Solar Eclipse Prime Page

Hybrid Solar Eclipse of 1181 Jan 17

Fred Espenak

Introduction

The Hybrid Solar Eclipse of 1181 Jan 17 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 1181 Jan 17 at 00:33:21 TD (00:20:16 UT1). This is 2.7 days after the Moon reaches perigee. During the eclipse, the Sun is in the constellation Capricornus. The synodic month in which the eclipse takes place has a Brown Lunation Number of -9176.

The eclipse belongs to Saros 108 and is number 36 of 76 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 1181 Jan 17 is one of the rare hybrid solar eclipses. In this particular case the eclipse path starts out as annular. Further down the track it changes to total and then back to annular before the path ends.

The hybrid solar eclipse of 1181 Jan 17 is preceded two weeks earlier by a penumbral lunar eclipse on 1181 Jan 02, and it is followed two weeks later by a penumbral lunar eclipse on 1181 Feb 01.

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 784.5 seconds for this eclipse.

The following links provide maps and data for the eclipse.

Orthographic Map: Hybrid Solar Eclipse of 1181 Jan 17 - global map of eclipse visibility
Google Map: Hybrid Solar Eclipse of 1181 Jan 17 - interactive map of the eclipse path
Path Table: Hybrid Solar Eclipse of 1181 Jan 17 - coordinates of the central line and path limits
Circumstances Table: Hybrid Solar Eclipse of 1181 Jan 17 - eclipse times for hundreds of cities
Saros 108 Table - data for all eclipses in the Saros series

The tables below contain detailed predictions and additional information on the Hybrid Solar Eclipse of 1181 Jan 17 .

Eclipse Data: Hybrid Solar Eclipse of 1181 Jan 17

Eclipse Characteristics
Parameter	Value
Eclipse Magnitude	1.01267
Eclipse Obscuration	1.02550
Gamma	-0.00739

Conjunction Times
Event	Calendar Date and Time	Julian Date
Greatest Eclipse	1181 Jan 17 at 00:33:20.8 TD (00:20:16.3 UT1)	2152434.514077
Ecliptic Conjunction	1181 Jan 17 at 00:33:25.7 TD (00:20:21.2 UT1)	2152434.514134
Equatorial Conjunction	1181 Jan 17 at 00:33:14.1 TD (00:20:09.6 UT1)	2152434.514000

Geocentric Coordinates of Sun and Moon
1181 Jan 17 at 00:33:20.8 TD (00:20:16.3 UT1)
Coordinate	Sun	Moon
Right Ascension	20h25m57.3s	20h25m57.5s
Declination	-19°18'22.0"	-19°18'48.0"
Semi-Diameter	16'13.2"	16'09.3"
Eq. Hor. Parallax	08.9"	0°59'17.6"

Geocentric Libration of Moon
Angle	Value
l	4.2°
b	0.1°
c	-15.3°

Prediction Paramaters
Paramater	Value
Ephemerides	JPL DE406
ΔT	784.5 s
k (penumbra)	0.2725076
k (umbra)	0.2722810
Saros Series	108 (36/76)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Hybrid Solar Eclipse of 1181 Jan 17

Contacts of Penumbral Shadow with Earth
Contact Event	Contact	Time TD	Time UT1	Latitude	Longitude
First External Contact	P1	21:47:48.3	21:34:43.8	07°51.6'S	127°00.4'E
First Internal Contact	P2	23:44:55.7	23:31:51.2	08°30.9'S	097°29.8'E
Last Internal Contact	P3	01:21:45.1	01:08:40.6	06°45.7'N	106°04.8'W
Last External Contact	P4	03:18:58.7	03:05:54.2	07°25.0'N	135°36.9'W

Extreme Northern and Southern Path Limits of Penumbra
Contact Event	Contact	Time TD	Time UT1	Latitude	Longitude
North Extreme Path Limit 1	N1	22:54:35.1	22:41:30.5	22°57.4'N	121°37.8'E
South Extreme Path Limit 1	S1	23:11:03.6	22:57:59.0	38°52.1'S	092°33.4'E
North Extreme Path Limit 2	N2	02:11:59.1	01:58:54.6	37°54.0'N	132°04.2'W
South Extreme Path Limit 2	S2	01:55:45.1	01:42:40.5	24°00.8'S	103°13.7'W

