Saros 164

Catalog of Solar Eclipses of Saros 164

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 164

The table below lists the concise characteristics of every solar eclipse belonging to Saros 164 . 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 164
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
1-46 2098-Oct-2410:36:11 120 37 1222 Pb t- -1.5407 0.0057 62S 96W 0 - -
2-45 2116-Nov-0418:50:09 138 50 1445 P t- -1.5102 0.0613 62S 132E 0 - -
3-44 2134-Nov-1603:12:08 159 65 1668 P t- -1.4857 0.1060 63S 3W 0 - -
4-43 2152-Nov-2611:41:08 182 81 1891 P t- -1.4665 0.1409 64S 139W 0 - -
5-42 2170-Dec-0720:17:07 208 98 2114 P t- -1.4530 0.1654 65S 82E 0 - -
6-41 2188-Dec-1804:56:59 237 116 2337 P t- -1.4420 0.1850 66S 57W 0 - -
7-40 2206-Dec-3013:40:30 268 136 2560 P t- -1.4337 0.1997 67S 162E 0 - -
8-39 2225-Jan-0922:25:24 302 156 2783 P t- -1.4263 0.2126 68S 20E 0 - -
9-38 2243-Jan-2107:11:45 338 178 3006 P t- -1.4197 0.2239 69S 123W 0 - -
10-37 2261-Jan-3115:55:00 377 200 3229 P t- -1.4106 0.2398 70S 94E 0 - -
11-36 2279-Feb-1200:37:05 419 224 3452 P t- -1.4003 0.2581 71S 49W 0 - -
12-35 2297-Feb-2209:13:30 463 248 3675 P t- -1.3851 0.2854 71S 168E 0 - -
13-34 2315-Mar-0617:46:19 509 274 3898 P t- -1.3668 0.3188 72S 27E 0 - -
14-33 2333-Mar-1702:10:52 559 300 4121 P t- -1.3417 0.3652 72S 114W 0 - -
15-32 2351-Mar-2810:30:56 610 327 4344 P t- -1.3126 0.4196 72S 107E 0 - -
16-31 2369-Apr-0718:42:10 665 355 4567 P t- -1.2763 0.4881 72S 29W 0 - -
17-30 2387-Apr-1902:47:05 722 384 4790 P t- -1.2345 0.5678 71S 164W 0 - -
18-29 2405-Apr-2910:43:54 781 414 5013 P t- -1.1858 0.6614 71S 64E 0 - -
19-28 2423-May-1018:35:16 843 445 5236 P t- -1.1323 0.7648 70S 66W 0 - -
20-27 2441-May-2102:20:10 908 477 5459 P t- -1.0733 0.8796 69S 166E 0 - -
21-26 2459-Jun-0109:59:48 975 509 5682 T- t- -1.0096 1.0039 68S 40E 0 - -
22-25 2477-Jun-1117:35:27 1045 542 5905 T t- -0.9422 1.0647 48S 82W 19 64204m53s
23-24 2495-Jun-2301:08:04 1117 576 6128 T t- -0.8717 1.0696 37S 161E 29 46405m39s
24-23 2513-Jul-0408:38:15 1192 611 6351 T p- -0.7991 1.0729 30S 47E 37 39206m09s
25-22 2531-Jul-1516:07:31 1270 647 6574 T p- -0.7255 1.0750 24S 67W 43 35106m25s
26-21 2549-Jul-2523:37:24 1350 683 6797 T p- -0.6522 1.0761 19S 180W 49 32206m30s
27-20 2567-Aug-0607:09:07 1433 721 7020 T p- -0.5801 1.0762 17S 67E 54 29906m26s
28-19 2585-Aug-1614:42:31 1518 759 7243 T p- -0.5094 1.0753 15S 46W 59 28106m16s
29-18 2603-Aug-2822:20:23 1606 797 7466 T p- -0.4425 1.0737 14S 160W 64 26406m02s
30-17 2621-Sep-0806:02:17 1696 837 7689 T n- -0.3792 1.0713 14S 85E 68 24905m45s
31-16 2639-Sep-1913:50:21 1789 877 7912 T n- -0.3212 1.0683 15S 31W 71 23405m28s
32-15 2657-Sep-2921:43:05 1885 919 8135 T n- -0.2675 1.0647 16S 148W 74 21905m11s
33-14 2675-Oct-1105:43:45 1983 961 8358 T n- -0.2206 1.0608 18S 93E 77 20404m54s
34-13 2693-Oct-2113:50:33 2083 1003 8581 T n- -0.1792 1.0566 20S 28W 80 18904m37s
35-12 2711-Nov-0222:04:59 2187 1047 8804 T n- -0.1447 1.0523 22S 150W 82 17504m21s
36-11 2729-Nov-1306:26:07 2292 1091 9027 T n- -0.1161 1.0480 24S 86E 83 16104m05s
37-10 2747-Nov-2414:54:26 2401 1136 9250 T nn -0.0939 1.0438 26S 39W 84 14703m49s
38 -9 2765-Dec-0423:28:43 2512 1181 9473 T nn -0.0771 1.0398 27S 166W 85 13403m33s
39 -8 2783-Dec-1608:07:05 2625 1228 9696 T nn -0.0639 1.0362 27S 67E 86 12203m18s
