Saros 33

Catalog of Solar Eclipses of Saros 33

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 33

The table below lists the concise characteristics of every solar eclipse belonging to Saros 33 . 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 33
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
1-49 -1982-Aug-0201:39:47 45977 3654 -49244 Pb t- 1.4998 0.0675 67N 157E 0 - -
2-48 -1964-Aug-1209:35:07 45541 3580 -49021 P t- 1.4541 0.1537 68N 25E 0 - -
3-47 -1946-Aug-2317:40:01 45108 3506 -48798 P t- 1.4159 0.2259 69N 110W 0 - -
4-46 -1928-Sep-0301:53:05 44677 3432 -48575 P t- 1.3840 0.2861 70N 112E 0 - -
5-45 -1910-Sep-1410:16:08 44248 3360 -48352 P t- 1.3601 0.3310 71N 28W 0 - -
6-44 -1892-Sep-2418:46:36 43821 3288 -48129 P t- 1.3421 0.3649 71N 172W 0 - -
7-43 -1874-Oct-0603:24:39 43396 3217 -47906 P t- 1.3301 0.3875 72N 43E 0 - -
8-42 -1856-Oct-1612:08:09 42973 3146 -47683 P t- 1.3224 0.4019 72N 104W 0 - -
9-41 -1838-Oct-2720:57:15 42552 3076 -47460 P t- 1.3191 0.4082 71N 108E 0 - -
10-40 -1820-Nov-0705:48:49 42133 3007 -47237 P t- 1.3178 0.4106 71N 40W 0 - -
11-39 -1802-Nov-1814:41:54 41716 2939 -47014 P t- 1.3177 0.4108 70N 172E 0 - -
12-38 -1784-Nov-2823:34:52 41302 2871 -46791 P t- 1.3173 0.4114 69N 24E 0 - -
13-37 -1766-Dec-1008:26:37 40889 2804 -46568 P t- 1.3157 0.4143 68N 122W 0 - -
14-36 -1748-Dec-2017:13:37 40479 2738 -46345 P t- 1.3105 0.4240 67N 93E 0 - -
15-35 -1729-Jan-0101:56:15 40070 2672 -46122 P t- 1.3018 0.4403 66N 50W 0 - -
16-34 -1711-Jan-1110:31:57 39664 2607 -45899 P t- 1.2876 0.4672 65N 169E 0 - -
17-33 -1693-Jan-2219:01:57 39260 2543 -45676 P t- 1.2686 0.5033 64N 30E 0 - -
18-32 -1675-Feb-0203:21:56 38857 2480 -45453 P t- 1.2418 0.5546 63N 106W 0 - -
19-31 -1657-Feb-1311:35:34 38457 2417 -45230 P t- 1.2098 0.6160 62N 120E 0 - -
20-30 -1639-Feb-2319:38:50 38059 2355 -45007 P t- 1.1697 0.6934 62N 12W 0 - -
21-29 -1621-Mar-0703:35:53 37663 2293 -44784 P t- 1.1245 0.7809 61N 142W 0 - -
22-28 -1603-Mar-1711:22:57 37269 2233 -44561 P t- 1.0713 0.8842 61N 91E 0 - -
23-27 -1585-Mar-2819:05:09 36877 2173 -44338 P t- 1.0139 0.9956 61N 35W 0 - -
24-26 -1567-Apr-0802:39:27 36487 2113 -44115 T t- 0.9505 1.0617 57N 125W 18 65003m39s
25-25 -1549-Apr-1910:09:39 36100 2055 -43892 T p- 0.8836 1.0653 55N 130E 28 45004m00s
26-24 -1531-Apr-2917:34:30 35714 1997 -43669 T p- 0.8125 1.0672 54N 24E 35 37104m13s
27-23 -1513-May-1100:57:28 35330 1940 -43446 T p- 0.7402 1.0679 54N 82W 42 32604m23s
28-22 -1495-May-2108:17:58 34949 1883 -43223 T p- 0.6659 1.0676 54N 173E 48 29404m29s
29-21 -1477-Jun-0115:37:56 34569 1828 -43000 T p- 0.5916 1.0662 53N 68E 53 26704m33s
30-20 -1459-Jun-1122:58:39 34192 1773 -42777 T p- 0.5186 1.0638 52N 38W 59 24404m34s
31-19 -1441-Jun-2306:21:37 33817 1718 -42554 T p- 0.4480 1.0606 49N 144W 63 22304m32s
32-18 -1423-Jul-0313:47:36 33443 1665 -42331 T n- 0.3806 1.0566 46N 107E 67 20204m27s
33-17 -1405-Jul-1421:17:42 33072 1612 -42108 T n- 0.3173 1.0519 42N 3W 71 18204m17s
34-16 -1387-Jul-2504:53:19 32703 1560 -41885 T n- 0.2594 1.0467 38N 116W 75 16104m02s
35-15 -1369-Aug-0512:35:11 32336 1508 -41662 T n- 0.2077 1.0410 33N 128E 78 14003m41s
36-14 -1351-Aug-1520:22:55 31971 1458 -41439 T nn 0.1618 1.0350 27N 10E 81 11903m16s
37-13 -1333-Aug-2704:18:43 31608 1408 -41216 T nn 0.1233 1.0289 22N 111W 83 9902m46s
38-12 -1315-Sep-0612:21:40 31247 1359 -40993 T nn 0.0915 1.0228 16N 127E 85 7802m14s
39-11 -1297-Sep-1720:32:55 30888 1310 -40770 H3 nn 0.0675 1.0168 11N 1E 86 5801m40s
40-10 -1279-Sep-2804:49:56 30532 1263 -40547 H nn 0.0490 1.0110 5N 125W 87 3801m07s
Catalog of Solar Eclipses of Saros 33
