | 0.0% |
| Non-Central (one limit) | 1 | 2.3% |
The following string illustrates the sequence of the 84 eclipses in Saros 32: 19P 2A 3H 39T 21P
The longest and shortest eclipses of Saros 32 as well as other eclipse extrema are listed below.
Longest Total Solar Eclipse: -1019 Apr 09 Duration = 06m26s Shortest Total Solar Eclipse: -1524 Jun 09 Duration = 01m37s Longest Annular Solar Eclipse: -1614 Apr 17 Duration = 01m04s Shortest Annular Solar Eclipse: -1596 Apr 27 Duration = 00m31s Longest Hybrid Solar Eclipse: -1542 May 30 Duration = 01m09s Shortest Hybrid Solar Eclipse: -1578 May 08 Duration = 00m03s Largest Partial Solar Eclipse: -0821 Aug 06 Magnitude = 0.8944 Smallest Partial Solar Eclipse: -1957 Sep 24 Magnitude = 0.0061
Local circumstances at greatest eclipse[4] for every eclipse of Saros 32 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 032 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 -45 -1957 Sep 24 05:12:58 43989 -48933 Pb -1.5660 0.0061 60.7S 153.1W 0 77 02 -44 -1939 Oct 04 13:00:58 43570 -48710 P -1.5481 0.0367 60.5S 79.5E 0 86 03 -43 -1921 Oct 15 20:56:53 43152 -48487 P -1.5362 0.0567 60.5S 49.8W 0 95 04 -42 -1903 Oct 26 04:57:57 42737 -48264 P -1.5275 0.0711 60.7S 179.5E 0 104 05 -41 -1885 Nov 06 13:03:01 42324 -48041 P -1.5214 0.0810 61.1S 47.8E 0 113 06 -40 -1867 Nov 16 21:10:19 41912 -47818 P -1.5165 0.0884 61.6S 84.5W 0 123 07 -39 -1849 Nov 28 05:19:01 41503 -47595 P -1.5121 0.0947 62.2S 142.6E 0 132 08 -38 -1831 Dec 08 13:25:07 41096 -47372 P -1.5050 0.1053 63.0S 10.2E 0 142 09 -37 -1813 Dec 19 21:29:10 40691 -47149 P -1.4956 0.1196 63.9S 122.0W 0 152 10 -36 -1795 Dec 30 05:27:20 40287 -46926 P -1.4807 0.1432 64.9S 106.9E 0 162 11 -35 -1776 Jan 10 13:21:28 39886 -46703 P -1.4616 0.1738 66.0S 23.6W 0 173 12 -34 -1758 Jan 20 21:06:35 39487 -46480 P -1.4347 0.2181 67.1S 152.3W 0 183 13 -33 -1740 Feb 01 04:46:24 39090 -46257 P -1.4026 0.2717 68.1S 79.9E 0 195 14 -32 -1722 Feb 11 12:16:43 38695 -46034 P -1.3621 0.3405 69.1S 46.2W 0 206 15 -31 -1704 Feb 22 19:40:22 38301 -45811 P -1.3152 0.4213 70.0S 171.1W 0 219 16 -30 -1686 Mar 05 02:54:52 37910 -45588 P -1.2597 0.5183 70.7S 65.7E 0 231 17 -29 -1668 Mar 15 10:04:15 37521 -45365 P -1.1992 0.6254 71.3S 56.8W 0 245 18 -28 -1650 Mar 26 17:06:50 37134 -45142 P -1.1319 0.7457 71.6S 177.9W 0 258 19 -27 -1632 Apr 06 00:04:42 36748 -44919 P -1.0596 0.8763 71.7S 62.0E 0 272 20 -26 -1614 Apr 17 06:58:45 36365 -44696 A -0.9828 0.9847 67.3S 81.9W 10 308 317 01m04s 21 -25 -1596 Apr 27 13:51:25 35984 -44473 A -0.9034 0.9937 52.6S 146.5E 25 332 51 00m31s 22 -24 -1578 May 08 20:43:09 35605 -44250 H -0.8219 1.0005 41.0S 32.1E 34 341 3 00m03s 