Solar Eclipse Prime Page

Annular Solar Eclipse of 2357 May 20

Fred Espenak

Introduction


The Annular Solar Eclipse of 2357 May 20 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 2357 May 20 at 00:54:22 TD (00:43:26 UT1). This is 1.4 days after the Moon reaches apogee. During the eclipse, the Sun is in the constellation Taurus. The synodic month in which the eclipse takes place has a Brown Lunation Number of 5373.

The eclipse belongs to Saros 153 and is number 28 of 70 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 2357 May 20 is preceded two weeks earlier by a partial lunar eclipse on 2357 May 05.

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 655.9 seconds for this eclipse. The uncertainty in ΔT is 171.5 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.72°.

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 2357 May 20 .


Eclipse Data: Annular Solar Eclipse of 2357 May 20

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.94151
Eclipse Obscuration 0.88643
Gamma 0.59605
Conjunction Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 2357 May 20 at 00:54:22.0 TD (00:43:26.1 UT1) 2582075.530163
Ecliptic Conjunction 2357 May 20 at 01:01:26.8 TD (00:50:30.9 UT1) 2582075.535080
Equatorial Conjunction 2357 May 20 at 01:17:41.9 TD (01:06:46.1 UT1) 2582075.546366
Geocentric Coordinates of Sun and Moon
2357 May 20 at 00:54:22.0 TD (00:43:26.1 UT1)
Coordinate Sun Moon
Right Ascension03h47m09.7s03h46m26.7s
Declination+19°53'53.8"+20°24'23.7"
Semi-Diameter 15'49.7" 14'43.5"
Eq. Hor. Parallax 08.7" 0°54'02.6"
Geocentric Libration of Moon
Angle Value
l -1.5°
b -0.7°
c -11.1°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 655.9 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 153 (28/70)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2357 May 20

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP122:02:34.721:51:38.803°48.7'N119°58.0'E
Last External ContactP403:45:57.803:35:01.937°53.2'N128°07.5'W
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N122:44:12.322:33:16.415°15.0'S116°35.7'E
South Extreme Path Limit 1S103:04:30.602:53:34.719°15.4'N126°52.1'W

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2357 May 20

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactU123:16:11.323:05:15.416°27.2'N096°48.6'E
First Internal ContactU223:22:18.323:11:22.418°06.7'N094°37.2'E
Last Internal ContactU302:26:11.002:15:15.151°12.5'N097°46.6'W
Last External ContactU402:32:16.802:21:20.949°43.1'N100°46.9'W
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N123:21:23.623:10:27.718°39.1'N094°37.7'E
South Extreme Path Limit 1S123:17:08.523:06:12.715°53.8'N096°47.5'E
North Extreme Path Limit 2N202:27:05.202:16:09.351°41.2'N097°30.0'W
South Extreme Path Limit 2S202:31:20.002:20:24.149°13.0'N101°01.2'W

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Annular Solar Eclipse of 2357 May 20

Extreme Limits of the Central Line
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
Extreme Central Line Limit 1C123:19:13.823:08:17.917°15.7'N095°43.8'E
Extreme Central Line Limit 2C202:29:15.002:18:19.150°26.7'N099°18.9'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 Eclipse00:54:22.000:43:26.153°55.0'N147°11.3'E 53.2° 150.2° 268.5 km05m23.61s
Greatest Duration01:03:21.800:52:25.956°01.6'N154°18.7'E 52.8° 161.4° 266.5 km05m24.04s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Annular Solar Eclipse of 2357 May 20

Polynomial Besselian Elements
2357 May 20 at 01:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.14183 0.58088 19.8977 0.56691 0.02065 195.7519
1 0.48081 0.15882 0.0084 -0.00003 -0.00003 15.0005
2 0.00005 -0.00014 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046282
Tan ƒ2 0.0046052

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 Annular Solar Eclipse of 2357 May 20

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 2357 May 20 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 655.9 seconds for this eclipse. The uncertainty in ΔT is 171.5 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.72°.

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.