Saros 167

Catalog of Solar Eclipses of Saros 167

Fred Espenak

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 167

The table below lists the concise characteristics of every solar eclipse belonging to Saros 167 . 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 167
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
1-37 2203-Sep-0614:50:22 262 132 2519 Pb t- 1.5374 0.0068 72N 69E 0 - -
2-36 2221-Sep-1622:25:14 296 152 2742 P t- 1.4775 0.1171 72N 59W 0 - -
3-35 2239-Sep-2806:09:01 331 174 2965 P t- 1.4238 0.2160 72N 171E 0 - -
4-34 2257-Oct-0814:01:32 370 196 3188 P t- 1.3765 0.3035 72N 39E 0 - -
5-33 2275-Oct-1922:03:11 411 219 3411 P t- 1.3358 0.3787 71N 95W 0 - -
6-32 2293-Oct-3006:13:44 455 244 3634 P t- 1.3017 0.4417 71N 129E 0 - -
7-31 2311-Nov-1114:33:19 501 269 3857 P t- 1.2745 0.4920 70N 8W 0 - -
8-30 2329-Nov-2122:59:19 549 295 4080 P t- 1.2521 0.5334 69N 147W 0 - -
9-29 2347-Dec-0307:33:32 601 322 4303 P t- 1.2358 0.5635 68N 74E 0 - -
10-28 2365-Dec-1316:12:41 655 350 4526 P t- 1.2230 0.5873 67N 67W 0 - -
11-27 2383-Dec-2500:57:03 711 379 4749 P t- 1.2143 0.6034 66N 152E 0 - -
12-26 2402-Jan-0409:42:27 770 409 4972 P t- 1.2063 0.6185 65N 11E 0 - -
13-25 2420-Jan-1518:30:38 832 439 5195 P t- 1.2003 0.6299 64N 130W 0 - -
14-24 2438-Jan-2603:17:36 896 471 5418 P t- 1.1929 0.6442 63N 89E 0 - -
15-23 2456-Feb-0612:03:14 963 503 5641 P t- 1.1842 0.6608 62N 51W 0 - -
16-22 2474-Feb-1620:44:51 1032 536 5864 P t- 1.1720 0.6842 62N 170E 0 - -
17-21 2492-Feb-2805:22:52 1104 570 6087 P t- 1.1567 0.7136 61N 32E 0 - -
18-20 2510-Mar-1113:54:43 1178 605 6310 P t- 1.1361 0.7532 61N 105W 0 - -
19-19 2528-Mar-2122:20:27 1255 640 6533 P t- 1.1103 0.8031 61N 121E 0 - -
20-18 2546-Apr-0206:39:21 1335 677 6756 P t- 1.0784 0.8649 61N 12W 0 - -
21-17 2564-Apr-1214:51:40 1417 714 6979 P t- 1.0411 0.9374 61N 144W 0 - -
22-16 2582-Apr-2322:55:54 1502 752 7202 Tn t- 0.9969 1.0462 63N 90E 2 - 02m17s
23-15 2600-May-0506:53:51 1589 790 7425 T t- 0.9473 1.0552 68N 1E 18 57902m57s
24-14 2618-May-1614:44:45 1679 830 7648 T t- 0.8918 1.0612 71N 99W 27 44703m24s
25-13 2636-May-2622:30:51 1772 870 7871 T p- 0.8321 1.0661 72N 164E 33 39103m48s
26-12 2654-Jun-0706:09:47 1867 911 8094 T p- 0.7664 1.0703 71N 69E 40 35804m12s
27-11 2672-Jun-1713:46:14 1965 953 8317 T p- 0.6986 1.0735 67N 30W 45 33504m36s
28-10 2690-Jun-2821:18:05 2065 995 8540 T p- 0.6272 1.0759 62N 133W 51 31705m00s
29 -9 2708-Jul-1004:49:13 2168 1039 8763 T p- 0.5550 1.0774 56N 121E 56 30205m22s
30 -8 2726-Jul-2112:17:46 2273 1083 8986 T p- 0.4807 1.0780 49N 11E 61 28805m43s
31 -7 2744-Jul-3119:48:22 2381 1127 9209 T p- 0.4081 1.0778 42N 100W 66 27605m59s
32 -6 2762-Aug-1203:19:38 2491 1173 9432 T n- 0.3365 1.0766 34N 147E 70 26306m11s
33 -5 2780-Aug-2210:53:31 2604 1219 9655 T n- 0.2671 1.0747 26N 33E 74 25106m16s
34 -4 2798-Sep-0218:30:48 2720 1266 9878 T n- 0.2008 1.0719 19N 83W 78 23806m14s
35 -3 2816-Sep-1302:13:10 2838 1314 10101 T nn 0.1389 1.0686 11N 160E 82 22606m06s
36 -2 2834-Sep-2410:01:18 2959 1363 10324 T nn 0.0822 1.0647 4N 42E 85 21205m51s