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 -9 -1261-Oct-0913:14:20 30177 1216 -40324 H nn 0.0374 1.0056 0N 106E 88 1900m35s
42 -8 -1243-Oct-1921:43:29 29825 1169 -40101 H nn 0.0304 1.0006 5S 23W 88 200m04s
43 -7 -1225-Oct-3106:16:54 29474 1124 -39878 Am nn 0.0275 0.9963 9S 153W 88 1300m24s
44 -6 -1207-Nov-1014:52:24 29126 1079 -39655 A nn 0.0271 0.9924 13S 76E 89 2700m49s
45 -5 -1189-Nov-2123:29:04 28779 1035 -39432 A nn 0.0281 0.9891 16S 54W 88 3801m11s
46 -4 -1171-Dec-0208:04:41 28435 992 -39209 A nn 0.0292 0.9864 19S 176E 88 4801m29s
47 -3 -1153-Dec-1316:36:43 28093 949 -38986 A nn 0.0278 0.9844 21S 47E 89 5501m43s
48 -2 -1135-Dec-2401:04:54 27753 908 -38763 A nn 0.0241 0.9828 22S 80W 89 6101m54s
49 -1 -1116-Jan-0409:26:38 27415 867 -38540 A nn 0.0154 0.9818 23S 154E 89 6502m00s
50 0 -1098-Jan-1417:40:34 27079 827 -38317 A nn 0.0013 0.9811 23S 31E 90 6702m03s
51 1 -1080-Jan-2601:45:16 26745 787 -38094 A nn -0.0198 0.9808 23S 90W 89 6802m03s
52 2 -1062-Feb-0509:40:51 26413 749 -37871 A nn -0.0477 0.9806 22S 151E 87 6902m02s
53 3 -1044-Feb-1617:26:33 26083 711 -37648 A nn -0.0832 0.9805 20S 34E 85 7002m00s
54 4 -1026-Feb-2701:00:35 25755 674 -37425 A nn -0.1275 0.9803 19S 80W 83 7001m59s
55 5 -1008-Mar-0908:25:02 25430 637 -37202 A nn -0.1790 0.9801 17S 169E 80 7201m59s
56 6 -0990-Mar-2015:38:45 25106 618 -36979 A -n -0.2384 0.9795 16S 60E 76 7502m02s
57 7 -0972-Mar-3022:43:45 24785 611 -36756 A -p -0.3043 0.9787 15S 47W 72 7902m08s
58 8 -0954-Apr-1105:39:00 24465 604 -36533 A -p -0.3775 0.9774 15S 151W 68 8602m18s
59 9 -0936-Apr-2112:27:40 24148 598 -36310 A -p -0.4552 0.9757 16S 106E 63 9602m32s
60 10 -0918-May-0219:09:30 23833 591 -36087 A -p -0.5372 0.9733 17S 5E 57 11102m52s
61 11 -0900-May-1301:46:08 23519 584 -35864 A -p -0.6225 0.9703 20S 95W 51 13303m16s
62 12 -0882-May-2408:19:07 23208 577 -35641 A -p -0.7097 0.9666 24S 166E 45 16703m44s
63 13 -0864-Jun-0314:50:06 22899 570 -35418 A -p -0.7972 0.9623 30S 66E 37 22304m13s
64 14 -0846-Jun-1421:21:17 22592 563 -35195 A -t -0.8835 0.9570 38S 34W 28 33204m38s
65 15 -0828-Jun-2503:52:23 22287 556 -34972 A -t -0.9687 0.9501 52S 133W 14 76004m51s
66 16 -0810-Jul-0610:27:39 21984 550 -34749 P -t -1.0490 0.8819 66S 123E 0 - -
67 17 -0792-Jul-1617:06:10 21684 543 -34526 P -t -1.1256 0.7486 67S 12E 0 - -
68 18 -0774-Jul-2723:51:43 21385 536 -34303 P -t -1.1956 0.6277 68S 102W 0 - -
69 19 -0756-Aug-0706:42:24 21088 529 -34080 P -t -1.2605 0.5165 69S 142E 0 - -
70 20 -0738-Aug-1813:42:38 20794 522 -33857 P -t -1.3170 0.4207 70S 24E 0 - -
71 21 -0720-Aug-2820:50:04 20501 515 -33634 P -t -1.3667 0.3371 71S 97W 0 - -
72 22 -0702-Sep-0904:06:47 20211 508 -33411 P -t -1.4084 0.2677 71S 139E 0 - -
73 23 -0684-Sep-1911:31:45 19922 501 -33188 P -t -1.4429 0.2109 72S 13E 0 - -
74 24 -0666-Sep-3019:06:26 19636 494 -32965 P -t -1.4694 0.1677 72S 116W 0 - -
75 25 -0648-Oct-1102:48:27 19352 487 -32742 P -t -1.4895 0.1354 72S 113E 0 - -
76 26 -0630-Oct-2210:37:22 19070 480 -32519 P -t -1.5038 0.1126 71S 20W 0 - -
77 27 -0612-Nov-0118:31:30 18789 473 -32296 P -t -1.5136 0.0972 71S 153W 0 - -
78 28 -0594-Nov-1302:30:39 18511 466 -32073 P -t -1.5194 0.0881 70S 73E 0 - -
79 29 -0576-Nov-2310:30:50 18235 459 -31850 P -t -1.5242 0.0806 69S 60W 0 - -
80 30 -0558-Dec-0418:32:32 17962 452 -31627 P -t -1.5276 0.0749 68S 166E 0 - -
Catalog of Solar Eclipses of Saros 33
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
81 31 -0540-Dec-1502:31:50 17690 445 -31404 P -t -1.5330 0.0657 67S 34E 0 - -
82 32 -0522-Dec-2610:29:43 17420 438 -31181 P -t -1.5393 0.0545 66S 97W 0 - -
83 33 -0503-Jan-0518:20:45 17152 432 -30958 P -t -1.5513 0.0335 65S 134E 0 - -
84 34 -0485-Jan-1702:07:51 16841 425 -30735 Pe -t -1.5665 0.0069 64S 7E 0 - -

