EclipseWise - Catalog of Solar Eclipses of Saros 157

Introduction

A solar eclipse occurs whenever the Moon's shadow passes across Earth's surface. At least two solar eclipses and as many as five occur every year.

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 157

The table below lists the concise characteristics of every solar eclipse belonging to Saros 157 . 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 157
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	-33	2058-Jun-21	00:19:35	88	13	723	Pb	t-	1.4869	0.1261	66N	10E	0	-	-
2	-32	2076-Jul-01	06:50:43	100	22	946	P	t-	1.4005	0.2746	67N	98W	0	-	-
3	-31	2094-Jul-12	13:24:35	116	34	1169	P	t-	1.3149	0.4225	68N	152E	0	-	-
4	-30	2112-Jul-23	19:58:32	133	47	1392	P	t-	1.2284	0.5725	69N	43E	0	-	-
5	-29	2130-Aug-04	02:38:44	154	61	1615	P	t-	1.1460	0.7159	70N	69W	0	-	-
6	-28	2148-Aug-14	09:22:21	176	77	1838	P	t-	1.0654	0.8563	71N	177E	0	-	-
7	-27	2166-Aug-25	16:13:35	202	94	2061	An	t-	0.9900	0.9531	74N	41E	7	-	03m00s
8	-26	2184-Sep-04	23:11:00	230	112	2284	A	t-	0.9185	0.9576	67N	124W	23	393	03m12s
9	-25	2202-Sep-17	06:18:53	261	131	2507	A	t-	0.8545	0.9597	57N	113E	31	281	03m24s
10	-24	2220-Sep-27	13:35:07	294	151	2730	A	p-	0.7966	0.9609	48N	4W	37	232	03m36s
11	-23	2238-Oct-08	21:01:18	329	173	2953	A	p-	0.7459	0.9618	40N	121W	41	206	03m47s
12	-22	2256-Oct-19	04:37:31	368	195	3176	A	p-	0.7025	0.9624	33N	121E	45	190	03m59s
13	-21	2274-Oct-30	12:24:17	409	218	3399	A	p-	0.6666	0.9629	27N	1E	48	179	04m08s
14	-20	2292-Nov-09	20:20:06	452	242	3622	A	p-	0.6375	0.9635	22N	120W	50	171	04m14s
15	-19	2310-Nov-22	04:24:19	498	268	3845	A	p-	0.6145	0.9642	18N	117E	52	164	04m16s
16	-18	2328-Dec-02	12:36:36	547	294	4068	A	p-	0.5974	0.9652	15N	8W	53	157	04m13s
17	-17	2346-Dec-13	20:55:35	598	321	4291	A	p-	0.5848	0.9665	13N	134W	54	149	04m04s
18	-16	2364-Dec-24	05:18:58	652	349	4514	A	p-	0.5752	0.9683	12N	99E	55	139	03m48s
19	-15	2383-Jan-04	13:46:25	708	377	4737	A	p-	0.5682	0.9706	11N	29W	55	127	03m26s
20	-14	2401-Jan-14	22:15:19	767	407	4960	A	p-	0.5617	0.9735	12N	158W	56	114	03m00s
21	-13	2419-Jan-26	06:44:36	828	438	5183	A	p-	0.5549	0.9770	13N	74E	56	97	02m30s
22	-12	2437-Feb-05	15:11:24	892	469	5406	A	p-	0.5453	0.9810	15N	54W	57	79	01m58s
23	-11	2455-Feb-16	23:36:26	959	501	5629	A	p-	0.5334	0.9857	17N	179E	58	59	01m25s
24	-10	2473-Feb-27	07:56:50	1028	534	5852	A	p-	0.5167	0.9908	20N	53E	59	37	00m53s
25	-9	2491-Mar-10	16:11:56	1100	568	6075	A	p-	0.4951	0.9964	22N	71W	60	14	00m20s
26	-8	2509-Mar-22	00:20:45	1174	603	6298	H	p-	0.4675	1.0023	25N	167E	62	9	00m12s
27	-7	2527-Apr-02	08:23:25	1251	638	6521	H	p-	0.4340	1.0086	27N	47E	64	33	00m45s
28	-6	2545-Apr-12	16:19:44	1331	675	6744	H	p-	0.3942	1.0149	29N	71W	67	55	01m17s
29	-5	2563-Apr-24	00:08:29	1413	712	6967	T	p-	0.3473	1.0214	31N	173E	70	77	01m49s
30	-4	2581-May-04	07:51:48	1497	750	7190	T	n-	0.2950	1.0276	32N	60E	73	98	02m22s
31	-3	2599-May-15	15:28:41	1585	788	7413	T	n-	0.2369	1.0337	32N	52W	76	117	02m56s
32	-2	2617-May-26	23:01:02	1674	828	7636	T	n-	0.1740	1.0394	31N	162W	80	134	03m30s
33	-1	2635-Jun-07	06:28:19	1767	868	7859	T	nn	0.1062	1.0447	29N	89E	84	150	04m04s
34	0	2653-Jun-17	13:53:02	1862	909	8082	T	nn	0.0355	1.0494	25N	20W	88	164	04m37s
35	1	2671-Jun-28	21:15:27	1959	950	8305	T	nn	-0.0375	1.0534	21N	129W	88	177	05m07s
36	2	2689-Jul-09	04:36:28	2059	993	8528	Tm	nn	-0.1124	1.0568	16N	121E	84	188	05m31s
37	3	2707-Jul-21	11:58:07	2162	1036	8751	T	nn	-0.1871	1.0593	10N	10E	79	199	05m48s
38	4	2725-Jul-31	19:21:11	2267	1080	8974	T	-n	-0.2612	1.0612	3N	101W	75	208	05m57s
39	5	2743-Aug-12	02:47:37	2375	1125	9197	T	-n	-0.3330	1.0623	4S	146E	71	216	05m56s
40	6	2761-Aug-22	10:17:08	2485	1171	9420	T	-n	-0.4026	1.0625	12S	31E	66	223	05m47s

