Solar Eclipse Prime Page

Annular Solar Eclipse of 1181 Jul 13

Fred Espenak

Introduction


The Annular Solar Eclipse of 1181 Jul 13 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 Jul 13 at 15:11:34 TD (14:58:31 UT1). This is 3.5 days after the Moon reaches apogee. During the eclipse, the Sun is in the constellation Cancer. The synodic month in which the eclipse takes place has a Brown Lunation Number of -9170.

The eclipse belongs to Saros 113 and is number 34 of 71 eclipses in the series. All eclipses in this series occur at the Moon’s ascending node. The Moon moves southward with respect to the node with each succeeding eclipse in the series and gamma decreases.

The annular solar eclipse of 1181 Jul 13 is preceded two weeks earlier by a penumbral lunar eclipse on 1181 Jun 28, and it is followed two weeks later by a penumbral lunar eclipse on 1181 Jul 27.

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 783.0 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 1181 Jul 13 .


Eclipse Data: Annular Solar Eclipse of 1181 Jul 13

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.95905
Eclipse Obscuration 0.91977
Gamma 0.22447
Conjunction Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 1181 Jul 13 at 15:11:34.4 TD (14:58:31.4 UT1) 2152612.123974
Ecliptic Conjunction 1181 Jul 13 at 15:14:12.4 TD (15:01:09.4 UT1) 2152612.125803
Equatorial Conjunction 1181 Jul 13 at 15:09:02.3 TD (14:55:59.3 UT1) 2152612.122214
Geocentric Coordinates of Sun and Moon
1181 Jul 13 at 15:11:34.4 TD (14:58:31.4 UT1)
Coordinate Sun Moon
Right Ascension07h56m54.9s07h57m00.0s
Declination+20°49'10.1"+21°01'20.7"
Semi-Diameter 15'45.5" 14'53.4"
Eq. Hor. Parallax 08.7" 0°54'38.9"
Geocentric Libration of Moon
Angle Value
l -3.1°
b -0.2°
c 12.8°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 783.0 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 113 (34/71)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 1181 Jul 13

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP112:10:46.911:57:43.912°53.3'N093°16.9'W
First Internal ContactP214:27:47.814:14:44.833°52.5'N137°20.0'W
Last Internal ContactP315:55:25.815:42:22.823°43.7'N045°10.2'E
Last External ContactP418:12:18.717:59:15.702°32.2'N002°17.7'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N114:05:46.913:52:43.951°59.3'N146°09.5'W
South Extreme Path Limit 1S113:09:11.312:56:08.212°51.7'S097°54.0'W
North Extreme Path Limit 2N216:17:29.216:04:26.242°35.4'N050°29.2'E
South Extreme Path Limit 2S217:13:51.417:00:48.423°08.3'S006°36.1'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 1181 Jul 13

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactU113:15:43.413:02:40.417°06.8'N111°14.9'W
First Internal ContactU213:19:37.013:06:34.017°30.8'N112°23.4'W
Last Internal ContactU317:03:34.916:50:31.907°10.9'N021°15.5'E
Last External ContactU417:07:24.716:54:21.706°47.1'N020°08.8'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N113:18:26.013:05:23.018°11.4'N112°22.8'W
South Extreme Path Limit 1S113:16:55.613:03:52.616°26.1'N111°15.9'W
North Extreme Path Limit 2N217:04:45.016:51:42.007°51.1'N021°13.5'E
South Extreme Path Limit 2S217:06:13.516:53:10.506°06.8'N020°11.1'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Annular Solar Eclipse of 1181 Jul 13

Extreme Limits of the Central Line
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
Extreme Central Line Limit 1C113:17:40.213:04:37.217°18.6'N111°49.0'W
Extreme Central Line Limit 2C217:05:29.916:52:26.906°58.8'N020°42.1'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 Eclipse15:11:34.414:58:31.433°54.9'N045°16.0'W 76.8° 186.1° 152.8 km04m41.82s
Greatest Duration15:03:48.914:50:45.934°16.4'N044°37.5'W 76.3° 167.8° 152.9 km04m42.16s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Annular Solar Eclipse of 1181 Jul 13

Polynomial Besselian Elements
1181 Jul 13 at 15:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.07696 0.23294 20.8204 0.56238 0.01614 43.8610
1 0.51088 -0.04929 -0.0077 -0.00007 -0.00007 15.0005
2 0.00000 -0.00014 -0.0000 -0.00001 -0.00001 0.0000
3 -0.00001 0.00000 - - - -
Tan ƒ1 0.0046074
Tan ƒ2 0.0045845

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 = 15.000

Explanation of Polynomial Besselian Elements

Links for the Annular Solar Eclipse of 1181 Jul 13

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 1181 Jul 13 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 783.0 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.