23 -23 -1560 May 19 03:35:10 35228 -44027 H -0.7395 1.0062 30.8S 78.7W 42 346 32 00m37s 24 -22 -1542 May 30 10:30:04 34853 -43804 H -0.6579 1.0109 21.9S 171.6E 49 351 50 01m09s 25 -21 -1524 Jun 09 17:28:51 34480 -43581 T -0.5781 1.0148 14.0S 62.1E 55 355 62 01m37s 26 -20 -1506 Jun 21 00:32:06 34108 -43358 T -0.5007 1.0180 7.2S 47.5W 60 359 71 02m00s 27 -19 -1488 Jul 01 07:42:06 33739 -43135 T -0.4278 1.0204 1.5S 158.0W 65 3 77 02m15s 28 -18 -1470 Jul 12 14:59:27 33372 -42912 T -0.3600 1.0221 2.9N 90.5E 69 7 81 02m24s 29 -17 -1452 Jul 22 22:25:55 33007 -42689 T -0.2987 1.0233 6.0N 22.8W 73 12 83 02m27s 30 -16 -1434 Aug 03 05:59:35 32644 -42466 T -0.2425 1.0240 7.8N 137.5W 76 16 84 02m26s 31 -15 -1416 Aug 13 13:44:07 32283 -42243 T -0.1945 1.0243 8.3N 105.2E 79 20 84 02m23s 32 -14 -1398 Aug 24 21:37:16 31924 -42020 T -0.1528 1.0243 7.7N 14.1W 81 23 83 02m18s 33 -13 -1380 Sep 04 05:41:07 31567 -41797 T -0.1195 1.0242 6.0N 136.3W 83 26 83 02m14s 34 -12 -1362 Sep 15 13:53:07 31212 -41574 T -0.0924 1.0240 3.4N 99.3E 85 28 82 02m10s 35 -11 -1344 Sep 25 22:15:23 30859 -41351 T -0.0731 1.0240 0.1N 28.0W 86 29 82 02m08s 36 -10 -1326 Oct 07 06:45:01 30508 -41128 T -0.0592 1.0241 3.7S 157.1W 87 29 82 02m07s 37 -09 -1308 Oct 17 15:21:35 30159 -40905 T -0.0506 1.0246 7.8S 71.9E 87 29 84 02m09s 38 -08 -1290 Oct 29 00:03:50 29811 -40682 T -0.0460 1.0254 11.9S 60.4W 87 27 86 02m14s 39 -07 -1272 Nov 08 08:50:37 29466 -40459 T -0.0451 1.0267 16.0S 166.4E 87 25 91 02m21s 40 -06 -1254 Nov 19 17:39:29 29123 -40236 T -0.0450 1.0285 19.6S 33.1E 87 22 97 02m32s
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 -1236 Nov 30 02:28:34 28782 -40013 T -0.0448 1.0308 22.6S 99.9W 87 18 104 02m46s 42 -04 -1218 Dec 11 11:17:09 28443 -39790 T -0.0436 1.0336 24.7S 127.7E 87 14 114 03m03s 43 -03 -1200 Dec 21 20:03:15 28106 -39567 Tm -0.0403 1.0370 25.9S 3.7W 88 10 124 03m22s 44 -02 -1181 Jan 02 04:44:26 27771 -39344 T -0.0323 1.0408 25.8S 133.8W 88 5 137 03m45s 45 -01 -1163 Jan 12 13:20:23 27438 -39121 T -0.0199 1.0449 24.5S 97.2E 89 0 150 04m08s 46 00 -1145 Jan 23 21:49:22 27107 -38898 T -0.0012 1.0493 21.9S 30.4W 90 359 164 04m33s 47 01 -1127 Feb 03 06:11:50 26778 -38675 T 0.0231 1.0538 18.3S 157.0W 89 171 178 04m59s 48 02 -1109 Feb 14 14:25:24 26451 -38452 T 0.0548 1.0583 13.5S 78.0E 87 168 192 05m23s 49 03 -1091 Feb 24 22:32:15 26126 -38229 T 0.0926 1.0627 7.9S 46.0W 85 166 206 05m45s 50 04 -1073 Mar 08 06:30:33 25803 -38006 T 0.1377 1.0668 1.5S 168.4W 82 164 220 06m03s 51 05 -1055 Mar 18 14:21:47 25483 -37783 T 0.1890 1.0706 5.5N 70.5E 79 162 234 06m17s 52 06 -1037 Mar 29 22:05:45 25164 -37560 T 0.2467 1.0737 12.9N 49.1W 76 161 246 