Saros 133

Catalog of Solar Eclipses of Saros 133

Fred Espenak

Introduction

The periodicity and recurrence of solar 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 with the Moon at nearly the same distance from Earth and the same time of year due to a harmonic in three cycles of the Moon's orbit. 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 eclipses before ending with a group of partial eclipses near the opposite pole. For more information, see Periodicity of Solar Eclipses.

Catalog of Solar Eclipses of Saros 133

The table below lists the concise characteristics of every solar eclipse belonging to Saros 133 . The date and time of each eclipse is given for the instant of Greatest Eclipse. For eclipses between the years -1999 to 3000, the calendar date links to a web page containing additional details and a map showing the geographic region of eclipse visibility for that eclipse. A description of each parameter in the catalog table can be found in Key to Saros Catalog of Solar Eclipses.

Catalog of Solar Eclipses of Saros 133
Seq Num Rel Num Calendar Date TD of Greatest Eclipse ΔT

s
ΔT Sigma
s
Luna Num Ecl Type QLE Gamma Ecl Mag Lat

°
Long

°
Sun Alt
°
Path Width km Central Dur
1-35 1219-Jul-1308:23:37 673 29 -9653 Pb t- 1.5337 0.0308 68N 137W 0 - -
2-34 1237-Jul-2315:20:40 626 27 -9430 P t- 1.4563 0.1681 69N 107E 0 - -
3-33 1255-Aug-0322:23:36 582 25 -9207 P t- 1.3824 0.2996 70N 12W 0 - -
4-32 1273-Aug-1405:35:22 540 24 -8984 P t- 1.3146 0.4205 71N 133W 0 - -
5-31 1291-Aug-2512:55:28 502 22 -8761 P t- 1.2526 0.5313 72N 104E 0 - -
6-30 1309-Sep-0420:25:23 466 21 -8538 P t- 1.1974 0.6299 72N 23W 0 - -
7-29 1327-Sep-1604:04:26 433 20 -8315 P t- 1.1489 0.7168 72N 152W 0 - -
8-28 1345-Sep-2611:53:50 401 20 -8092 P t- 1.1079 0.7901 72N 76E 0 - -
9-27 1363-Oct-0719:52:53 371 20 -7869 P t- 1.0741 0.8507 72N 57W 0 - -
10-26 1381-Oct-1804:00:18 343 20 -7646 P t- 1.0465 0.9004 71N 167E 0 - -
11-25 1399-Oct-2912:17:06 317 20 -7423 P t- 1.0257 0.9379 70N 30E 0 - -
12-24 1417-Nov-0820:41:00 292 20 -7200 P t- 1.0097 0.9670 69N 109W 0 - -
13-23 1435-Nov-2005:12:00 269 20 -6977 A+ t- 0.9991 0.9867 68N 112E 0 - -
14-22 1453-Nov-3013:46:15 246 20 -6754 A t- 0.9904 0.9842 60N 28W 7 47001m14s
15-21 1471-Dec-1122:25:19 225 20 -6531 A t- 0.9850 0.9871 57N 165W 9 28801m02s
16-20 1489-Dec-2207:04:55 206 20 -6308 A t- 0.9791 0.9904 55N 59E 11 17500m47s
17-19 1508-Jan-0215:45:07 187 20 -6085 A t- 0.9732 0.9941 53N 77W 13 9200m28s
18-18 1526-Jan-1300:22:29 170 20 -5862 A t- 0.9644 0.9985 51N 149E 15 1900m07s
19-17 1544-Jan-2408:57:44 154 20 -5639 H t- 0.9533 1.0035 50N 16E 17 4000m16s
20-16 1562-Feb-0317:27:32 140 20 -5416 T t- 0.9373 1.0091 49N 114W 20 8900m41s
21-15 1580-Feb-1501:52:11 128 20 -5193 T t- 0.9164 1.0151 48N 117E 23 12701m07s
22-14 1598-Mar-0710:10:00 119 20 -4970 T p- 0.8894 1.0214 48N 8W 27 15601m33s
23-13 1616-Mar-1718:21:44 99 18 -4747 T p- 0.8568 1.0280 48N 131W 31 18001m58s
24-12 1634-Mar-2902:25:10 72 15 -4524 T p- 0.8169 1.0346 49N 109E 35 19802m24s
25-11 1652-Apr-0810:22:27 45 12 -4301 T p- 0.7713 1.0412 50N 9W 39 21302m49s
26-10 1670-Apr-1918:12:20 23 9 -4078 T p- 0.7191 1.0476 51N 123W 44 22503m15s
27 -9 1688-Apr-3001:57:33 9 7 -3855 T p- 0.6621 1.0535 51N 124E 48 23403m40s
28 -8 1706-May-1209:35:08 9 5 -3632 T p- 0.5984 1.0591 52N 15E 53 24204m06s
29 -7 1724-May-2217:10:08 10 4 -3409 T p- 0.5319 1.0640 51N 93W 58 24704m33s
30 -6 1742-Jun-0300:39:56 12 3 -3186 T p- 0.4607 1.0683 49N 160E 62 25105m00s
31 -5 1760-Jun-1308:09:15 14 3 -2963 T p- 0.3883 1.0719 46N 53E 67 25405m27s
32 -4 1778-Jun-2415:34:55 17 2 -2740 T n- 0.3127 1.0746 42N 55W 72 25505m52s
33 -3 1796-Jul-0423:02:54 15 1 -2517 T n- 0.2385 1.0764 37N 165W 76 25506m15s
34 -2 1814-Jul-1706:30:29 12 1 -2294 T n- 0.1641 1.0774 31N 85E 80 25406m33s
35 -1 1832-Jul-2714:01:06 6 1 -2071 T nn 0.0919 1.0776 25N 28W 85 25206m46s
36 0 1850-Aug-0721:33:54 7 1 -1848 T nn 0.0215 1.0769 18N 142W 89 24906m50s
37 1 1868-Aug-1805:12:10 2 0 -1625 Tm nn -0.0443 1.0756 11N 102E 88 24506m47s
38 2 1886-Aug-2912:55:23 -6 0 -1402 T nn -0.1059 1.0735 3N 15W 84 24006m36s
39 3 1904-Sep-0920:44:21 3 0 -1179 T -n -0.1625 1.0709 4S 135W 81 23406m20s
40 4 1922-Sep-2104:40:31 23 0 -956 T -n -0.2130 1.0678 11S 105E 78 22605m59s
Catalog of Solar Eclipses of Saros 133
Seq Num Rel Num Calendar Date TD of Greatest Eclipse ΔT

