Solar Eclipse Prime Page

Total Solar Eclipse of 0786 Apr 03

Fred Espenak

Introduction

eclipse map

The Total Solar Eclipse of 0786 Apr 03 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 0786 Apr 03 at 13:51:20 TD (13:00:34 UT1). This is 0.0 days after the Moon reaches perigee. 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 -14059.

The eclipse belongs to Saros 90 and is number 52 of 83 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 0786 Apr 03 is an exceptionally long total eclipse with a duration at greatest eclipse of 06m02s. It has an eclipse magnitude of 1.0709.

The total solar eclipse of 0786 Apr 03 is followed two weeks later by a penumbral lunar eclipse on 0786 Apr 18.

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 3046.6 seconds for this eclipse. The uncertainty in ΔT is 85.5 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.36°.

The following links provide maps and data for the eclipse.

The tables below contain detailed predictions and additional information on the Total Solar Eclipse of 0786 Apr 03 .

Eclipse Data: Total Solar Eclipse of 0786 Apr 03

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 1.07088
Eclipse Obscuration 1.14678
Gamma 0.25514
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse 0786 Apr 03 at 13:51:20.1 TD (13:00:33.5 UT1) 2008237.042054
Ecliptic Conjunction 0786 Apr 03 at 13:48:44.4 TD (12:57:57.8 UT1) 2008237.040252
Equatorial Conjunction 0786 Apr 03 at 13:59:21.4 TD (13:08:34.8 UT1) 2008237.047625
Geocentric Coordinates of Sun and Moon
0786 Apr 03 at 13:51:20.1 TD (13:00:33.5 UT1)
Coordinate Sun Moon
Right Ascension01h02m41.4s01h02m23.0s
Declination+06°43'44.5"+06°58'40.9"
Semi-Diameter 15'52.9" 16'43.7"
Eq. Hor. Parallax 08.7" 1°01'23.5"
Geocentric Libration of Moon
Angle Value
l -0.0°
b -0.3°
c -24.2°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 3046.6 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 90 (52/83)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Total Solar Eclipse of 0786 Apr 03

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactP111:16:04.610:25:18.007°26.5'S064°57.6'W
First Internal ContactP213:11:06.912:20:20.316°03.9'N096°33.0'W
Last Internal ContactP314:31:20.813:40:34.249°57.1'N073°24.6'E
Last External ContactP416:26:31.815:35:45.226°32.4'N039°55.3'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N112:49:47.311:59:00.734°54.2'N093°59.0'W
South Extreme Path Limit 1S112:09:48.811:19:02.233°00.8'S074°53.8'W
North Extreme Path Limit 2N214:52:32.014:01:45.468°15.8'N077°17.0'E
South Extreme Path Limit 2S215:33:00.414:42:13.800°57.0'N050°01.4'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Total Solar Eclipse of 0786 Apr 03

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactU112:10:32.311:19:45.702°26.7'S079°10.2'W
First Internal ContactU212:13:26.311:22:39.702°01.9'S079°56.6'W
Last Internal ContactU315:29:08.014:38:21.431°55.9'N055°06.6'E
Last External ContactU415:32:02.114:41:15.531°31.2'N054°19.0'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N112:12:26.411:21:39.801°25.9'S079°45.9'W
South Extreme Path Limit 1S112:11:33.711:20:47.103°02.8'S079°21.3'W
North Extreme Path Limit 2N215:30:07.614:39:21.032°31.7'N054°57.6'E
South Extreme Path Limit 2S215:31:01.014:40:14.430°55.3'N054°28.5'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Total Solar Eclipse of 0786 Apr 03

Extreme Limits of the Central Line
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
Extreme Central Line Limit 1C112:11:59.311:21:12.702°14.5'S079°33.4'W
Extreme Central Line Limit 2C215:30:35.114:39:48.531°43.4'N054°42.8'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 Eclipse13:51:20.113:00:33.520°57.8'N031°58.6'W 75.1° 162.0° 238.2 km06m02.35s
Greatest Duration13:53:13.113:02:26.521°17.5'N018°39.0'W 75.0° 166.4° 237.9 km06m02.41s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Total Solar Eclipse of 0786 Apr 03

Polynomial Besselian Elements
0786 Apr 03 at 14:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 0.00599 0.26865 6.7306 0.53248 -0.01361 29.5607
1 0.55845 0.17087 0.0152 -0.00000 -0.00000 15.0048
2 0.00001 -0.00006 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046424
Tan ƒ2 0.0046193

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 = 14.000

Explanation of Polynomial Besselian Elements

Links for the Total Solar Eclipse of 0786 Apr 03

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 Total Solar Eclipse of 0786 Apr 03 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 3046.6 seconds for this eclipse. The uncertainty in ΔT is 85.5 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.36°.

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.