Saros 135

Catalog of Solar Eclipses of Saros 135

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 135

The table below lists the concise characteristics of every solar eclipse belonging to Saros 135 . 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 135
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
1-34 1331-Jul-0522:46:35 426 20 -8268 Pb t- 1.5532 0.0063 68N 13E 0 - -
2-33 1349-Jul-1605:25:42 395 20 -8045 P t- 1.4783 0.1383 69N 99W 0 - -
3-32 1367-Jul-2712:05:45 365 20 -7822 P t- 1.4043 0.2678 70N 149E 0 - -
4-31 1385-Aug-0618:51:37 338 20 -7599 P t- 1.3353 0.3878 71N 35E 0 - -
5-30 1403-Aug-1801:41:40 312 20 -7376 P t- 1.2698 0.5006 71N 80W 0 - -
6-29 1421-Aug-2808:38:52 287 20 -7153 P t- 1.2101 0.6024 72N 162E 0 - -
7-28 1439-Sep-0815:42:18 264 20 -6930 P t- 1.1555 0.6947 72N 42E 0 - -
8-27 1457-Sep-1822:54:57 242 20 -6707 P t- 1.1083 0.7737 72N 81W 0 - -
9-26 1475-Sep-3006:15:12 221 20 -6484 P t- 1.0676 0.8410 72N 155E 0 - -
10-25 1493-Oct-1013:43:33 201 20 -6261 P t- 1.0335 0.8969 71N 29E 0 - -
11-24 1511-Oct-2121:19:48 183 20 -6038 A+ t- 1.0059 0.9416 71N 99W 0 - -
12-23 1529-Nov-0105:04:10 166 20 -5815 An t- 0.9846 0.9119 62N 123E 9 - 08m09s
13-22 1547-Nov-1212:54:22 151 20 -5592 A p- 0.9684 0.9106 56N 5W 14 142008m59s
14-21 1565-Nov-2220:49:54 138 20 -5369 A p- 0.9564 0.9092 51N 130W 16 122009m37s
15-20 1583-Dec-1404:48:37 126 20 -5146 A p- 0.9471 0.9083 49N 104E 18 111610m03s
16-19 1601-Dec-2412:50:30 116 20 -4923 A p- 0.9402 0.9078 47N 22W 19 105110m14s
17-18 1620-Jan-0420:51:03 94 17 -4700 A p- 0.9322 0.9081 45N 146W 21 97610m13s
18-17 1638-Jan-1504:51:53 67 14 -4477 A p- 0.9242 0.9090 44N 89E 22 90710m00s
19-16 1656-Jan-2612:48:09 40 12 -4254 A p- 0.9122 0.9106 43N 34W 24 82009m38s
20-15 1674-Feb-0520:41:35 19 9 -4031 A p- 0.8979 0.9129 43N 156W 26 73609m09s
21-14 1692-Feb-1704:26:55 8 6 -3808 A p- 0.8765 0.9159 42N 86E 28 64408m36s
22-13 1710-Feb-2812:07:28 9 5 -3585 A p- 0.8509 0.9194 43N 31W 31 56208m00s
23-12 1728-Mar-1019:38:55 10 4 -3362 A p- 0.8172 0.9233 43N 145W 35 48507m25s
24-11 1746-Mar-2203:02:48 12 3 -3139 A p- 0.7771 0.9277 43N 105E 39 41906m51s
25-10 1764-Apr-0110:17:14 15 2 -2916 A p- 0.7289 0.9323 44N 3W 43 36106m20s
26 -9 1782-Apr-1217:24:47 17 2 -2693 A p- 0.6745 0.9370 45N 107W 47 31105m51s
27 -8 1800-Apr-2400:23:59 13 1 -2470 A p- 0.6125 0.9417 46N 151E 52 26905m27s
28 -7 1818-May-0507:15:49 12 1 -2247 A p- 0.5440 0.9464 46N 52E 57 23305m05s
29 -6 1836-May-1514:01:39 5 1 -2024 A p- 0.4700 0.9509 45N 44W 62 20304m47s
30 -5 1854-May-2620:42:53 7 1 -1801 A p- 0.3918 0.9551 43N 140W 67 17804m32s
31 -4 1872-Jun-0603:20:03 -1 0 -1578 A p- 0.3095 0.9590 40N 125E 72 15704m20s
32 -3 1890-Jun-1709:55:05 -6 0 -1355 A nn 0.2247 0.9625 36N 29E 77 14004m09s
33 -2 1908-Jun-2816:29:51 8 0 -1132 A nn 0.1390 0.9655 31N 67W 82 12604m00s
34 -1 1926-Jul-0923:06:02 24 0 -909 A nn 0.0538 0.9680 26N 165W 87 11503m51s
35 0 1944-Jul-2005:43:13 27 0 -686 A nn -0.0314 0.9700 19N 96E 88 10803m42s
36 1 1962-Jul-3112:25:33 34 0 -463 Am nn -0.1130 0.9716 12N 6W 84 10303m33s
37 2 1980-Aug-1019:12:21 51 0 -240 A nn -0.1915 0.9727 5N 109W 79 10003m23s
38 3 1998-Aug-2202:07:11 63 0 -17 A nn -0.2644 0.9734 3S 145E 75 9903m14s
39 4 2016-Sep-0109:08:02 68 0 206 A -n -0.3330 0.9736 11S 38E 70 10003m06s
40 5 2034-Sep-1216:19:28 76 2 429 A -p -0.3936 0.9736 18S 73W 67 10202m58s
Catalog of Solar Eclipses of Saros 135
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 6 2052-Sep-2223:39:10 87 6 652 A -p -0.4480 0.9734 26S 175E 63 10602m51s
42 7 2070-Oct-0407:08:57 100 11 875 A -p -0.4950 0.9731 33S 60E 60 11002m44s
43 8 2088-Oct-1414:48:05 116 16 1098 A -p -0.5349 0.9727 40S 56W 57 11502m38s
44 9 2106-Oct-2622:37:40 134 23 1321 A -p -0.5671 0.9725 46S 174W 55 11902m32s
45 10 2124-Nov-0606:36:34 155 30 1544 A -p -0.5921 0.9724 52S 66E 53 12302m26s
46 11 2142-Nov-1714:43:08 179 38 1767 A -p -0.6117 0.9727 56S 53W 52 12402m19s
47 12 2160-Nov-2722:58:32 205 46 1990 A -p -0.6247 0.9734 60S 172W 51 12302m11s
48 13 2178-Dec-0907:20:02 233 55 2213 A -p -0.6338 0.9745 62S 69E 50 11802m03s
49 14 2196-Dec-1915:47:09 265 65 2436 A -p -0.6387 0.9762 63S 49W 50 11101m53s
50 15 2215-Jan-0100:16:36 298 75 2659 A -p -0.6427 0.9783 62S 169W 50 10101m41s
51 16 2233-Jan-1108:49:17 335 85 2882 A -p -0.6447 0.9811 60S 70E 50 8801m28s
52 17 2251-Jan-2217:21:41 374 96 3105 A -p -0.6481 0.9844 57S 54W 49 7201m12s
53 18 2269-Feb-0201:53:05 415 108 3328 A -p -0.6529 0.9883 53S 179W 49 5400m54s
54 19 2287-Feb-1310:21:24 459 120 3551 A -p -0.6613 0.9926 49S 55E 48 3400m35s
55 20 2305-Feb-2418:46:09 506 133 3774 A -p -0.6732 0.9973 46S 70W 47 1300m13s
56 21 2323-Mar-0803:05:09 555 146 3997 H -p -0.6906 1.0023 42S 165E 46 1100m11s
57 22 2341-Mar-1811:18:19 607 159 4220 H -p -0.7137 1.0075 40S 42E 44 3600m36s
58 23 2359-Mar-2919:24:46 662 173 4443 T -p -0.7430 1.0129 38S 80W 42 6501m02s
59 24 2377-Apr-0903:25:10 719 187 4666 T -p -0.7780 1.0180 37S 159E 39 9601m28s
60 25 2395-Apr-2011:17:14 778 202 4889 T -p -0.8204 1.0230 38S 41E 35 13401m52s
61 26 2413-Apr-3019:03:56 840 217 5112 T -p -0.8677 1.0274 40S 76W 30 18302m13s
62 27 2431-May-1202:43:29 905 233 5335 T -p -0.9214 1.0310 45S 169E 22 26802m27s
63 28 2449-May-2210:19:14 972 249 5558 T -t -0.9790 1.0328 54S 58E 11 56702m24s
64 29 2467-Jun-0217:48:23 1042 266 5781 P -t -1.0425 0.9314 64S 52W 0 - -
65 30 2485-Jun-1301:16:17 1115 282 6004 P -t -1.1076 0.8094 65S 173W 0 - -
66 31 2503-Jun-2508:40:21 1190 300 6227 P -t -1.1759 0.6799 66S 66E 0 - -
67 32 2521-Jul-0516:04:52 1267 317 6450 P -t -1.2445 0.5492 67S 56W 0 - -
68 33 2539-Jul-1623:27:48 1347 336 6673 P -t -1.3149 0.4142 68S 177W 0 - -
69 34 2557-Jul-2706:54:06 1430 354 6896 P -t -1.3828 0.2835 69S 60E 0 - -
70 35 2575-Aug-0714:21:36 1515 373 7119 P -t -1.4499 0.1540 70S 64W 0 - -
71 36 2593-Aug-1721:53:02 1603 392 7342 Pe -t -1.5141 0.0302 71S 171E 0 - -