Catalog of Solar Eclipses of Saros 157
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	7	2779-Sep-02	17:52:22	2598	1217	9643	T	-p	-0.4677	1.0622	19S	85W	62	230	05m31s
42	8	2797-Sep-13	01:33:02	2714	1264	9866	T	-p	-0.5287	1.0611	27S	157E	58	235	05m11s
43	9	2815-Sep-24	09:20:23	2832	1311	10089	T	-p	-0.5845	1.0596	35S	37E	54	240	04m48s
44	10	2833-Oct-04	17:14:51	2952	1360	10312	T	-p	-0.6348	1.0576	42S	84W	50	244	04m23s
45	11	2851-Oct-16	01:17:23	3076	1409	10535	T	-p	-0.6787	1.0553	50S	153E	47	248	04m00s
46	12	2869-Oct-26	09:28:02	3201	1459	10758	T	-p	-0.7161	1.0528	57S	29E	44	250	03m38s
47	13	2887-Nov-06	17:45:28	3330	1510	10981	T	-p	-0.7480	1.0502	63S	96W	41	252	03m18s
48	14	2905-Nov-18	02:11:31	3461	1561	11204	T	-p	-0.7732	1.0477	69S	140E	39	252	03m01s
49	15	2923-Nov-29	10:43:48	3594	1613	11427	T	-p	-0.7937	1.0454	74S	19E	37	251	02m47s
50	16	2941-Dec-09	19:23:09	3730	1666	11650	T	-p	-0.8084	1.0434	77S	96W	36	248	02m36s
51	17	2959-Dec-21	04:06:00	3869	1720	11873	T	-p	-0.8203	1.0417	78S	154E	35	246	02m28s
52	18	2977-Dec-31	12:54:27	4010	1774	12096	T	-p	-0.8279	1.0405	76S	40E	34	244	02m23s
53	19	2996-Jan-11	21:44:33	4154	1829	12319	T	-p	-0.8346	1.0397	73S	82W	33	243	02m20s
54	20	3014-Jan-23	06:36:35	4300	1885	12542	T	-p	-0.8398	1.0394	69S	149E	33	244	02m20s
55	21	3032-Feb-03	15:27:35	4449	1941	12765	T	-p	-0.8462	1.0395	65S	18E	32	248	02m22s
56	22	3050-Feb-14	00:17:48	4601	1998	12988	T	-p	-0.8534	1.0400	61S	114W	31	255	02m26s
57	23	3068-Feb-25	09:03:51	4755	2056	13211	T	-p	-0.8642	1.0407	58S	114E	30	268	02m31s
58	24	3086-Mar-07	17:45:53	4912	2115	13434	T	-p	-0.8785	1.0416	55S	18W	28	287	02m38s
59	25	3104-Mar-19	02:21:57	5071	2174	13657	T	-p	-0.8980	1.0426	53S	147W	26	318	02m44s
60	26	3122-Mar-30	10:52:30	5233	2234	13880	T	-t	-0.9222	1.0433	52S	85E	22	369	02m50s
61	27	3140-Apr-09	19:14:17	5397	2295	14103	T	-t	-0.9535	1.0436	53S	38W	17	481	02m51s
62	28	3158-Apr-21	03:29:30	5564	2356	14326	Ts	-t	-0.9900	1.0421	58S	154W	7	-	02m39s
63	29	3176-May-01	11:35:49	5734	2418	14549	P	-t	-1.0338	0.9513	62S	88E	0	-	-
64	30	3194-May-12	19:35:58	5906	2481	14772	P	-t	-1.0826	0.8586	63S	40W	0	-	-
65	31	3212-May-23	03:26:22	6080	2545	14995	P	-t	-1.1390	0.7512	64S	167W	0	-	-
66	32	3230-Jun-03	11:12:00	6258	2609	15218	P	-t	-1.1989	0.6366	65S	68E	0	-	-
67	33	3248-Jun-13	18:49:36	6437	2674	15441	P	-t	-1.2646	0.5108	66S	55W	0	-	-
68	34	3266-Jun-25	02:23:37	6620	2740	15664	P	-t	-1.3330	0.3800	67S	178W	0	-	-
69	35	3284-Jul-05	09:51:08	6805	2806	15887	P	-t	-1.4061	0.2404	68S	60E	0	-	-
70	36	3302-Jul-17	17:17:11	6992	2873	16110	Pe	-t	-1.4798	0.1002	69S	62W	0	-	-