40 -7 2801-Dec-2616:50:33 2742 1275 9919 T nn -0.0554 1.0328 27S 62W 87 11103m04s
Catalog of Solar Eclipses of Saros 164
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 2820-Jan-0701:36:07 2860 1323 10142 Tm nn -0.0494 1.0300 25S 169E 87 10202m51s
42 -5 2838-Jan-1710:23:32 2981 1372 10365 T nn -0.0449 1.0277 23S 39E 87 9402m39s
43 -4 2856-Jan-2819:09:04 3105 1421 10588 T nn -0.0394 1.0258 20S 91W 88 8802m30s
44 -3 2874-Feb-0803:54:06 3232 1471 10811 T nn -0.0339 1.0244 17S 138E 88 8302m23s
45 -2 2892-Feb-1912:34:46 3361 1522 11034 T nn -0.0254 1.0234 13S 9E 88 8002m18s
46 -1 2910-Mar-0221:10:40 3492 1574 11257 T nn -0.0135 1.0228 8S 120W 89 7802m15s
47 0 2928-Mar-1305:39:48 3626 1626 11480 T nn 0.0035 1.0225 3S 112E 90 7702m13s
48 1 2946-Mar-2414:02:18 3763 1679 11703 T nn 0.0256 1.0224 3N 14W 89 7602m13s
49 2 2964-Apr-0322:16:14 3902 1733 11926 T nn 0.0541 1.0224 9N 138W 87 7602m13s
50 3 2982-Apr-1506:21:34 4044 1787 12149 T nn 0.0892 1.0223 15N 100E 85 7602m13s
51 4 3000-Apr-2614:18:00 4189 1842 12372 T -n 0.1311 1.0222 21N 19W 82 7602m11s
52 5 3018-May-0722:06:12 4336 1898 12595 T -n 0.1793 1.0218 27N 136W 80 7502m06s
53 6 3036-May-1805:44:31 4485 1955 12818 T -n 0.2351 1.0211 33N 110E 76 7402m00s
54 7 3054-May-2913:15:53 4637 2012 13041 T -n 0.2962 1.0199 39N 1W 73 7101m50s
55 8 3072-Jun-0820:38:47 4792 2070 13264 T -p 0.3637 1.0183 44N 109W 68 6701m37s
56 9 3090-Jun-2003:56:47 4949 2129 13487 T -p 0.4345 1.0161 49N 146E 64 6101m22s
57 10 3108-Jul-0111:06:57 5109 2188 13710 H -p 0.5110 1.0132 53N 45E 59 5301m05s
58 11 3126-Jul-1218:14:44 5272 2249 13933 H -p 0.5887 1.0097 56N 54W 54 4100m45s
59 12 3144-Jul-2301:17:18 5437 2309 14156 H -p 0.6699 1.0054 58N 151W 48 2500m24s
60 13 3162-Aug-0308:19:25 5604 2371 14379 H -p 0.7504 1.0004 60N 114E 41 200m02s
61 14 3180-Aug-1315:18:52 5774 2433 14602 A -t 0.8319 0.9946 61N 21E 33 3400m23s
62 15 3198-Aug-2422:21:01 5947 2496 14825 A -t 0.9102 0.9878 61N 71W 24 10300m50s
63 16 3216-Sep-0405:23:41 6122 2560 15048 A -t 0.9869 0.9786 62N 150W 8 51601m21s
64 17 3234-Sep-1512:30:12 6300 2624 15271 P -t 1.0595 0.8752 61N 112E 0 - -
65 18 3252-Sep-2519:40:12 6481 2689 15494 P -t 1.1280 0.7521 61N 3W 0 - -
66 19 3270-Oct-0702:56:20 6664 2755 15717 P -t 1.1902 0.6412 61N 120W 0 - -
67 20 3288-Oct-1710:18:09 6849 2822 15940 P -t 1.2471 0.5410 62N 122E 0 - -
68 21 3306-Oct-2917:46:20 7037 2889 16163 P -t 1.2978 0.4525 62N 2E 0 - -
69 22 3324-Nov-0901:21:47 7228 2957 16386 P -t 1.3419 0.3766 63N 120W 0 - -
70 23 3342-Nov-2009:04:21 7421 3025 16609 P -t 1.3793 0.3129 63N 116E 0 - -
71 24 3360-Nov-3016:53:34 7617 3095 16832 P -t 1.4104 0.2604 64N 10W 0 - -
72 25 3378-Dec-1200:49:18 7816 3165 17055 P -t 1.4357 0.2185 65N 138W 0 - -
73 26 3396-Dec-2208:50:12 8017 3235 17278 P -t 1.4561 0.1849 66N 93E 0 - -
74 27 3415-Jan-0316:55:45 8220 3307 17501 P -t 1.4721 0.1590 67N 38W 0 - -
75 28 3433-Jan-1401:02:51 8426 3379 17724 P -t 1.4862 0.1362 68N 170W 0 - -
76 29 3451-Jan-2509:12:34 8635 3452 17947 P -t 1.4975 0.1181 69N 57E 0 - -
77 30 3469-Feb-0417:21:14 8846 3525 18170 P -t 1.5085 0.1001 70N 77W 0 - -
78 31 3487-Feb-1601:28:38 9060 3599 18393 P -t 1.5203 0.0807 71N 149E 0 - -
79 32 3505-Feb-2709:31:07 9277 3674 18616 P -t 1.5354 0.0556 72N 16E 0 - -
80 33 3523-Mar-1017:29:47 9496 3749 18839 Pe -t 1.5529 0.0262 72N 117W 0 - -

