Solar Eclipse Prime Page

Partial Solar Eclipse of 2181 May 13

Fred Espenak

Introduction

eclipse map

The Partial Solar Eclipse of 2181 May 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 2181 May 13 at 14:55:43 TD (14:51:45 UT1). This is 2.9 days before the Moon reaches apogee. During the eclipse, the Sun is in the constellation Aries. The synodic month in which the eclipse takes place has a Brown Lunation Number of 3196.

The eclipse belongs to Saros 160 and is number 1 of 71 eclipses in the series. Thus, the 2181 May 13 event is the very first eclipse of 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.

This is a very deep partial eclipse. It has an eclipse magnitude of 0.0511, while Gamma has a value of -1.5322.

The partial solar eclipse of 2181 May 13 is preceded two weeks earlier by a total lunar eclipse on 2181 Apr 29.

Another solar eclipse occurs one synodic month before the 2181 May 13 eclipse. It is the partial solar eclipse of 2181 Apr 14.

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 237.5 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 Partial Solar Eclipse of 2181 May 13 .

Eclipse Data: Partial Solar Eclipse of 2181 May 13

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.05109
Eclipse Obscuration 0.01352
Gamma-1.53224
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse 2181 May 13 at 14:55:42.9 TD (14:51:45.4 UT1) 2517787.119276
Ecliptic Conjunction 2181 May 13 at 15:13:16.1 TD (15:09:18.6 UT1) 2517787.131465
Equatorial Conjunction 2181 May 13 at 14:27:23.4 TD (14:23:25.9 UT1) 2517787.099605
Geocentric Coordinates of Sun and Moon
2181 May 13 at 14:55:42.9 TD (14:51:45.4 UT1)
Coordinate Sun Moon
Right Ascension03h23m53.7s03h24m47.7s
Declination+18°35'33.5"+17°13'24.5"
Semi-Diameter 15'50.2" 14'49.5"
Eq. Hor. Parallax 08.7" 0°54'24.6"
Geocentric Libration of Moon
Angle Value
l 2.4°
b 1.9°
c -15.9°
Prediction Parameters
Paramater Value
Ephemerides JPL DE406
ΔT 237.5 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 160 ( 1/71)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Partial Solar Eclipse of 2181 May 13

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactP114:20:02.414:16:04.971°16.7'S041°54.5'W
Last External ContactP415:31:38.715:27:41.362°53.3'S003°53.1'W
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N114:30:39.314:26:41.870°47.3'S052°39.9'W
South Extreme Path Limit 1S115:21:03.715:17:06.260°53.4'S002°40.6'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Polynomial Besselian Elements: Partial Solar Eclipse of 2181 May 13

Polynomial Besselian Elements
2181 May 13 at 15:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 0.27375 -1.50803 18.5970 0.56501 0.01876 45.8643
1 0.50369 0.07912 0.0099 0.00006 0.00006 15.0012
2 -0.00000 -0.00005 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046305
Tan ƒ2 0.0046075

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 Partial Solar Eclipse of 2181 May 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 Partial Solar Eclipse of 2181 May 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 237.5 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.