Saros 13

Catalog of Solar Eclipses of Saros 13

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 13

The table below lists the concise characteristics of every solar eclipse belonging to Saros 13 . 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 13
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
1-40 -2525-Oct-0411:33:02 60054 6222 -55958 P t- 1.5489 0.0241 71N 1W 0 - -
2-39 -2507-Oct-1419:40:40 59556 6127 -55735 P t- 1.5473 0.0289 71N 139W 0 - -
3-38 -2489-Oct-2603:52:02 59061 6032 -55512 P t- 1.5492 0.0273 71N 82E 0 - -
4-37 -2471-Nov-0512:04:35 58567 5938 -55289 P t- 1.5524 0.0233 71N 57W 0 - -
5-36 -2453-Nov-1620:17:04 58076 5845 -55066 P t- 1.5565 0.0176 70N 164E 0 - -
6-35 -2435-Nov-2704:25:59 57586 5753 -54843 P t- 1.5580 0.0156 69N 27E 0 - -
7-34 -2417-Dec-0812:31:48 57099 5661 -54620 P t- 1.5577 0.0166 69N 109W 0 - -
8-33 -2399-Dec-1820:31:30 56614 5570 -54397 P t- 1.5527 0.0251 68N 118E 0 - -
9-32 -2381-Dec-3004:23:30 56130 5479 -54174 P t- 1.5421 0.0428 66N 13W 0 - -
10-31 -2362-Jan-0912:06:30 55649 5390 -53951 P t- 1.5246 0.0719 65N 141W 0 - -
11-30 -2344-Jan-2019:40:17 55170 5301 -53728 P t- 1.5000 0.1129 64N 93E 0 - -
12-29 -2326-Jan-3103:03:58 54693 5212 -53505 P t- 1.4674 0.1673 63N 29W 0 - -
13-28 -2308-Feb-1110:16:36 54218 5124 -53282 P t- 1.4261 0.2366 63N 149W 0 - -
14-27 -2290-Feb-2117:19:15 53745 5037 -53059 P t- 1.3768 0.3198 62N 94E 0 - -
15-26 -2272-Mar-0400:11:49 53275 4951 -52836 P t- 1.3195 0.4169 61N 20W 0 - -
16-25 -2254-Mar-1506:54:30 52806 4865 -52613 P t- 1.2541 0.5280 61N 131W 0 - -
17-24 -2236-Mar-2513:28:57 52339 4780 -52390 P t- 1.1819 0.6512 61N 119E 0 - -
18-23 -2218-Apr-0519:56:21 51875 4696 -52167 P t- 1.1039 0.7847 60N 12E 0 - -
19-22 -2200-Apr-1602:18:43 51412 4612 -51944 P t- 1.0213 0.9261 60N 94W 0 - -
20-21 -2182-Apr-2708:35:17 50952 4529 -51721 A t- 0.9338 0.9399 59N 158W 21 61604m36s
21-20 -2164-May-0714:51:05 50493 4447 -51498 A p- 0.8455 0.9429 57N 121E 32 38804m37s
22-19 -2146-May-1821:04:49 50037 4366 -51275 A p- 0.7551 0.9449 56N 35E 41 30504m39s
23-18 -2128-May-2903:21:07 49583 4285 -51052 A p- 0.6662 0.9461 55N 52W 48 26404m45s
24-17 -2110-Jun-0909:38:03 49131 4205 -50829 A p- 0.5773 0.9467 53N 141W 54 23904m55s
25-16 -2092-Jun-1916:01:53 48681 4125 -50606 A p- 0.4935 0.9467 51N 128E 60 22605m11s
26-15 -2074-Jun-3022:30:15 48233 4046 -50383 A p- 0.4131 0.9462 48N 35E 65 21805m31s
27-14 -2056-Jul-1105:07:01 47787 3968 -50160 A p- 0.3392 0.9454 44N 62W 70 21405m54s
28-13 -2038-Jul-2211:51:38 47343 3891 -49937 A pn 0.2710 0.9442 39N 162W 74 21406m20s
29-12 -2020-Aug-0118:47:24 46901 3814 -49714 A nn 0.2115 0.9430 35N 95E 78 21606m45s
30-11 -2002-Aug-1301:52:34 46461 3738 -49491 A nn 0.1593 0.9416 29N 13W 81 21907m08s
31-10 -1984-Aug-2309:08:19 46024 3662 -49268 A nn 0.1152 0.9402 24N 123W 83 22307m27s
32 -9 -1966-Sep-0316:34:32 45588 3588 -49045 A nn 0.0795 0.9390 19N 123E 85 22707m41s
33 -8 -1948-Sep-1400:11:42 45155 3514 -48822 A nn 0.0522 0.9380 13N 7E 87 23107m50s
34 -7 -1930-Sep-2507:57:43 44723 3440 -48599 A nn 0.0317 0.9374 8N 113W 88 23307m55s
35 -6 -1912-Oct-0515:52:56 44294 3368 -48376 A nn 0.0182 0.9371 2N 126E 89 23407m55s
36 -5 -1894-Oct-1623:55:08 43867 3296 -48153 A nn 0.0099 0.9375 3S 3E 89 23207m51s
37 -4 -1876-Oct-2708:03:58 43441 3224 -47930 A nn 0.0064 0.9384 7S 122W 90 22907m43s
38 -3 -1858-Nov-0716:15:24 43018 3154 -47707 A nn 0.0044 0.9400 12S 113E 90 22207m30s
39 -2 -1840-Nov-1800:30:42 42597 3084 -47484 A nn 0.0048 0.9422 15S 12W 90 21407m13s
40 -1 -1822-Nov-2908:45:20 42178 3015 -47261 A nn 0.0036 0.9451 19S 137W 90 20206m49s
Catalog of Solar Eclipses of Saros 13
