Solar Eclipse Prime Page

Annular Solar Eclipse of 2168 Jan 10

Fred Espenak

Introduction

eclipse map

The Annular Solar Eclipse of 2168 Jan 10 is visible from the geographic regions shown on the map to the right. Click on the map to enlarge it. For an explanation of the features appearing in the map, see Key to Solar Eclipse Maps.

The instant of greatest eclipse takes place on 2168 Jan 10 at 09:19:03 TD (09:15:27 UT1). This is 2.9 days after the Moon reaches apogee. During the eclipse, the Sun is in the constellation Sagittarius. The synodic month in which the eclipse takes place has a Brown Lunation Number of 3031.

The eclipse belongs to Saros 134 and is number 52 of 71 eclipses in the series. All eclipses in this series occur at the Moon’s descending node. The Moon moves northward with respect to the node with each succeeding eclipse in the series and gamma increases.

The solar eclipse of 2168 Jan 10 is an exceptionally long annular eclipse with a duration at greatest eclipse of 10m55s. It has an eclipse magnitude of 0.9230.

The annular solar eclipse of 2168 Jan 10 is followed two weeks later by a partial lunar eclipse on 2168 Jan 24.

These eclipses all take place during a single eclipse season.

The eclipse predictions are given in both Terrestrial Dynamical Time (TD) and Universal Time (UT1). The parameter ΔT is used to convert between these two times (i.e., UT1 = TD - ΔT). ΔT has a value of 215.8 seconds for this eclipse.

The following links provide maps and data for the eclipse.

The tables below contain detailed predictions and additional information on the Annular Solar Eclipse of 2168 Jan 10 .

Eclipse Data: Annular Solar Eclipse of 2168 Jan 10

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.92301
Eclipse Obscuration 0.85194
Gamma 0.53366
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse 2168 Jan 10 at 09:19:03.1 TD (09:15:27.4 UT1) 2512914.885733
Ecliptic Conjunction 2168 Jan 10 at 09:12:40.9 TD (09:09:05.1 UT1) 2512914.881309
Equatorial Conjunction 2168 Jan 10 at 09:21:49.4 TD (09:18:13.6 UT1) 2512914.887658
Geocentric Coordinates of Sun and Moon
2168 Jan 10 at 09:19:03.1 TD (09:15:27.4 UT1)
Coordinate Sun Moon
Right Ascension19h25m03.1s19h24m57.6s
Declination-21°58'43.3"-21°29'48.1"
Semi-Diameter 16'15.8" 14'49.3"
Eq. Hor. Parallax 08.9" 0°54'23.6"
Geocentric Libration of Moon
Angle Value
l -2.6°
b -0.6°
c -9.8°
Prediction Parameters
Paramater Value
Ephemerides JPL DE406
ΔT 215.8 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 134 (52/71)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2168 Jan 10

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactP106:24:14.106:20:38.416°08.7'N003°17.2'E
Last External ContactP412:13:47.212:10:11.420°48.1'N080°23.3'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N107:33:36.107:30:00.303°53.7'S022°20.6'W
South Extreme Path Limit 1S111:04:30.011:00:54.300°48.5'N106°11.4'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2168 Jan 10

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactU107:35:30.107:31:54.326°41.9'N009°31.5'W
First Internal ContactU207:43:01.307:39:25.528°28.2'N010°28.4'W
Last Internal ContactU310:55:04.310:51:28.633°01.0'N093°40.6'E
Last External ContactU411:02:32.210:58:56.531°16.6'N092°49.4'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N107:40:43.607:37:07.829°12.1'N009°30.3'W
South Extreme Path Limit 1S107:37:53.707:34:17.925°56.3'N010°30.8'W
North Extreme Path Limit 2N210:57:20.910:53:45.133°44.1'N092°40.6'E
South Extreme Path Limit 2S211:00:09.810:56:34.030°31.8'N093°50.3'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Annular Solar Eclipse of 2168 Jan 10

Extreme Limits of the Central Line
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
Extreme Central Line Limit 1C107:39:14.507:35:38.727°33.4'N010°00.7'W
Extreme Central Line Limit 2C210:58:49.510:55:13.832°07.2'N093°16.0'E

Explanation of Central Line Extremes Table

Greatest Eclipse and Greatest Duration
Event Time
TD		 Time
UT1		 Latitude Longitude Sun
Altitude		 Sun
Azimuth		 Path Width Central
Duration
Greatest Eclipse09:19:03.109:15:27.410°19.0'N040°36.5'E 57.7° 177.6° 343.6 km10m54.50s
Greatest Duration09:16:51.809:13:16.010°16.6'N040°58.8'E 57.7° 175.8° 343.8 km10m54.62s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Annular Solar Eclipse of 2168 Jan 10

Polynomial Besselian Elements
2168 Jan 10 at 09:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.18451 0.52608 -21.9819 0.57309 0.02680 313.2647
1 0.50728 0.02221 0.0061 -0.00005 -0.00005 14.9971
2 0.00001 0.00013 0.0000 -0.00001 -0.00001 0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0047557
Tan ƒ2 0.0047320

At time t1 (decimal hours), each besselian element is evaluated by:

x = x0 + x1*t + x2*t2 + x3*t3 (or x = Σ [xn*tn]; n = 0 to 3)

where: t = t1 - t0 (decimal hours) and t0 = 9.000

Explanation of Polynomial Besselian Elements

Links for the Annular Solar Eclipse of 2168 Jan 10

Links to Additional Solar Eclipse Information

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

Predictions for the Annular Solar Eclipse of 2168 Jan 10 were generated using the JPL DE406 solar and lunar ephemerides. The lunar coordinates were calculated with respect to the Moon's Center of Mass. The predictions are given in both Terrestrial Dynamical Time (TD) and Universal Time (UT1). The parameter ΔT is used to convert between these two times (i.e., UT1 = TD - ΔT). ΔT has a value of 215.8 seconds for this eclipse.

Acknowledgments

Some of the content on this website is based on the book 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.