Saros 113

Catalog of Solar Eclipses of Saros 113

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 113

The table below lists the concise characteristics of every solar eclipse belonging to Saros 113 . 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 113
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
1-36 0586-Jul-2201:07:10 4838 122 -17482 Pb t- 1.4881 0.0867 69N 15W 0 - -
2-35 0604-Aug-0108:37:42 4667 118 -17259 P t- 1.4302 0.1980 70N 141W 0 - -
3-34 0622-Aug-1216:12:33 4497 115 -17036 P t- 1.3764 0.3004 70N 92E 0 - -
4-33 0640-Aug-2223:54:18 4329 111 -16813 P t- 1.3288 0.3905 71N 37W 0 - -
5-32 0658-Sep-0307:42:01 4163 108 -16590 P t- 1.2867 0.4692 72N 168W 0 - -
6-31 0676-Sep-1315:37:02 3998 105 -16367 P t- 1.2510 0.5351 72N 59E 0 - -
7-30 0694-Sep-2423:39:00 3835 101 -16144 P t- 1.2216 0.5888 72N 77W 0 - -
8-29 0712-Oct-0507:48:44 3675 98 -15921 P t- 1.1990 0.6296 72N 146E 0 - -
9-28 0730-Oct-1616:04:41 3517 95 -15698 P t- 1.1824 0.6589 71N 8E 0 - -
10-27 0748-Oct-2700:26:07 3361 92 -15475 P t- 1.1710 0.6788 70N 132W 0 - -
11-26 0766-Nov-0708:52:44 3208 89 -15252 P t- 1.1645 0.6896 70N 88E 0 - -
12-25 0784-Nov-1717:23:43 3058 86 -15029 P t- 1.1620 0.6933 69N 52W 0 - -
13-24 0802-Nov-2901:56:28 2911 83 -14806 P t- 1.1617 0.6932 68N 168E 0 - -
14-23 0820-Dec-0910:30:21 2768 80 -14583 P t- 1.1630 0.6903 67N 28E 0 - -
15-22 0838-Dec-2019:02:51 2628 77 -14360 P t- 1.1639 0.6884 65N 111W 0 - -
16-21 0856-Dec-3103:33:55 2491 74 -14137 P t- 1.1642 0.6874 64N 111E 0 - -
17-20 0875-Jan-1111:59:05 2359 71 -13914 P t- 1.1604 0.6940 64N 26W 0 - -
18-19 0893-Jan-2120:20:13 2231 69 -13691 P t- 1.1539 0.7053 63N 161W 0 - -
19-18 0911-Feb-0204:32:48 2107 66 -13468 P t- 1.1410 0.7278 62N 66E 0 - -
20-17 0929-Feb-1212:38:34 1987 63 -13245 P t- 1.1234 0.7589 62N 64W 0 - -
21-16 0947-Feb-2320:33:06 1872 61 -13022 P t- 1.0973 0.8048 61N 168E 0 - -
22-15 0965-Mar-0604:19:53 1761 58 -12799 P t- 1.0655 0.8606 61N 42E 0 - -
23-14 0983-Mar-1711:55:12 1655 56 -12576 P t- 1.0251 0.9316 61N 81W 0 - -
24-13 1001-Mar-2719:20:50 1553 54 -12353 A p- 0.9775 0.9637 61N 178W 11 64302m26s
25-12 1019-Apr-0802:35:54 1456 51 -12130 A p- 0.9223 0.9664 61N 87E 22 31102m23s
26-11 1037-Apr-1809:42:34 1363 49 -11907 A p- 0.8608 0.9679 61N 10W 30 22502m21s
27-10 1055-Apr-2916:40:27 1276 47 -11684 A p- 0.7927 0.9687 61N 105W 37 18302m22s
28 -9 1073-May-0923:30:30 1192 45 -11461 A p- 0.7189 0.9690 60N 162E 44 16002m27s
29 -8 1091-May-2106:14:27 1113 42 -11238 A p- 0.6408 0.9687 59N 70E 50 14602m37s
30 -7 1109-May-3112:53:42 1039 40 -11015 A p- 0.5597 0.9678 56N 22W 56 14002m51s
31 -6 1127-Jun-1119:28:54 969 38 -10792 A p- 0.4757 0.9665 52N 114W 61 13803m10s
32 -5 1145-Jun-2202:02:40 903 36 -10569 A p- 0.3910 0.9645 47N 152E 67 14003m35s
33 -4 1163-Jul-0308:36:00 841 34 -10346 A pn 0.3065 0.9620 41N 56E 72 14504m06s
34 -3 1181-Jul-1315:11:34 783 33 -10123 A nn 0.2245 0.9590 34N 42W 77 15304m42s
35 -2 1199-Jul-2421:48:27 729 31 -9900 A nn 0.1440 0.9557 27N 141W 82 16305m21s
36 -1 1217-Aug-0404:30:46 678 29 -9677 Am nn 0.0687 0.9520 19N 117E 86 17606m01s
37 0 1235-Aug-1511:17:19 630 27 -9454 A nn -0.0027 0.9481 12N 14E 90 19106m40s
38 1 1253-Aug-2518:11:49 586 26 -9231 A nn -0.0670 0.9440 4N 92W 86 20707m16s
39 2 1271-Sep-0601:11:56 545 24 -9008 A nn -0.1263 0.9398 3S 161E 83 22507m48s
40 3 1289-Sep-1608:21:59 506 22 -8785 A nn -0.1768 0.9357 10S 51E 80 24308m15s
Catalog of Solar Eclipses of Saros 113
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 4 1307-Sep-2715:39:00 470 21 -8562 A nn -0.2211 0.9317 17S 60W 77 26108m39s
42 5 1325-Oct-0723:05:29 436 20 -8339 A nn -0.2573 0.9281 23S 173W 75 27908m57s
43 6 1343-Oct-1906:39:22 404 20 -8116 A -n -0.2872 0.9247 29S 73E 73 29609m12s
44 7 1361-Oct-2914:21:50 374 20 -7893 A -n -0.3101 0.9219 34S 42W 72 31009m22s
45 8 1379-Nov-0922:10:27 346 20 -7670 A -n -0.3275 0.9195 38S 158W 71 32309m29s
46 9 1397-Nov-2006:04:16 320 20 -7447 A -n -0.3407 0.9178 42S 86E 70 33309m32s
47 10 1415-Dec-0114:02:30 295 20 -7224 A -n -0.3502 0.9166 44S 31W 69 33909m31s
48 11 1433-Dec-1122:03:42 271 20 -7001 A -n -0.3579 0.9162 45S 147W 69 34209m25s
49 12 1451-Dec-2306:05:18 249 20 -6778 A -n -0.3650 0.9164 44S 96E 68 34209m16s
50 13 1470-Jan-0214:05:54 228 20 -6555 A -p -0.3732 0.9173 43S 21W 68 33909m02s
51 14 1488-Jan-1322:03:43 208 20 -6332 A -p -0.3839 0.9188 41S 137W 67 33308m45s
52 15 1506-Jan-2405:58:05 189 20 -6109 A -p -0.3978 0.9209 38S 106E 66 32508m26s
53 16 1524-Feb-0413:45:34 172 20 -5886 A -p -0.4176 0.9235 35S 9W 65 31508m05s
54 17 1542-Feb-1421:27:22 156 20 -5663 A -p -0.4423 0.9265 33S 124W 64 30507m44s
55 18 1560-Feb-2605:00:43 142 20 -5440 A -p -0.4741 0.9299 30S 124E 62 29407m22s
56 19 1578-Mar-0812:26:50 130 20 -5217 A -p -0.5120 0.9336 28S 12E 59 28307m01s
57 20 1596-Mar-2819:43:17 120 20 -4994 A -p -0.5583 0.9373 26S 97W 56 27506m41s
58 21 1614-Apr-0902:52:56 101 18 -4771 A -p -0.6103 0.9411 26S 156E 52 26806m22s
59 22 1632-Apr-1909:54:29 75 15 -4548 A -p -0.6694 0.9447 26S 51E 48 26706m03s
60 23 1650-Apr-3016:48:48 48 12 -4325 A -p -0.7347 0.9481 28S 53W 43 27405m43s
61 24 1668-May-1023:37:24 25 10 -4102 A -p -0.8048 0.9510 32S 155W 36 29605m21s
62 25 1686-May-2206:21:19 10 7 -3879 A -p -0.8791 0.9533 39S 103E 28 35304m56s
63 26 1704-Jun-0213:02:36 8 5 -3656 A -t -0.9561 0.9542 49S 3E 16 57804m26s
64 27 1722-Jun-1319:40:18 10 4 -3433 P -t -1.0364 0.9084 65S 94W 0 - -
65 28 1740-Jun-2402:18:53 11 3 -3210 P -t -1.1163 0.7697 66S 157E 0 - -
66 29 1758-Jul-0508:57:44 14 3 -2987 P -t -1.1961 0.6303 67S 46E 0 - -
67 30 1776-Jul-1515:39:29 16 2 -2764 P -t -1.2739 0.4935 68S 65W 0 - -
68 31 1794-Jul-2622:24:27 15 1 -2541 P -t -1.3496 0.3599 69S 178W 0 - -
69 32 1812-Aug-0705:15:50 12 1 -2318 P -t -1.4205 0.2344 70S 67E 0 - -
70 33 1830-Aug-1812:13:35 7 1 -2095 P -t -1.4866 0.1172 71S 50W 0 - -
71 34 1848-Aug-2819:18:22 7 1 -1872 Pe -t -1.5475 0.0091 71S 170W 0 - -