Statistics for Solar Eclipses of Saros 157

Solar eclipses of Saros 157 all occur at the Moon’s ascending node and the Moon moves southward with each eclipse. The series will begin with a partial eclipse in the northern hemisphere on 2058 Jun 21. The series will end with a partial eclipse in the southern hemisphere on 3302 Jul 17. The total duration of Saros series 157 is 1244.08 years.

Summary of Saros 157

First Eclipse	2058 Jun 21
Last Eclipse	3302 Jul 17
Series Duration	1244.08 Years
No. of Eclipses	70
Sequence	6P 19A 3H 34T 8P

Saros 157 is composed of 70 solar eclipses as follows:

Solar Eclipses of Saros 157
Eclipse Type	Symbol	Number	Percent
All Eclipses	-	70	100.0%
Partial	P	14	20.0%
Annular	A	19	27.1%
Total	T	34	48.6%
Hybrid	H	3	4.3%

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 157 appears in the following table.

Umbral Eclipses of Saros 157
Classification	Number	Percent
All Umbral Eclipses	56	100.0%
Central (two limits)	54	96.4%
Central (one limit)	2	3.6%
Non-Central (one limit)	0	0.0%

The 70 eclipses in Saros 157 occur in the following order : 6P 19A 3H 34T 8P

The longest and shortest central eclipses of Saros 157 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 157
Extrema Type	Date	Duration	Magnitude
Longest Annular Solar Eclipse	2310 Nov 22	04m16s	-
Shortest Annular Solar Eclipse	2491 Mar 10	00m20s	-
Longest Total Solar Eclipse	2725 Jul 31	05m57s	-
Shortest Total Solar Eclipse	2563 Apr 24	01m49s	-
Longest Hybrid Solar Eclipse	2545 Apr 12	01m17s	-
Shortest Hybrid Solar Eclipse	2509 Mar 22	00m12s	-
Largest Partial Solar Eclipse	3176 May 01	-	0.95128
Smallest Partial Solar Eclipse	3302 Jul 17	-	0.10022

Panorama of Solar Eclipses of Saros 157

Catalog of Saros Series of Solar Eclipses

Links to Additional Solar Eclipse Predictions

Home - home page of EclipseWise with predictions for both solar and lunar eclipses

Solar Eclipses - primary page for solar eclipse predictions
Solar Eclipse Links - detailed directory of links
Solar Eclipse Basics - a primer on solar eclipses

Catalog of Solar Eclipse Saros Series - covers Saros series -30 through 190
Six Millennium Catalog of Solar Eclipses - from -2999 to +3000 (3000 BCE to 3000 CE)
World Atlas of Solar Eclipse Maps - index page for world eclipse maps covering 5 millennia
Javascript Solar Eclipse Explorer - calculate all solar eclipses visible from a city

Thousand Year Canon of Solar Eclipses 1501 to 2500 - link to the publication

MrEclipse.com - eclipse resources and tips on photography
Solar Eclipses for Beginners - a primer on solar eclipse basics
How to Photograph a Solar Eclipse - instructions for imaging an eclipse of the Sun
MrEclipse Photo Index - an index of solar eclipse photographs

Eclipse Publications

by Fred Espenak

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:

pre-1950's: ΔT calculated from empirical fits to historical records derived by Morrison and Stephenson (2004)
1955-present: ΔT obtained from published observations
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 eclipse data when accompanied by a link to this page and 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.