Saros 86

Catalog of Solar Eclipses of Saros 86

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 86

The table below lists the concise characteristics of every solar eclipse belonging to Saros 86 . 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 86
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 -0069-Apr-0623:01:11 11228 285 -25587 Pb t- -1.5230 0.0605 72S 44W 0 - -
2-32 -0051-Apr-1705:50:41 11034 280 -25364 P t- -1.4575 0.1744 71S 161W 0 - -
3-31 -0033-Apr-2812:33:43 10848 275 -25141 P t- -1.3871 0.2968 71S 84E 0 - -
4-30 -0015-May-0819:09:23 10662 269 -24918 P t- -1.3110 0.4292 70S 28W 0 - -
5-29 0003-May-2001:41:14 10477 264 -24695 P t- -1.2321 0.5660 69S 139W 0 - -
6-28 0021-May-3008:07:36 10300 259 -24472 P t- -1.1489 0.7099 68S 112E 0 - -
7-27 0039-Jun-1014:34:03 10123 254 -24249 P t- -1.0657 0.8531 67S 3E 0 - -
8-26 0057-Jun-2020:59:01 9947 249 -24026 As t- -0.9811 0.9433 56S 101W 10 - 05m25s
9-25 0075-Jul-0203:26:32 9773 243 -23803 A p- -0.8986 0.9446 40S 159E 26 46706m10s
10-24 0093-Jul-1209:56:00 9600 238 -23580 A p- -0.8177 0.9437 31S 59E 35 35806m41s
11-23 0111-Jul-2316:31:39 9427 233 -23357 A p- -0.7416 0.9421 25S 42W 42 31407m03s
12-22 0129-Aug-0223:12:20 9255 229 -23134 A p- -0.6696 0.9398 21S 144W 48 29507m20s
13-21 0147-Aug-1405:59:52 9083 224 -22911 A p- -0.6029 0.9372 19S 114E 53 28607m31s
14-20 0165-Aug-2412:55:40 8911 219 -22688 A p- -0.5431 0.9343 18S 9E 57 28607m42s
15-19 0183-Sep-0420:00:14 8740 214 -22465 A p- -0.4905 0.9315 18S 98W 61 28907m51s
16-18 0201-Sep-1503:14:23 8568 210 -22242 A p- -0.4456 0.9286 20S 153E 63 29508m01s
17-17 0219-Sep-2610:36:37 8396 205 -22019 A p- -0.4072 0.9259 22S 41E 66 30108m13s
18-16 0237-Oct-0618:09:06 8224 200 -21796 A p- -0.3772 0.9234 25S 72W 68 30908m25s
19-15 0255-Oct-1801:48:48 8052 196 -21573 A p- -0.3531 0.9214 28S 172E 69 31508m37s
20-14 0273-Oct-2809:36:25 7880 191 -21350 A n- -0.3355 0.9197 31S 56E 70 32108m49s
21-13 0291-Nov-0817:29:33 7708 187 -21127 A n- -0.3222 0.9186 34S 62W 71 32509m00s
22-12 0309-Nov-1901:28:29 7535 182 -20904 A n- -0.3135 0.9181 37S 179E 72 32709m08s
23-11 0327-Nov-3009:29:43 7361 178 -20681 A n- -0.3065 0.9183 39S 61E 72 32609m12s
24-10 0345-Dec-1017:32:41 7187 174 -20458 A n- -0.3005 0.9191 41S 58W 72 32209m12s
25 -9 0363-Dec-2201:35:05 7011 170 -20235 A n- -0.2938 0.9207 41S 176W 73 31509m08s
26 -8 0382-Jan-0109:36:19 6833 165 -20012 A n- -0.2862 0.9228 40S 66E 73 30508m59s
27 -7 0400-Jan-1217:32:24 6656 161 -19789 A n- -0.2737 0.9257 38S 51W 74 29108m44s
28 -6 0418-Jan-2301:24:08 6476 157 -19566 A n- -0.2571 0.9291 34S 168W 75 27508m26s
29 -5 0436-Feb-0309:08:37 6297 153 -19343 A nn -0.2342 0.9332 30S 76E 76 25708m03s
30 -4 0454-Feb-1316:47:39 6119 149 -19120 A nn -0.2064 0.9375 24S 39W 78 23707m36s
31 -3 0472-Feb-2500:16:26 5943 145 -18897 A nn -0.1697 0.9424 18S 153W 80 21607m05s
32 -2 0490-Mar-0707:39:12 5767 141 -18674 A nn -0.1276 0.9474 12S 94E 83 19506m30s
33 -1 0508-Mar-1714:51:59 5591 138 -18451 A nn -0.0763 0.9525 5S 16W 86 17405m52s
34 0 0526-Mar-2821:59:19 5416 134 -18228 A nn -0.0201 0.9578 3N 126W 89 15405m11s
35 1 0544-Apr-0804:57:34 5240 130 -18005 A nn 0.0443 0.9629 10N 127E 87 13404m29s
36 2 0562-Apr-1911:52:21 5067 127 -17782 Am nn 0.1124 0.9678 18N 21E 83 11703m47s
37 3 0580-Apr-2918:41:00 4894 123 -17559 A nn 0.1865 0.9724 26N 84W 79 10103m08s
38 4 0598-May-1101:27:12 4722 119 -17336 A nn 0.2634 0.9766 34N 173E 75 8602m31s
39 5 0616-May-2108:10:33 4553 116 -17113 A -p 0.3437 0.9803 41N 72E 70 7401m59s
40 6 0634-Jun-0114:54:28 4385 112 -16890 A -p 0.4244 0.9836 48N 28W 65 6401m33s
Catalog of Solar Eclipses of Saros 86