Statistics for Solar Eclipses of Saros 135

Solar eclipses of Saros 135 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 1331 Jul 05. The series will end with a partial eclipse in the southern hemisphere on 2593 Aug 17. The total duration of Saros series 135 is 1262.11 years.

Summary of Saros 135
First Eclipse 1331 Jul 05
Last Eclipse 2593 Aug 17
Series Duration 1262.11 Years
No. of Eclipses 71
Sequence 10P 45A 2H 6T 8P

Saros 135 is composed of 71 solar eclipses as follows:

Solar Eclipses of Saros 135
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PartialP 18 25.4%
AnnularA 45 63.4%
TotalT 6 8.5%
HybridH 2 2.8%

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 135 appears in the following table.

Umbral Eclipses of Saros 135
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 71 eclipses in Saros 135 occur in the following order : 10P 45A 2H 6T 8P

The longest and shortest central eclipses of Saros 135 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 135
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 1601 Dec 2410m14s -
Shortest Annular Solar Eclipse 2305 Feb 2400m13s -
Longest Total Solar Eclipse 2431 May 1202m27s -
Shortest Total Solar Eclipse 2359 Mar 2901m02s -
Longest Hybrid Solar Eclipse 2341 Mar 1800m36s -
Shortest Hybrid Solar Eclipse 2323 Mar 0800m11s -
Largest Partial Solar Eclipse 2467 Jun 02 - 0.93142
Smallest Partial Solar Eclipse 1331 Jul 05 - 0.00626

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.