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 15 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 -2557 Jul 01. The series ended with a partial eclipse in the southern hemisphere on -1223 Sep 08. The total duration of Saros series 15 is 1334.23 years. In summary:
First Eclipse = -2557 Jul 01 06:54:37 TD Last Eclipse = -1223 Sep 08 19:14:20 TD Duration of Saros 15 = 1334.23 Years
Saros 15 is composed of 75 solar eclipses as follows:
| Solar Eclipses of Saros 15 | |||
| Eclipse Type | Symbol | Number | Percent |
| All Eclipses | - | 75 | 100.0% |
| Partial | P | 33 | 44.0% |
| Annular | A | 29 | 38.7% |
| Total | T | 10 | 13.3% |
| Hybrid[3] | H | 3 | 4.0% |
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 15 appears in the following table.
| Umbral Eclipses of Saros 15 | ||
| Classification | Number | Percent |
| All Umbral Eclipses | 42 | 100.0% |
| Central (two limits) | 40 | 95.2% |
| Central (one limit) | 2 | 4.8% |
| Non-Central (one limit) | 0 | 0.0% |
The following string illustrates the sequence of the 75 eclipses in Saros 15: 24P 10T 3H 29A 9P
The longest and shortest eclipses of Saros 15 as well as other eclipse extrema are listed below.
Longest Total Solar Eclipse: -2070 Apr 19 Duration = 02m37s Shortest Total Solar Eclipse: -1962 Jun 23 Duration = 01m41s Longest Annular Solar Eclipse: -1656 Dec 23 Duration = 07m06s Shortest Annular Solar Eclipse: -1890 Aug 05 Duration = 00m30s Longest Hybrid Solar Eclipse: -1944 Jul 03 Duration = 01m16s Shortest Hybrid Solar Eclipse: -1908 Jul 25 Duration = 00m10s Largest Partial Solar Eclipse: -2142 Mar 07 Magnitude = 0.9183 Smallest Partial Solar Eclipse: -2557 Jul 01 Magnitude = 0.0095
Local circumstances at greatest eclipse[4] for every eclipse of Saros 15 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 015 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 -40 -2557 Jul 01 06:54:37 59093 -56357 Pb 1.5243 0.0095 64.2N 167.9E 0 25 02 -39 -2539 Jul 11 14:36:14 58607 -56134 P 1.4660 0.1226 65.1N 40.5E 0 16 03 -38 -2521 Jul 22 22:24:28 58123 -55911 P 1.4132 0.2250 66.1N 88.9W 0 5 04 -37 -2503 Aug 02 06:21:18 57641 -55688 P 1.3675 0.3132 67.1N 139.1E 0 355 05 -36 -2485 Aug 13 14:26:08 57161 -55465 P 1.3287 0.3880 68.1N 4.6E 0 344 06 -35 -2467 Aug 23 22:39:22 56683 -55242 P 1.2968 0.4491 69.1N 132.6W 0 332 07 -34 -2449 Sep 04 07:00:41 56207 -55019 P 1.2718 0.4968 69.9N 87.6E 0 319 08 -33 -2431 Sep 14 15:30:38 55733 -54796 P 1.2539 0.5305 70.7N 55.0W 0 306 09 -32 -2413 Sep 26 00:07:26 55261 -54573 P 1.2422 0.5526 71.2N 160.2E 0 293 10 -31 -2395 Oct 06 08:49:53 54791 -54350 P 1.2354 0.5652 71.5N 13.6E 0 278 11 -30 -2377 Oct 17 17:37:37 54323 -54127 P 1.2332 0.5693 71.5N 134.5W 0 264 12 -29 -2359 Oct 28 