Statistics for Solar Eclipses of Saros 33

Solar eclipses of Saros 33 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 -1982 Aug 02. The series ended with a partial eclipse in the southern hemisphere on -0485 Jan 17. The total duration of Saros series 33 is 1496.50 years.

Summary of Saros 33
First Eclipse -1982 Aug 02
Last Eclipse -0485 Jan 17
Series Duration 1496.50 Years
No. of Eclipses 84
Sequence 23P 15T 4H 23A 19P

Saros 33 is composed of 84 solar eclipses as follows:

Solar Eclipses of Saros 33
Eclipse Type Symbol Number Percent
All Eclipses - 84100.0%
PartialP 42 50.0%
AnnularA 23 27.4%
TotalT 15 17.9%
HybridH 4 4.8%

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 33 appears in the following table.

Umbral Eclipses of Saros 33
Classification Number Percent
All Umbral Eclipses 42100.0%
Central (two limits) 42100.0%
Central (one limit) 0 0.0%
Non-Central (one limit) 0 0.0%

The 84 eclipses in Saros 33 occur in the following order : 23P 15T 4H 23A 19P

The longest and shortest central eclipses of Saros 33 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 33
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse -0828 Jun 2504m51s -
Shortest Annular Solar Eclipse -1225 Oct 3100m24s -
Longest Total Solar Eclipse -1459 Jun 1104m34s -
Shortest Total Solar Eclipse -1315 Sep 0602m14s -
Longest Hybrid Solar Eclipse -1297 Sep 1701m40s -
Shortest Hybrid Solar Eclipse -1243 Oct 1900m04s -
Largest Partial Solar Eclipse -1585 Mar 28 - 0.99556
Smallest Partial Solar Eclipse -0485 Jan 17 - 0.00688

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.