Solar Eclipse Prime Page

Annular Solar Eclipse of 2031 May 21

Fred Espenak

Introduction


The Annular Solar Eclipse of 2031 May 21 is visible from the following geographic regions:

  • Partial Eclipse: Africa, south Asia, East Indies, Australia
  • Annular Eclipse: Angola, Congo, Zambia, Tanzania, south India, Malaysia, Indonesia

The map to the right depicts the geographic regions of eclipse visibility. 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 2031 May 21 at 07:16:04 TD (07:14:50 UT1). This is 3.8 days before 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 1341.

The eclipse belongs to Saros 138 and is number 32 of 70 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 annular solar eclipse of 2031 May 21 is preceded two weeks earlier by a penumbral lunar eclipse on 2031 May 07, and it is followed two weeks later by a penumbral lunar eclipse on 2031 Jun 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 74.6 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 2031 May 21 .


Eclipse Data: Annular Solar Eclipse of 2031 May 21

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.95892
Eclipse Obscuration 0.91954
Gamma-0.19699
Conjunction Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 2031 May 21 at 07:16:04.3 TD (07:14:49.7 UT1) 2463007.801965
Ecliptic Conjunction 2031 May 21 at 07:18:22.9 TD (07:17:08.3 UT1) 2463007.803568
Equatorial Conjunction 2031 May 21 at 07:13:28.3 TD (07:12:13.7 UT1) 2463007.800159
Geocentric Coordinates of Sun and Moon
2031 May 21 at 07:16:04.3 TD (07:14:49.7 UT1)
Coordinate Sun Moon
Right Ascension03h51m34.6s03h51m39.8s
Declination+20°09'39.2"+19°58'57.5"
Semi-Diameter 15'48.2" 14'55.8"
Eq. Hor. Parallax 08.7" 0°54'47.5"
Geocentric Libration of Moon
Angle Value
l 3.3°
b 0.3°
c -13.7°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 74.6 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 138 (32/70)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2031 May 21

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP104:15:23.004:14:08.512°57.7'S030°27.4'E
First Internal ContactP206:30:37.306:29:22.731°08.9'S004°37.3'E
Last Internal ContactP308:01:34.708:00:20.119°08.5'S141°44.5'E
Last External ContactP410:16:51.410:15:36.800°46.7'S114°57.5'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N105:37:08.205:35:53.613°43.5'N000°02.2'E
South Extreme Path Limit 1S105:51:12.005:49:57.550°53.1'S028°29.1'E
North Extreme Path Limit 2N208:54:56.608:53:42.125°48.6'N145°57.6'E
South Extreme Path Limit 2S208:41:07.508:39:52.939°37.5'S121°28.1'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2031 May 21

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactU105:19:52.605:18:38.116°38.7'S015°47.3'E
First Internal ContactU205:23:41.505:22:26.916°59.4'S014°58.5'E
Last Internal ContactU309:08:27.609:07:13.004°49.9'S130°33.8'E
Last External ContactU409:12:20.509:11:05.904°28.7'S129°43.5'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N105:21:45.005:20:30.415°57.0'S015°02.5'E
South Extreme Path Limit 1S105:21:50.405:20:35.817°40.8'S015°43.0'E
North Extreme Path Limit 2N209:10:25.909:09:11.303°46.0'S130°27.9'E
South Extreme Path Limit 2S209:10:20.809:09:06.205°32.3'S129°49.8'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Annular Solar Eclipse of 2031 May 21

Extreme Limits of the Central Line
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
Extreme Central Line Limit 1C105:21:47.005:20:32.416°48.9'S015°22.8'E
Extreme Central Line Limit 2C209:10:24.009:09:09.504°39.1'S130°08.7'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 Eclipse07:16:04.307:14:49.708°55.6'N071°24.9'E 78.7° 353.8° 152.2 km05m25.50s
Greatest Duration07:24:28.807:23:14.309°19.1'N073°47.6'E 77.9° 334.7° 152.7 km05m26.09s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Annular Solar Eclipse of 2031 May 21

Polynomial Besselian Elements
2031 May 21 at 07:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.11479 -0.21125 20.1591 0.56242 0.01619 285.8512
1 0.51124 0.05793 0.0083 0.00008 0.00008 15.0006
2 0.00001 -0.00012 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046208
Tan ƒ2 0.0045978

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 = 7.000

Explanation of Polynomial Besselian Elements

Links for the Annular Solar Eclipse of 2031 May 21

Links to Additional Solar Eclipse Information

Eclipse Predictions

Predictions for the Annular Solar Eclipse of 2031 May 21 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 74.6 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.