37 -1 2852-Oct-0417:54:40 3082 1412 10547 Tm nn 0.0304 1.0604 3S 78W 88 19805m31s
38 0 2870-Oct-1601:55:37 3208 1462 10770 T nn -0.0148 1.0557 10S 161E 89 18405m07s
39 1 2888-Oct-2610:03:04 3337 1513 10993 T nn -0.0542 1.0509 16S 38E 87 16904m42s
40 2 2906-Nov-0718:17:58 3468 1564 11216 T -n -0.0870 1.0461 21S 85W 85 15404m15s
Catalog of Solar Eclipses of Saros 167
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 3 2924-Nov-1802:38:39 3602 1616 11439 T -n -0.1144 1.0413 26S 150E 83 13903m47s
42 4 2942-Nov-2911:06:43 3738 1669 11662 T -n -0.1354 1.0367 29S 25E 82 12403m21s
43 5 2960-Dec-0919:39:34 3877 1723 11885 T -n -0.1518 1.0323 32S 101W 81 11102m57s
44 6 2978-Dec-2104:17:14 4018 1777 12108 T -n -0.1640 1.0284 33S 133E 80 9802m34s
45 7 2996-Dec-3112:58:12 4162 1832 12331 T -n -0.1730 1.0249 33S 5E 80 8602m14s
46 8 3015-Jan-1221:42:24 4308 1888 12554 T -n -0.1792 1.0218 32S 123W 80 7601m57s
47 9 3033-Jan-2306:26:22 4457 1944 12777 T -n -0.1851 1.0193 30S 108E 79 6701m43s
48 10 3051-Feb-0315:09:42 4609 2001 13000 H3 -n -0.1911 1.0172 27S 21W 79 6001m32s
49 11 3069-Feb-1323:50:17 4763 2059 13223 H -n -0.1991 1.0157 24S 149W 78 5501m23s
50 12 3087-Feb-2508:28:15 4920 2118 13446 H -n -0.2092 1.0145 20S 82E 78 5101m17s
51 13 3105-Mar-0816:59:08 5080 2177 13669 H -n -0.2246 1.0137 16S 45W 77 4801m13s
52 14 3123-Mar-2001:25:05 5242 2237 13892 H -n -0.2437 1.0131 13S 171W 76 4601m11s
53 15 3141-Mar-3009:42:03 5406 2298 14115 H -n -0.2696 1.0127 10S 66E 74 4501m10s
54 16 3159-Apr-1017:52:25 5573 2360 14338 H -n -0.3006 1.0124 8S 56W 72 4401m10s
55 17 3177-Apr-2101:51:36 5743 2422 14561 H -p -0.3402 1.0120 6S 176W 70 4401m09s
56 18 3195-May-0209:44:04 5915 2485 14784 H -p -0.3848 1.0115 6S 67E 67 4201m09s
57 19 3213-May-1217:25:40 6090 2548 15007 H -p -0.4373 1.0106 6S 48W 64 4001m06s
58 20 3231-May-2400:59:53 6267 2612 15230 H -p -0.4954 1.0095 8S 161W 60 3701m01s
59 21 3249-Jun-0308:24:21 6447 2677 15453 H -p -0.5605 1.0078 11S 88E 56 3200m51s
60 22 3267-Jun-1415:42:59 6630 2743 15676 H -p -0.6296 1.0056 16S 22W 51 2500m37s
61 23 3285-Jun-2422:53:59 6815 2809 15899 H -p -0.7040 1.0027 22S 131W 45 1300m18s
62 24 3303-Jul-0705:59:33 7003 2877 16122 A -p -0.7820 0.9990 29S 120E 38 500m06s
63 25 3321-Jul-1713:00:48 7193 2944 16345 A -t -0.8622 0.9944 39S 12E 30 3900m33s
64 26 3339-Jul-2819:59:21 7386 3013 16568 A -t -0.9435 0.9883 52S 100W 19 12601m01s
65 27 3357-Aug-0802:56:04 7581 3082 16791 P -t -1.0254 0.9389 70S 132E 0 - -
66 28 3375-Aug-1909:52:17 7779 3152 17014 P -t -1.1065 0.7923 71S 16E 0 - -
67 29 3393-Aug-2916:49:59 7980 3222 17237 P -t -1.1852 0.6510 72S 101W 0 - -
68 30 3411-Sep-1023:49:59 8183 3294 17460 P -t -1.2606 0.5168 72S 141E 0 - -
69 31 3429-Sep-2106:52:24 8388 3365 17683 P -t -1.3329 0.3894 72S 22E 0 - -
70 32 3447-Oct-0214:00:05 8597 3438 17906 P -t -1.3998 0.2728 72S 98W 0 - -
71 33 3465-Oct-1221:12:59 8807 3511 18129 P -t -1.4615 0.1665 72S 140E 0 - -
72 34 3483-Oct-2404:32:59 9021 3585 18352 Pe -t -1.5163 0.0735 71S 18E 0 - -