06m25s 53 07 -1019 Apr 09 05:44:22 24847 -37337 T 0.3091 1.0763 20.8N 167.5W 72 161 259 06m26s 54 08 -1001 Apr 20 13:18:07 24532 -37114 T 0.3758 1.0780 28.9N 75.3E 68 161 272 06m20s 55 09 -0983 Apr 30 20:47:10 24219 -36891 T 0.4466 1.0790 37.2N 40.6W 63 161 285 06m08s 56 10 -0965 May 12 04:14:07 23908 -36668 T 0.5194 1.0789 45.6N 155.4W 58 162 298 05m49s 57 11 -0947 May 22 11:39:03 23599 -36445 T 0.5940 1.0780 54.0N 91.2E 53 164 314 05m25s 58 12 -0929 Jun 02 19:04:07 23292 -36222 T 0.6682 1.0760 62.4N 20.6W 48 167 332 04m58s 59 13 -0911 Jun 13 02:28:32 22987 -35999 T 0.7427 1.0730 70.7N 128.7W 42 173 356 04m29s 60 14 -0893 Jun 24 09:56:27 22684 -35776 T 0.8142 1.0689 78.3N 132.1E 35 189 391 03m59s 61 15 -0875 Jul 04 17:26:33 22383 -35553 T 0.8836 1.0638 83.0N 67.1E 28 239 452 03m28s 62 16 -0857 Jul 16 01:01:26 22084 -35330 T 0.9487 1.0572 78.3N 11.1E 18 299 615 02m55s 63 17 -0839 Jul 26 08:40:54 21788 -35107 T+ 1.0095 1.0002 63.5N 76.1W 0 326 - - 64 18 -0821 Aug 06 16:27:42 21493 -34884 P 1.0639 0.8944 62.7N 156.6E 0 317 65 19 -0803 Aug 17 00:20:48 21200 -34661 P 1.1127 0.7997 62.0N 27.9E 0 308 66 20 -0785 Aug 28 08:20:47 20909 -34438 P 1.1557 0.7171 61.5N 102.2W 0 298 67 21 -0767 Sep 07 16:28:36 20620 -34215 P 1.1919 0.6479 61.0N 125.8E 0 289 68 22 -0749 Sep 19 00:44:21 20333 -33992 P 1.2213 0.5921 60.8N 8.1W 0 280 69 23 -0731 Sep 29 09:07:08 20049 -33769 P 1.2448 0.5479 60.7N 143.7W 0 271 70 24 -0713 Oct 10 17:36:39 19766 -33546 P 1.2624 0.5150 60.7N 79.1E 0 262 71 25 -0695 Oct 21 02:12:00 19476 -33323 P 1.2752 0.4913 61.0N 59.6W 0 253 72 26 -0677 Nov 01 10:52:30 19171 -33100 P 1.2834 0.4762 61.4N 160.2E 0 244 73 27 -0659 Nov 11 19:34:53 18871 -32877 P 1.2898 0.4646 61.9N 19.5E 0 234 74 28 -0641 Nov 23 04:20:11 18576 -32654 P 1.2934 0.4580 62.6N 122.1W 0 225 75 29 -0623 Dec 03 13:04:26 18285 -32431 P 1.2971 0.4513 63.5N 96.3E 0 215 76 30 -0605 Dec 14 21:47:46 17999 -32208 P 1.3013 0.4437 64.4N 45.3W 0 205 77 31 -0587 Dec 25 06:25:44 17718 -31985 P 1.3093 0.4291 65.4N 174.1E 0 194 78 32 -0568 Jan 05 15:00:23 17440 -31762 P 1.3194 0.4109 66.5N 33.8E 0 184 79 33 -0550 Jan 15 23:27:20 17168 -31539 P 1.3348 0.3829 67.6N 105.0W 0 173 80 34 -0532 Jan 27 07:46:52 16899 -31316 P 1.3558 0.3448 68.6N 117.6E 0 161
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 81 35 -0514 Feb 06 15:56:48 16634 -31093 P 1.3837 0.2942 69.6N 18.1W 0 149 82 36 -0496 Feb 17 23:58:10 16374 -30870 P 1.4180 0.2319 70.4N 152.2W 0 136 83 37 -0478 Feb 28 07:49:20 16117 -30647 P 1.4597 0.1563 71.1N 75.6E 0 123 84 38 -0460 Mar 10 15:30:30 15864 -30424 Pe 1.5085 0.0679 71.5N 54.4W 0 110
[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)"