Statistics for Solar Eclipses of Saros 164

Solar eclipses of Saros 164 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series will begin with a partial eclipse in the southern hemisphere on 2098 Oct 24. The series will end with a partial eclipse in the northern hemisphere on 3523 Mar 10. The total duration of Saros series 164 is 1424.38 years.

Summary of Saros 164
First Eclipse 2098 Oct 24
Last Eclipse 3523 Mar 10
Series Duration 1424.38 Years
No. of Eclipses 80
Sequence 20P 36T 4H 3A 17P

Saros 164 is composed of 80 solar eclipses as follows:

Solar Eclipses of Saros 164
Eclipse Type Symbol Number Percent
All Eclipses - 80100.0%
PartialP 37 46.2%
AnnularA 3 3.8%
TotalT 36 45.0%
HybridH 4 5.0%

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 164 appears in the following table.

Umbral Eclipses of Saros 164
Classification Number Percent
All Umbral Eclipses 43100.0%
Central (two limits) 42 97.7%
Central (one limit) 0 0.0%
Non-Central (one limit) 1 2.3%

The 80 eclipses in Saros 164 occur in the following order : 20P 36T 4H 3A 17P

The longest and shortest central eclipses of Saros 164 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 164
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 3216 Sep 0401m21s -
Shortest Annular Solar Eclipse 3180 Aug 1300m23s -
Longest Total Solar Eclipse 2549 Jul 2506m30s -
Shortest Total Solar Eclipse 3090 Jun 2001m22s -
Longest Hybrid Solar Eclipse 3108 Jul 0101m05s -
Shortest Hybrid Solar Eclipse 3162 Aug 0300m02s -
Largest Partial Solar Eclipse 2441 May 21 - 0.87957
Smallest Partial Solar Eclipse 2098 Oct 24 - 0.00568

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.