s
ΔT Sigma
s
Luna Num Ecl Type QLE Gamma Ecl Mag Lat

°
Long

°
Sun Alt
°
Path Width km Central Dur
41 5 1940-Oct-0112:44:06 25 0 -733 T -n -0.2573 1.0645 18S 18W 75 21805m35s
42 6 1958-Oct-1220:55:28 33 0 -510 T -n -0.2951 1.0608 24S 142W 73 20905m11s
43 7 1976-Oct-2305:13:45 47 0 -287 T -n -0.3270 1.0572 30S 92E 71 19904m46s
44 8 1994-Nov-0313:40:06 61 0 -64 T -n -0.3522 1.0535 35S 34W 69 18904m23s
45 9 2012-Nov-1322:12:55 67 0 159 T -n -0.3719 1.0500 40S 161W 68 17904m02s
46 10 2030-Nov-2506:51:37 74 2 382 T -n -0.3867 1.0468 44S 71E 67 16903m44s
47 11 2048-Dec-0515:35:27 84 5 605 T -n -0.3973 1.0440 46S 56W 66 16003m28s
48 12 2066-Dec-1700:23:40 97 10 828 T -n -0.4043 1.0416 47S 176E 66 15203m14s
49 13 2084-Dec-2709:13:48 112 15 1051 T -n -0.4094 1.0396 47S 47E 66 14603m04s
50 14 2103-Jan-0818:04:21 130 21 1274 T -n -0.4140 1.0381 46S 81W 65 14002m57s
51 15 2121-Jan-1902:54:15 151 28 1497 T -n -0.4190 1.0371 44S 150E 65 13702m52s
52 16 2139-Jan-3011:42:25 174 36 1720 T -n -0.4255 1.0364 41S 20E 65 13502m49s
53 17 2157-Feb-0920:25:36 199 44 1943 T -p -0.4358 1.0362 38S 109W 64 13502m49s
54 18 2175-Feb-2105:04:24 227 53 2166 T -p -0.4495 1.0362 34S 122E 63 13502m50s
55 19 2193-Mar-0313:36:08 258 63 2389 T -p -0.4689 1.0365 31S 5W 62 13702m53s
56 20 2211-Mar-1522:01:40 291 72 2612 T -p -0.4931 1.0368 28S 131W 60 14002m57s
57 21 2229-Mar-2606:17:34 327 83 2835 T -p -0.5251 1.0371 25S 105E 58 14403m02s
58 22 2247-Apr-0614:26:51 365 94 3058 T -p -0.5624 1.0372 24S 18W 56 14903m07s
59 23 2265-Apr-1622:26:19 406 105 3281 T -p -0.6073 1.0371 23S 138W 52 15403m11s
60 24 2283-Apr-2806:18:21 450 117 3504 T -p -0.6581 1.0366 24S 104E 49 16003m13s
61 25 2301-May-0914:00:58 496 130 3727 T -p -0.7161 1.0354 26S 12W 44 16803m10s
62 26 2319-May-2021:37:22 545 143 3950 T -p -0.7786 1.0336 29S 127W 39 17803m02s
63 27 2337-May-3105:05:56 596 156 4173 T -t -0.8470 1.0309 35S 120E 32 19502m46s
64 28 2355-Jun-1112:28:17 650 170 4396 T -t -0.9196 1.0269 43S 8E 23 23302m18s
65 29 2373-Jun-2119:45:28 706 184 4619 Ts -t -0.9954 1.0191 63S 101W 3 - 01m24s
66 30 2391-Jul-0302:58:52 765 199 4842 P -t -1.0732 0.8664 67S 142E 0 - -
67 31 2409-Jul-1310:09:33 827 214 5065 P -t -1.1523 0.7186 68S 24E 0 - -
68 32 2427-Jul-2417:18:10 891 230 5288 P -t -1.2318 0.5708 69S 95W 0 - -
69 33 2445-Aug-0400:27:21 958 246 5511 P -t -1.3097 0.4272 70S 146E 0 - -
70 34 2463-Aug-1507:37:34 1027 262 5734 P -t -1.3853 0.2891 71S 26E 0 - -
71 35 2481-Aug-2514:49:24 1099 279 5957 P -t -1.4585 0.1568 71S 95W 0 - -
72 36 2499-Sep-0522:05:17 1173 296 6180 Pe -t -1.5274 0.0340 72S 143E 0 - -