Statistics for Solar Eclipses of Saros 113

Solar eclipses of Saros 113 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 0586 Jul 22. The series ended with a partial eclipse in the southern hemisphere on 1848 Aug 28. The total duration of Saros series 113 is 1262.11 years.

Summary of Saros 113
First Eclipse 0586 Jul 22
Last Eclipse 1848 Aug 28
Series Duration 1262.11 Years
No. of Eclipses 71
Sequence 23P 40A 8P

Saros 113 is composed of 71 solar eclipses as follows:

Solar Eclipses of Saros 113
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PartialP 31 43.7%
AnnularA 40 56.3%
TotalT 0 0.0%
HybridH 0 0.0%

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 113 appears in the following table.

Umbral Eclipses of Saros 113
Classification Number Percent
All Umbral Eclipses 40100.0%
Central (two limits) 40100.0%
Central (one limit) 0 0.0%
Non-Central (one limit) 0 0.0%

The 71 eclipses in Saros 113 occur in the following order : 23P 40A 8P

The longest and shortest central eclipses of Saros 113 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 113
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 1397 Nov 2009m32s -
Shortest Annular Solar Eclipse 1037 Apr 1802m21s -
Largest Partial Solar Eclipse 0983 Mar 17 - 0.93162
Smallest Partial Solar Eclipse 1848 Aug 28 - 0.00905

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.