02:29:23 53857 -53904 P 1.2344 0.5670 71.3N 76.5E 0 250 13 -28 -2341 Nov 08 11:22:30 53393 -53681 P 1.2371 0.5619 70.8N 72.5W 0 236 14 -27 -2323 Nov 18 20:15:49 52931 -53458 P 1.2402 0.5559 70.1N 139.0E 0 222 15 -26 -2305 Nov 30 05:07:25 52470 -53235 P 1.2424 0.5519 69.2N 8.5W 0 210 16 -25 -2287 Dec 10 13:56:40 52013 -53012 P 1.2431 0.5507 68.2N 154.7W 0 197 17 -24 -2269 Dec 21 22:39:31 51556 -52789 P 1.2390 0.5585 67.2N 61.3E 0 186 18 -23 -2250 Jan 01 07:17:30 51102 -52566 P 1.2315 0.5727 66.1N 80.9W 0 175 19 -22 -2232 Jan 12 15:46:39 50650 -52343 P 1.2172 0.5997 65.1N 139.6E 0 164 20 -21 -2214 Jan 23 00:08:45 50200 -52120 P 1.1980 0.6361 64.1N 2.2E 0 154 21 -20 -2196 Feb 03 08:20:12 49752 -51897 P 1.1705 0.6879 63.2N 132.1W 0 144 22 -19 -2178 Feb 13 16:24:04 49307 -51674 P 1.1375 0.7504 62.4N 95.7E 0 135 23 -18 -2160 Feb 25 00:17:22 48862 -51451 P 1.0963 0.8282 61.8N 33.6W 0 125 24 -17 -2142 Mar 07 08:02:04 48421 -51228 P 1.0486 0.9183 61.2N 160.6W 0 116 25 -16 -2124 Mar 17 15:37:30 47981 -51005 Tn 0.9940 1.0313 59.3N 83.7E 5 115 - 01m57s 26 -15 -2106 Mar 28 23:06:05 47543 -50782 T 0.9343 1.0356 52.3N 13.5W 20 128 331 02m24s 27 -14 -2088 Apr 08 06:27:24 47107 -50559 T 0.8690 1.0370 49.4N 120.0W 29 131 246 02m33s 28 -13 -2070 Apr 19 13:42:36 46673 -50336 T 0.7993 1.0372 48.0N 133.7E 37 134 204 02m37s 29 -12 -2052 Apr 29 20:53:19 46241 -50113 T 0.7265 1.0364 47.4N 28.2E 43 137 175 02m37s 30 -11 -2034 May 11 04:00:32 45811 -49890 T 0.6517 1.0346 47.1N 76.1W 49 141 152 02m33s 31 -10 -2016 May 21 11:05:23 45383 -49667 T 0.5755 1.0319 46.8N 179.6W 55 145 131 02m26s 32 -09 -1998 Jun 01 18:09:16 44957 -49444 T 0.4994 1.0284 46.2N 77.3E 60 151 111 02m15s 33 -08 -1980 Jun 12 01:14:01 44533 -49221 T 0.4248 1.0242 45.0N 26.0W 65 157 91 02m00s 34 -07 -1962 Jun 23 08:20:59 44111 -48998 T 0.3533 1.0193 43.0N 130.2W 69 164 71 01m41s 35 -06 -1944 Jul 03 15:30:05 43691 -48775 H 0.2846 1.0139 40.3N 124.5E 73 170 50 01m16s 36 -05 -1926 Jul 14 22:44:43 43274 -48552 H 0.2216 1.0079 36.8N 17.0E 77 176 28 00m46s 37 -04 -1908 Jul 25 06:03:48 42858 -48329 H 0.1634 1.0017 32.7N 92.5W 80 181 6 00m10s 38 -03 -1890 Aug 05 13:30:29 42444 -48106 Am 0.1125 0.9952 28.1N 155.2E 83 185 17 00m30s 39 -02 -1872 Aug 15 21:02:20 42032 -47883 A 0.0669 0.9887 23.1N 40.9E 86 189 40 01m14s 40 -01 -1854 Aug 27 04:43:27 41622 -47660 A 0.0302 0.9822 17.9N 76.2W 88 192 63 01m59s