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 0 -1804-Dec-0916:59:41 41761 2946 -47038 A nn 0.0016 0.9487 21S 98E 90 18806m18s
42 1 -1786-Dec-2101:09:23 41346 2878 -46815 Am nn -0.0053 0.9530 23S 25W 90 17205m42s
43 2 -1768-Dec-3109:16:15 40933 2811 -46592 A nn -0.0154 0.9578 25S 147W 89 15404m59s
44 3 -1749-Jan-1117:16:34 40523 2745 -46369 A nn -0.0322 0.9631 26S 93E 88 13304m13s
45 4 -1731-Jan-2201:10:21 40114 2679 -46146 A nn -0.0551 0.9690 26S 26W 87 11203m25s
46 5 -1713-Feb-0208:56:15 39707 2614 -45923 A nn -0.0856 0.9750 26S 142W 85 9002m39s
47 6 -1695-Feb-1216:35:13 39303 2550 -45700 A nn -0.1227 0.9814 25S 103E 83 6701m54s
48 7 -1677-Feb-2400:06:35 38900 2486 -45477 A nn -0.1673 0.9877 24S 10W 80 4401m12s
49 8 -1659-Mar-0607:30:27 38500 2424 -45254 A nn -0.2189 0.9941 23S 122W 77 2100m34s
50 9 -1641-Mar-1714:47:57 38102 2361 -45031 H nn -0.2770 1.0002 21S 129E 74 100m01s
51 10 -1623-Mar-2721:59:50 37706 2300 -44808 H -n -0.3404 1.0061 20S 20E 70 2200m33s
52 11 -1605-Apr-0805:06:50 37311 2239 -44585 H -p -0.4090 1.0115 20S 88W 66 4301m03s
53 12 -1587-Apr-1812:10:34 36919 2179 -44362 T -p -0.4813 1.0163 20S 166E 61 6301m29s
54 13 -1569-Apr-2919:12:32 36529 2120 -44139 T -p -0.5559 1.0205 21S 59E 56 8301m53s
55 14 -1551-May-1002:14:30 36141 2061 -43916 T -p -0.6315 1.0240 22S 48W 51 10302m12s
56 15 -1533-May-2109:16:13 35755 2003 -43693 T -p -0.7082 1.0266 25S 155W 45 12602m27s
57 16 -1515-May-3116:21:24 35372 1946 -43470 T -p -0.7828 1.0283 29S 97E 38 15202m35s
58 17 -1497-Jun-1123:29:08 34990 1889 -43247 T -p -0.8559 1.0290 35S 12W 31 18902m35s
59 18 -1479-Jun-2206:42:51 34610 1834 -43024 T -p -0.9251 1.0286 44S 124W 22 25602m25s
60 19 -1461-Jul-0314:00:58 34232 1779 -42801 Ts -t -0.9912 1.0252 59S 125E 6 - 01m52s
61 20 -1443-Jul-1321:27:42 33857 1724 -42578 P -t -1.0509 0.9114 66S 5E 0 - -
62 21 -1425-Jul-2505:01:27 33483 1671 -42355 P -t -1.1052 0.8095 67S 121W 0 - -
63 22 -1407-Aug-0412:44:00 33112 1618 -42132 P -t -1.1529 0.7199 68S 110E 0 - -
64 23 -1389-Aug-1520:35:26 32743 1565 -41909 P -t -1.1941 0.6425 69S 21W 0 - -
65 24 -1371-Aug-2604:36:30 32375 1514 -41686 P -t -1.2280 0.5788 70S 155W 0 - -
66 25 -1353-Sep-0612:46:53 32010 1463 -41463 P -t -1.2548 0.5286 71S 68E 0 - -
67 26 -1335-Sep-1621:05:15 31647 1413 -41240 P -t -1.2757 0.4895 71S 72W 0 - -
68 27 -1317-Sep-2805:33:01 31286 1364 -41017 P -t -1.2896 0.4634 72S 145E 0 - -
69 28 -1299-Oct-0814:07:56 30927 1315 -40794 P -t -1.2985 0.4468 72S 1E 0 - -
70 29 -1281-Oct-1922:49:57 30570 1268 -40571 P -t -1.3023 0.4397 71S 145W 0 - -
71 30 -1263-Oct-3007:36:12 30215 1221 -40348 P -t -1.3034 0.4378 71S 68E 0 - -
72 31 -1245-Nov-1016:27:09 29862 1174 -40125 P -t -1.3012 0.4418 70S 79W 0 - -
73 32 -1227-Nov-2101:19:16 29512 1129 -39902 P -t -1.2988 0.4463 69S 133E 0 - -
74 33 -1209-Dec-0210:11:56 29163 1084 -39679 P -t -1.2966 0.4505 68S 13W 0 - -
75 34 -1191-Dec-1219:02:46 28817 1040 -39456 P -t -1.2965 0.4507 67S 159W 0 - -
76 35 -1173-Dec-2403:51:08 28472 997 -39233 P -t -1.2989 0.4461 66S 57E 0 - -
77 36 -1154-Jan-0312:33:58 28130 954 -39010 P -t -1.3061 0.4323 65S 86W 0 - -
78 37 -1136-Jan-1421:11:25 27789 912 -38787 P -t -1.3182 0.4094 64S 133E 0 - -
79 38 -1118-Jan-2505:41:28 27451 871 -38564 P -t -1.3365 0.3743 63S 5W 0 - -
80 39 -1100-Feb-0514:05:13 27115 831 -38341 P -t -1.3606 0.3280 63S 142W 0 - -
Catalog of Solar Eclipses of Saros 13
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 40 -1082-Feb-1522:19:01 26781 791 -38118 P -t -1.3929 0.2658 62S 84E 0 - -
82 41 -1064-Feb-2706:26:19 26449 753 -37895 P -t -1.4307 0.1926 61S 48W 0 - -
83 42 -1046-Mar-0914:24:11 26119 715 -37672 P -t -1.4762 0.1040 61S 178W 0 - -
84 43 -1028-Mar-1922:16:29 25791 678 -37449 Pe -t -1.5266 0.0058 61S 54E 0 - -