Statistics for Solar Eclipses of Saros 133

Solar eclipses of Saros 133 all occur at the Moon’s ascending node and the Moon moves southward with each eclipse. The series began with a partial eclipse in the northern hemisphere on 1219 Jul 13. The series will end with a partial eclipse in the southern hemisphere on 2499 Sep 05. The total duration of Saros series 133 is 1280.14 years.

Summary of Saros 133
First Eclipse 1219 Jul 13
Last Eclipse 2499 Sep 05
Series Duration 1280.14 Years
No. of Eclipses 72
Sequence 12P 6A 1H 46T 7P

Saros 133 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 133
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 19 26.4%
AnnularA 6 8.3%
TotalT 46 63.9%
HybridH 1 1.4%

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 133 appears in the following table.

Umbral Eclipses of Saros 133
Classification Number Percent
All Umbral Eclipses 53100.0%
Central (two limits) 51 96.2%
Central (one limit) 1 1.9%
Non-Central (one limit) 1 1.9%

The 72 eclipses in Saros 133 occur in the following order : 12P 6A 1H 46T 7P

The longest and shortest central eclipses of Saros 133 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 133
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 1453 Nov 3001m14s -
Shortest Annular Solar Eclipse 1526 Jan 1300m07s -
Longest Total Solar Eclipse 1850 Aug 0706m50s -
Shortest Total Solar Eclipse 1562 Feb 0300m41s -
Longest Hybrid Solar Eclipse 1544 Jan 2400m16s -
Shortest Hybrid Solar Eclipse 1544 Jan 2400m16s -
Largest Partial Solar Eclipse 1417 Nov 08 - 0.96700
Smallest Partial Solar Eclipse 1219 Jul 13 - 0.03078

Links to Additional Solar Eclipse Predictions

Calendar

The Gregorian calendar (also called the Western calendar) is internationally the most widely used civil calendar. It is named for Pope Gregory XIII, who introduced it in 1582. On this website, the Gregorian calendar is used for all calendar 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..

Eclipse Predictions

The eclipse predictions presented here were generated using the JPL DE406 solar and lunar ephemerides. The lunar coordinates have been calculated with respect to the Moon's Center of Mass.

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 -2999 to +3000. The uncertainty in ΔT over this period can be estimated from scatter in the measurements.

Acknowledgments

Some of the content on this web site is based on the books Five Millennium Canon of Solar Eclipses: -1999 to +3000 and Thousand Year Canon of Solar Eclipses 1501 to 2500. All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.

Permission is granted to reproduce data from this page when accompanied by an acknowledgment:

"Eclipse Predictions by Fred Espenak, www.EclipseWise.com"

The use of diagrams and maps is permitted provided that they are NOT altered (except for re-sizing) and the embedded credit line is NOT removed or covered.