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 00 -1836 Sep 06 12:30:48 41214 -47437 A -0.0004 0.9759 12.6N 164.7E 90 174 86 02m45s 42 01 -1818 Sep 17 20:26:38 40809 -47214 A -0.0232 0.9700 7.3N 43.2E 89 17 108 03m28s 43 02 -1800 Sep 28 04:28:25 40405 -46991 A -0.0402 0.9644 2.0N 79.8W 88 18 129 04m09s 44 03 -1782 Oct 09 12:37:27 40003 -46768 A -0.0506 0.9593 3.1S 155.4E 87 18 148 04m46s 45 04 -1764 Oct 19 20:50:22 39603 -46545 A -0.0567 0.9548 8.0S 29.8E 87 18 165 05m20s 46 05 -1746 Oct 31 05:06:38 39205 -46322 A -0.0594 0.9510 12.5S 96.3W 87 16 180 05m50s 47 06 -1728 Nov 10 13:24:24 38809 -46099 A -0.0600 0.9478 16.6S 137.5E 86 14 192 06m17s 48 07 -1710 Nov 21 21:42:44 38416 -45876 A -0.0598 0.9453 20.3S 11.6E 86 11 202 06m38s 49 08 -1692 Dec 02 05:58:03 38024 -45653 A -0.0611 0.9435 23.4S 113.1W 86 8 209 06m54s 50 09 -1674 Dec 13 14:09:35 37634 -45430 A -0.0650 0.9423 25.9S 123.6E 86 4 214 07m04s 51 10 -1656 Dec 23 22:15:04 37246 -45207 A -0.0731 0.9417 27.8S 2.1E 86 359 216 07m06s 52 11 -1637 Jan 04 06:14:24 36861 -44984 A -0.0858 0.9417 28.9S 117.6W 85 354 217 07m01s 53 12 -1619 Jan 14 14:03:27 36477 -44761 A -0.1063 0.9420 29.6S 125.5E 84 349 216 06m51s 54 13 -1601 Jan 25 21:44:24 36095 -44538 A -0.1330 0.9427 29.6S 10.7E 82 344 214 06m36s 55 14 -1583 Feb 05 05:13:52 35715 -44315 A -0.1687 0.9436 29.1S 101.3W 80 339 211 06m20s 56 15 -1565 Feb 16 12:34:13 35338 -44092 A -0.2112 0.9446 28.3S 148.9E 78 335 209 06m04s 57 16 -1547 Feb 26 19:42:22 34962 -43869 A -0.2636 0.9456 27.4S 42.1E 75 332 207 05m49s 58 17 -1529 Mar 10 02:41:53 34588 -43646 A -0.3224 0.9466 26.4S 62.7W 71 330 206 05m38s 59 18 -1511 Mar 20 09:30:47 34216 -43423 A -0.3896 0.9473 25.6S 164.9W 67 328 208 05m31s 60 19 -1493 Mar 31 16:11:09 33847 -43200 A -0.4632 0.9478 25.3S 95.0E 62 327 213 05m27s 61 20 -1475 Apr 10 22:43:34 33479 -42977 A -0.5427 0.9478 25.7S 3.2W 57 327 223 05m30s 62 21 -1457 Apr 22 05:10:13 33113 -42754 A -0.6262 0.9475 27.0S 100.1W 51 328 241 05m36s 63 22 -1439 May 02 11:32:15 32750 -42531 A -0.7131 0.9465 29.6S 164.1E 44 329 273 05m46s 64 23 -1421 May 13 17:50:05 32388 -42308 A -0.8027 0.9448 34.0S 69.5E 36 331 331 05m56s 65 24 -1403 May 24 00:07:06 32028 -42085 A -0.8922 0.9421 41.0S 24.5W 27 332 463 06m02s 66 25 -1385 Jun 04 06:23:36 31671 -41862 As -0.9813 0.9373 54.5S 114.1W 10 329 - 05m51s 67 26 -1367 Jun 14 12:42:35 31315 -41639 P -1.0678 0.8463 63.6S 151.9E 0 328 68 27 -1349 Jun 25 19:04:07 30961 -41416 P -1.1519 0.7023 64.6S 45.4E 0 338 69 28 -1331 Jul 06 01:32:17 30610 -41193 P -1.2301 0.5686 65.5S 63.2W 0 348 70 29 -1313 Jul 17 08:06:34 30260 -40970 P -1.3027 0.4449 66.6S 173.7W 0 358 71 30 -1295 Jul 27 14:48:52 29912 -40747 P -1.3687 0.3330 67.6S 73.3E 0 9 72 31 -1277 Aug 07 21:40:06 29567 -40524 P -1.4274 0.2340 68.6S 42.4W 0 20 73 32 -1259 Aug 18 04:41:25 29223 -40301 P -1.4779 0.1492 69.5S 161.2W 0 32 74 33 -1241 Aug 29 11:53:01 28882 -40078 P -1.5203 0.0785 70.3S 76.8E 0 44 75 34 -1223 Sep 08 19:14:20 28542 -39855 Pe -1.5551 0.0209 71.0S 48.2W 0 57
[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)"