Statistics for Solar Eclipses of Saros 167

Solar eclipses of Saros 167 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 2203 Sep 06. The series will end with a partial eclipse in the southern hemisphere on 3483 Oct 24. The total duration of Saros series 167 is 1280.14 years.

Summary of Saros 167
First Eclipse 2203 Sep 06
Last Eclipse 3483 Oct 24
Series Duration 1280.14 Years
No. of Eclipses 72
Sequence 21P 26T 14H 3A 8P

Saros 167 is composed of 72 solar eclipses as follows:

Solar Eclipses of Saros 167
Eclipse Type Symbol Number Percent
All Eclipses - 72100.0%
PartialP 29 40.3%
AnnularA 3 4.2%
TotalT 26 36.1%
HybridH 14 19.4%

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 167 appears in the following table.

Umbral Eclipses of Saros 167
Classification Number Percent
All Umbral Eclipses 43100.0%
Central (two limits) 42 97.7%
Central (one limit) 1 2.3%
Non-Central (one limit) 0 0.0%

The 72 eclipses in Saros 167 occur in the following order : 21P 26T 14H 3A 8P

The longest and shortest central eclipses of Saros 167 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 167
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 3339 Jul 2801m01s -
Shortest Annular Solar Eclipse 3303 Jul 0700m06s -
Longest Total Solar Eclipse 2780 Aug 2206m16s -
Shortest Total Solar Eclipse 3033 Jan 2301m43s -
Longest Hybrid Solar Eclipse 3051 Feb 0301m32s -
Shortest Hybrid Solar Eclipse 3285 Jun 2400m18s -
Largest Partial Solar Eclipse 3357 Aug 08 - 0.93894
Smallest Partial Solar Eclipse 2203 Sep 06 - 0.00682

Eclipse Publications

by Fred Espenak

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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 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.