Statistics for Solar Eclipses of Saros 13

Solar eclipses of Saros 13 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 -2525 Oct 04. The series ended with a partial eclipse in the southern hemisphere on -1028 Mar 19. The total duration of Saros series 13 is 1496.50 years.

Summary of Saros 13
First Eclipse -2525 Oct 04
Last Eclipse -1028 Mar 19
Series Duration 1496.50 Years
No. of Eclipses 84
Sequence 19P 30A 3H 8T 24P

Saros 13 is composed of 84 solar eclipses as follows:

Solar Eclipses of Saros 13
Eclipse Type Symbol Number Percent
All Eclipses - 84100.0%
PartialP 43 51.2%
AnnularA 30 35.7%
TotalT 8 9.5%
HybridH 3 3.6%

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 13 appears in the following table.

Umbral Eclipses of Saros 13
Classification Number Percent
All Umbral Eclipses 41100.0%
Central (two limits) 40 97.6%
Central (one limit) 1 2.4%
Non-Central (one limit) 0 0.0%

The 84 eclipses in Saros 13 occur in the following order : 19P 30A 3H 8T 24P

The longest and shortest central eclipses of Saros 13 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 13
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse -1912 Oct 0507m55s -
Shortest Annular Solar Eclipse -1659 Mar 0600m34s -
Longest Total Solar Eclipse -1515 May 3102m35s -
Shortest Total Solar Eclipse -1587 Apr 1801m29s -
Longest Hybrid Solar Eclipse -1605 Apr 0801m03s -
Shortest Hybrid Solar Eclipse -1641 Mar 1700m01s -
Largest Partial Solar Eclipse -2200 Apr 16 - 0.92612
Smallest Partial Solar Eclipse -1028 Mar 19 - 0.00577

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.