Saros 158

Catalog of Solar Eclipses of Saros 158

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 158

The table below lists the concise characteristics of every solar eclipse belonging to Saros 158 . 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 158
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
1-36 2069-May-2017:53:18 95 18 858 Pb t- -1.4852 0.0879 69S 70W 0 - -
2-35 2087-Jun-0101:27:14 109 29 1081 P t- -1.4186 0.2146 68S 165E 0 - -
3-34 2105-Jun-1208:58:11 126 42 1304 P t- -1.3489 0.3483 67S 42E 0 - -
4-33 2123-Jun-2316:26:12 145 55 1527 P t- -1.2763 0.4883 66S 81W 0 - -
5-32 2141-Jul-0323:53:38 167 71 1750 P t- -1.2029 0.6305 65S 157E 0 - -
6-31 2159-Jul-1507:20:50 192 87 1973 P t- -1.1288 0.7743 64S 36E 0 - -
7-30 2177-Jul-2514:50:33 219 105 2196 P t- -1.0564 0.9150 63S 86W 0 - -
8-29 2195-Aug-0522:21:03 248 123 2419 Ts t- -0.9843 1.0618 56S 166E 9 - 04m03s
9-28 2213-Aug-1705:56:32 280 143 2642 T t- -0.9161 1.0653 46S 59E 23 52504m35s
10-27 2231-Aug-2813:35:31 315 164 2865 T p- -0.8505 1.0661 41S 53W 31 40204m43s
11-26 2249-Sep-0721:21:29 352 186 3088 T p- -0.7906 1.0656 39S 168W 38 34304m42s
12-25 2267-Sep-1905:12:14 392 209 3311 T p- -0.7347 1.0642 39S 75E 42 30404m34s
13-24 2285-Sep-2913:11:37 435 233 3534 T p- -0.6859 1.0622 40S 44W 46 27504m24s
14-23 2303-Oct-1121:17:24 480 258 3757 T p- -0.6424 1.0596 41S 164W 50 25204m12s
15-22 2321-Oct-2205:31:17 527 283 3980 T p- -0.6059 1.0567 43S 74E 52 23304m00s
16-21 2339-Nov-0213:51:49 577 310 4203 T p- -0.5750 1.0536 46S 49W 55 21503m47s
17-20 2357-Nov-1222:20:22 630 338 4426 T p- -0.5514 1.0505 48S 174W 56 20003m35s
18-19 2375-Nov-2406:54:53 685 366 4649 T p- -0.5327 1.0474 51S 61E 58 18603m23s
19-18 2393-Dec-0415:34:34 743 395 4872 T p- -0.5188 1.0445 53S 64W 59 17403m13s
20-17 2411-Dec-1600:19:06 804 426 5095 T p- -0.5092 1.0419 54S 170E 59 16303m04s
21-16 2429-Dec-2609:07:19 867 457 5318 T n- -0.5035 1.0397 54S 44E 60 15502m57s
22-15 2448-Jan-0617:57:06 932 488 5541 T n- -0.4991 1.0380 53S 83W 60 14702m51s
23-14 2466-Jan-1702:47:00 1001 521 5764 T n- -0.4953 1.0366 50S 149E 60 14202m48s
24-13 2484-Jan-2811:35:52 1071 555 5987 T n- -0.4909 1.0358 47S 20E 60 13802m48s
25-12 2502-Feb-0820:22:28 1145 589 6210 T n- -0.4851 1.0354 43S 109W 61 13602m49s
26-11 2520-Feb-2005:04:04 1221 624 6433 T n- -0.4757 1.0353 39S 121E 61 13502m54s
27-10 2538-Mar-0213:41:08 1299 660 6656 T n- -0.4628 1.0357 34S 8W 62 13503m01s
28 -9 2556-Mar-1222:11:19 1380 697 6879 T n- -0.4446 1.0362 28S 136W 63 13503m10s
29 -8 2574-Mar-2406:34:19 1464 734 7102 T n- -0.4208 1.0371 22S 97E 65 13703m21s
30 -7 2592-Apr-0314:48:29 1550 773 7325 T n- -0.3901 1.0378 16S 28W 67 13703m32s
31 -6 2610-Apr-1522:55:05 1639 812 7548 T n- -0.3536 1.0387 10S 151W 69 13803m44s
32 -5 2628-Apr-2606:52:55 1730 852 7771 T n- -0.3104 1.0392 4S 88E 72 13803m53s
33 -4 2646-May-0714:41:43 1824 892 7994 T n- -0.2601 1.0396 2N 31W 75 13704m00s
34 -3 2664-May-1722:22:46 1920 934 8217 T nn -0.2040 1.0395 8N 147W 78 13504m02s