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Hybrid Solar Eclipse of 1181 Jan 17

Contacts of Umbral Shadow with Earth
Contact Event	Contact	Time TD	Time UT1	Latitude	Longitude
First External Contact	U1	22:46:14.3	22:33:09.8	08°00.9'S	112°20.7'E
First Internal Contact	U2	22:46:28.1	22:33:23.5	08°01.0'S	112°17.2'E
Last Internal Contact	U3	02:20:11.9	02:07:07.3	07°15.6'N	120°52.0'W
Last External Contact	U4	02:20:30.5	02:07:26.0	07°15.7'N	120°56.7'W

Extreme Northern and Southern Path Limits of Umbra
Contact Event	Contact	Time TD	Time UT1	Latitude	Longitude
North Extreme Path Limit 1	N1	22:46:20.1	22:33:15.5	07°57.5'S	112°20.5'E
South Extreme Path Limit 1	S1	22:46:22.3	22:33:17.8	08°04.4'S	112°17.5'E
North Extreme Path Limit 2	N2	02:20:22.7	02:07:18.2	07°20.3'N	120°56.4'W
South Extreme Path Limit 2	S2	02:20:19.7	02:07:15.2	07°11.0'N	120°52.3'W

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Hybrid Solar Eclipse of 1181 Jan 17

Extreme Limits of the Central Line
Contact Event	Contact	Time TD	Time UT1	Latitude	Longitude
Extreme Central Line Limit 1	C1	22:46:21.2	22:33:16.7	08°01.0'S	112°19.0'E
Extreme Central Line Limit 2	C2	02:20:21.2	02:07:16.7	07°15.6'N	120°54.3'W

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 Eclipse	00:33:20.8	00:20:16.3	19°50.9'S	175°11.1'E	89.5°	353.7°	43.6 km	01m17.18s
Greatest Duration	00:29:13.6	00:16:09.1	20°08.7'S	177°10.0'E	87.7°	68.9°	43.6 km	01m17.30s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Hybrid Solar Eclipse of 1181 Jan 17

Polynomial Besselian Elements
1181 Jan 17 at 01:00:00.0 TD (=t0)
n	x	y	d	l1	l2	μ
0	0.24766	0.02758	-19.3017	0.54751	0.00134	191.5407
1	0.55517	0.07863	0.0098	0.00010	0.00010	14.9990
2	-0.00005	0.00013	0.0000	-0.00001	-0.00001	0.0000
3	-0.00001	-0.00000	-	-	-	-

Tan ƒ1	0.0047420
Tan ƒ2	0.0047184

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 = 1.000

Explanation of Polynomial Besselian Elements

Links for the Hybrid Solar Eclipse of 1181 Jan 17

Orthographic Map: Hybrid Solar Eclipse of 1181 Jan 17 - global map of eclipse visibility
Google Map: Hybrid Solar Eclipse of 1181 Jan 17 - interactive map of the eclipse path
Path Table: Hybrid Solar Eclipse of 1181 Jan 17 - coordinates of the central line and path limits
Circumstances Table: Hybrid Solar Eclipse of 1181 Jan 17 - eclipse times for hundreds of cities
Saros 108 Table - data for all eclipses in the Saros series
Hybrid Solar Eclipse of 1181 Jan 17 - Google search for links to this eclipse

Links to Additional Solar Eclipse Information

Home - home page of EclipseWise with predictions for both solar and lunar eclipses

Solar Eclipses - primary page for solar eclipse predictions
Solar Eclipse Links - detailed directory of links

Six Millennium Catalog of Solar Eclipses - covers the years -2999 to +3000 (3000 BCE to 3000 CE)
Saros Catalog of Solar Eclipses - covers Saros series -30 through 190
World Atlas of Solar Eclipse Maps - index page
Solar Eclipse Search Engine - search for solar eclipses from -1999 to +3000
Javascript Solar Eclipse Explorer - calculate all solar eclipses visible from a city

Thousand Year Canon of Solar Eclipses 1501 to 2500 - link to the publication

MrEclipse.com - eclipse resources and tips on photography
Solar Eclipses for Beginners - a primer on solar eclipse basics
MrEclipse Photo Index - an index of solar eclipse photographs

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 Hybrid Solar Eclipse of 1181 Jan 17 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 784.5 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.