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 0652-Jun-1121:39:01 4217 109 -16667 A -p 0.5056 0.9862 54N 126W 59 5601m13s
42 8 0670-Jun-2304:25:57 4052 106 -16444 A -p 0.5855 0.9883 59N 138E 54 5100m58s
43 9 0688-Jul-0311:17:08 3887 102 -16221 A -p 0.6630 0.9897 63N 44E 48 4900m48s
44 10 0706-Jul-1418:13:46 3725 99 -15998 A -p 0.7371 0.9905 65N 48W 42 5000m42s
45 11 0724-Jul-2501:16:42 3569 96 -15775 A -p 0.8065 0.9906 66N 142W 36 5600m39s
46 12 0742-Aug-0508:27:04 3413 93 -15552 A -p 0.8706 0.9901 66N 123E 29 7100m40s
47 13 0760-Aug-1515:46:14 3261 90 -15329 A -p 0.9283 0.9888 64N 25E 21 10600m43s
48 14 0778-Aug-2623:14:35 3112 87 -15106 A -p 0.9794 0.9864 63N 72W 11 24900m50s
49 15 0796-Sep-0606:51:41 2963 84 -14883 P -t 1.0241 0.9437 61N 172W 0 - -
50 16 0814-Sep-1714:39:18 2820 81 -14660 P -t 1.0610 0.8773 61N 61E 0 - -
51 17 0832-Sep-2722:36:34 2678 78 -14437 P -t 1.0907 0.8240 61N 67W 0 - -
52 18 0850-Oct-0906:43:49 2537 75 -14214 P -t 1.1132 0.7834 61N 162E 0 - -
53 19 0868-Oct-1914:59:02 2406 72 -13991 P -t 1.1301 0.7530 62N 29E 0 - -
54 20 0886-Oct-3023:23:03 2275 70 -13768 P -t 1.1407 0.7340 62N 107W 0 - -
55 21 0904-Nov-1007:53:31 2148 67 -13545 P -t 1.1470 0.7229 63N 116E 0 - -
56 22 0922-Nov-2116:29:18 2030 64 -13322 P -t 1.1495 0.7187 64N 23W 0 - -
57 23 0940-Dec-0201:08:58 1911 62 -13099 P -t 1.1497 0.7186 65N 163W 0 - -
58 24 0958-Dec-1309:50:46 1798 59 -12876 P -t 1.1487 0.7208 66N 56E 0 - -
59 25 0976-Dec-2318:33:11 1691 57 -12653 P -t 1.1480 0.7226 67N 85W 0 - -
60 26 0995-Jan-0403:13:37 1583 54 -12430 P -t 1.1495 0.7207 68N 134E 0 - -
61 27 1013-Jan-1411:52:15 1487 52 -12207 P -t 1.1530 0.7150 69N 8W 0 - -
62 28 1031-Jan-2520:26:10 1396 50 -11984 P -t 1.1606 0.7020 70N 149W 0 - -
63 29 1049-Feb-0504:54:45 1305 48 -11761 P -t 1.1732 0.6794 71N 71E 0 - -
64 30 1067-Feb-1613:16:34 1224 45 -11538 P -t 1.1919 0.6455 71N 68W 0 - -
65 31 1085-Feb-2621:32:08 1143 43 -11315 P -t 1.2161 0.6009 72N 154E 0 - -
66 32 1103-Mar-1005:40:48 1065 41 -11092 P -t 1.2465 0.5442 72N 17E 0 - -
67 33 1121-Mar-2013:41:25 997 39 -10869 P -t 1.2839 0.4737 72N 117W 0 - -
68 34 1139-Mar-3121:35:38 929 37 -10646 P -t 1.3271 0.3915 72N 110E 0 - -
69 35 1157-Apr-1105:22:57 865 35 -10423 P -t 1.3766 0.2965 71N 21W 0 - -
70 36 1175-Apr-2213:04:54 808 33 -10200 P -t 1.4308 0.1918 70N 149W 0 - -
71 37 1193-May-0220:41:02 751 31 -9977 Pe -t 1.4901 0.0767 70N 84E 0 - -

Statistics for Solar Eclipses of Saros 86

Solar eclipses of Saros 86 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series began with a partial eclipse in the southern hemisphere on -0069 Apr 06. The series ended with a partial eclipse in the northern hemisphere on 1193 May 02. The total duration of Saros series 86 is 1262.11 years.

Summary of Saros 86
First Eclipse -0069 Apr 06
Last Eclipse 1193 May 02
Series Duration 1262.11 Years
No. of Eclipses 71
Sequence 7P 41A 23P

Saros 86 is composed of 71 solar eclipses as follows:

Solar Eclipses of Saros 86
Eclipse Type Symbol Number Percent
All Eclipses - 71100.0%
PartialP 30 42.3%
AnnularA 41 57.7%
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 86 appears in the following table.

Umbral Eclipses of Saros 86
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 71 eclipses in Saros 86 occur in the following order : 7P 41A 23P

The longest and shortest central eclipses of Saros 86 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 86
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 0345 Dec 1009m12s -
Shortest Annular Solar Eclipse 0724 Jul 2500m39s -
Largest Partial Solar Eclipse 0796 Sep 06 - 0.94374
Smallest Partial Solar Eclipse -0069 Apr 06 - 0.06049

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.