35 -2 2682-May-2905:56:11 2019 976 8440 T nn -0.1418 1.0390 14N 100E 82 13203m59s
36 -1 2700-Jun-0913:23:18 2121 1019 8663 Tm nn -0.0752 1.0379 19N 12W 86 12803m49s
37 0 2718-Jun-2020:43:12 2225 1063 8886 T nn -0.0033 1.0362 23N 121W 90 12203m34s
38 1 2736-Jul-0103:59:42 2332 1107 9109 T nn 0.0708 1.0339 27N 132E 86 11403m15s
39 2 2754-Jul-1211:11:53 2441 1152 9332 T nn 0.1480 1.0309 30N 26E 81 10502m52s
40 3 2772-Jul-2218:22:11 2553 1198 9555 T -n 0.2260 1.0272 32N 78W 77 9502m27s
Catalog of Solar Eclipses of Saros 158
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 4 2790-Aug-0301:30:54 2668 1245 9778 T -p 0.3045 1.0228 34N 178E 72 8102m00s
42 5 2808-Aug-1308:40:51 2785 1293 10001 T -p 0.3811 1.0178 35N 74E 67 6601m32s
43 6 2826-Aug-2415:52:11 2904 1341 10224 H -p 0.4558 1.0123 35N 31W 63 4701m03s
44 7 2844-Sep-0323:05:33 3027 1390 10447 H -p 0.5279 1.0063 34N 136W 58 2500m32s
45 8 2862-Sep-1506:23:04 3151 1439 10670 A -p 0.5957 0.9999 34N 117E 53 000m01s
46 9 2880-Sep-2513:45:27 3279 1490 10893 A -p 0.6584 0.9932 34N 8E 49 3100m36s
47 10 2898-Oct-0621:13:36 3409 1541 11116 A -p 0.7154 0.9864 34N 103W 44 6701m13s
48 11 2916-Oct-1804:47:32 3541 1593 11339 A -p 0.7666 0.9795 35N 144E 40 11101m54s
49 12 2934-Oct-2912:28:38 3676 1645 11562 A -p 0.8112 0.9727 36N 29E 36 16302m35s
50 13 2952-Nov-0820:16:35 3814 1699 11785 A -p 0.8490 0.9660 37N 89W 32 22703m18s
51 14 2970-Nov-2004:10:26 3954 1753 12008 A -p 0.8811 0.9597 39N 151E 28 30503m59s
52 15 2988-Nov-3012:11:05 4097 1807 12231 A -t 0.9067 0.9538 42N 29E 25 39804m38s
53 16 3006-Dec-1220:16:56 4242 1863 12454 A -t 0.9272 0.9484 44N 96W 22 50805m11s
54 17 3024-Dec-2304:28:09 4390 1919 12677 A -t 0.9427 0.9437 47N 138E 19 63205m37s
55 18 3043-Jan-0312:40:59 4541 1976 12900 A -t 0.9562 0.9395 51N 10E 16 78505m55s
56 19 3061-Jan-1320:57:24 4694 2033 13123 A -t 0.9659 0.9359 54N 120W 14 95206m05s
57 20 3079-Jan-2505:13:16 4850 2092 13346 A -t 0.9752 0.9330 58N 109E 12 118806m06s
58 21 3097-Feb-0413:28:34 5008 2151 13569 An -t 0.9847 0.9305 63N 23W 9 - 06m00s
59 22 3115-Feb-1621:39:21 5169 2210 13792 A+ -t 0.9971 0.9632 71N 170W 0 - -
60 23 3133-Feb-2705:47:01 5332 2271 14015 A+ -t 1.0116 0.9383 72N 55E 0 - -
61 24 3151-Mar-1013:47:42 5498 2332 14238 P -t 1.0309 0.9054 72N 78W 0 - -
62 25 3169-Mar-2021:41:20 5666 2394 14461 P -t 1.0553 0.8643 72N 150E 0 - -
63 26 3187-Apr-0105:26:01 5837 2456 14684 P -t 1.0862 0.8120 72N 20E 0 - -
64 27 3205-Apr-1113:02:33 6011 2520 14907 P -t 1.1233 0.7493 72N 108W 0 - -
65 28 3223-Apr-2220:28:37 6187 2584 15130 P -t 1.1680 0.6736 71N 128E 0 - -
66 29 3241-May-0303:45:33 6366 2648 15353 P -t 1.2194 0.5864 70N 7E 0 - -
67 30 3259-May-1410:52:50 6548 2714 15576 P -t 1.2779 0.4869 70N 112W 0 - -
68 31 3277-May-2417:52:18 6732 2780 15799 P -t 1.3419 0.3778 69N 133E 0 - -
69 32 3295-Jun-0500:41:56 6918 2846 16022 P -t 1.4131 0.2560 67N 20E 0 - -
70 33 3313-Jun-1607:26:09 7107 2914 16245 Pe -t 1.4879 0.1281 66N 91W 0 - -

Statistics for Solar Eclipses of Saros 158

Solar eclipses of Saros 158 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 2069 May 20. The series will end with a partial eclipse in the northern hemisphere on 3313 Jun 16. The total duration of Saros series 158 is 1244.08 years.

Summary of Saros 158
First Eclipse 2069 May 20
Last Eclipse 3313 Jun 16
Series Duration 1244.08 Years
No. of Eclipses 70
Sequence 7P 35T 2H 16A 10P

Saros 158 is composed of 70 solar eclipses as follows:

Solar Eclipses of Saros 158
Eclipse Type Symbol Number Percent
All Eclipses - 70100.0%
PartialP 17 24.3%
AnnularA 16 22.9%
TotalT 35 50.0%
HybridH 2 2.9%

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 158 appears in the following table.

Umbral Eclipses of Saros 158
Classification Number Percent
All Umbral Eclipses 53100.0%
Central (two limits) 49 92.5%
Central (one limit) 2 3.8%
Non-Central (one limit) 2 3.8%

The 70 eclipses in Saros 158 occur in the following order : 7P 35T 2H 16A 10P

The longest and shortest central eclipses of Saros 158 as well as largest and smallest partial eclipses appear below.

Extreme Durations and Magnitudes of Solar Eclipses of Saros 158
Extrema Type Date Duration Magnitude
Longest Annular Solar Eclipse 3079 Jan 2506m06s -
Shortest Annular Solar Eclipse 2862 Sep 1500m01s -
Longest Total Solar Eclipse 2231 Aug 2804m43s -
Shortest Total Solar Eclipse 2808 Aug 1301m32s -
Longest Hybrid Solar Eclipse 2826 Aug 2401m03s -
Shortest Hybrid Solar Eclipse 2844 Sep 0300m32s -
Largest Partial Solar Eclipse 2177 Jul 25 - 0.91496
Smallest Partial Solar Eclipse 2069 May 20 - 0.08791

Panorama of Solar Eclipses of Saros 158

Catalog of Saros Series of Solar Eclipses

Eclipse Publications

by Fred Espenak

jpeg jpeg
jpeg jpeg
jpeg jpeg

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.