Solar Eclipse Prime Page

Total Solar Eclipse of -0788 May 04 (0789 May 04 BCE)

Fred Espenak

Introduction

eclipse map

The Total Solar Eclipse of -0788 May 04 (0789 May 04 BCE) 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 -0788 May 04 at 16:38:08 TD (10:37:48 UT1). This is 0.4 days before the Moon reaches perigee. 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 -33526.

The eclipse belongs to Saros 35 and is number 61 of 84 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 solar eclipse of -0788 May 04 is a relatively long total eclipse with a duration at greatest eclipse of 05m59s. It has an eclipse magnitude of 1.0747.

The total solar eclipse of -0788 May 04 is followed two weeks later by a partial lunar eclipse on -0788 May 19.

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 21620.4 seconds for this eclipse. The uncertainty in ΔT is 541.3 seconds corresponding to a standard error in longitude of the eclipse path of ± 2.26°.

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 -0788 May 04 .

Eclipse Data: Total Solar Eclipse of -0788 May 04

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 1.07473
Eclipse Obscuration 1.15504
Gamma-0.67226
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse -0788 May 04 at 16:38:08.4 TD (10:37:48.0 UT1) 1433364.942917
Ecliptic Conjunction -0788 May 04 at 16:31:21.6 TD (10:31:01.2 UT1) 1433364.938208
Equatorial Conjunction -0788 May 04 at 16:05:16.7 TD (10:04:56.3 UT1) 1433364.920096
Geocentric Coordinates of Sun and Moon
-0788 May 04 at 16:38:08.4 TD (10:37:48.0 UT1)
Coordinate Sun Moon
Right Ascension02h11m13.8s02h12m26.1s
Declination+13°26'06.2"+12°48'58.3"
Semi-Diameter 15'43.9" 16'41.8"
Eq. Hor. Parallax 08.6" 1°01'16.7"
Geocentric Libration of Moon
Angle Value
l -0.5°
b 0.9°
c -18.1°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 21620.4 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 35 (61/84)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Total Solar Eclipse of -0788 May 04

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactP114:16:57.508:16:37.149°45.9'S019°14.7'W
Last External ContactP418:59:31.612:59:11.200°38.1'S073°34.9'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N115:02:04.309:01:43.932°52.4'S038°01.2'W
South Extreme Path Limit 1S118:14:16.012:13:55.616°42.6'N089°10.2'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Total Solar Eclipse of -0788 May 04

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactU115:20:13.509:19:53.163°40.6'S022°35.6'W
First Internal ContactU215:24:34.509:24:14.165°03.1'S021°39.4'W
Last Internal ContactU317:52:02.511:51:42.117°16.6'S086°20.5'E
Last External ContactU417:56:24.011:56:03.515°41.1'S085°40.0'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N115:21:05.309:20:44.863°20.3'S023°16.3'W
South Extreme Path Limit 1S115:23:45.209:23:24.865°22.3'S020°56.7'W
North Extreme Path Limit 2N217:55:31.611:55:11.215°17.7'S085°59.2'E
South Extreme Path Limit 2S217:52:52.111:52:31.617°39.3'S086°02.1'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Total Solar Eclipse of -0788 May 04

Extreme Limits of the Central Line
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
Extreme Central Line Limit 1C115:22:23.209:22:02.764°21.1'S022°10.2'W
Extreme Central Line Limit 2C217:54:14.111:53:53.616°27.8'S086°00.4'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 Eclipse16:38:08.410:37:48.024°54.9'S052°42.0'W 47.6° 332.7° 321.5 km05m58.72s
Greatest Duration16:41:45.410:41:25.023°59.9'S038°42.0'E 47.5° 329.7° 324.6 km05m58.96s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Total Solar Eclipse of -0788 May 04

Polynomial Besselian Elements
-0788 May 04 at 17:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 0.48056 -0.51593 13.4412 0.53047 -0.01561 76.7092
1 0.52693 0.25040 0.0129 -0.00003 -0.00003 15.0039
2 0.00001 -0.00005 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0045984
Tan ƒ2 0.0045755

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 = 17.000

Explanation of Polynomial Besselian Elements

Links for the Total Solar Eclipse of -0788 May 04 (0789 May 04 BCE)

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 -0788 May 04 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 21620.4 seconds for this eclipse. The uncertainty in ΔT is 541.3 seconds corresponding to a standard error in longitude of the eclipse path of ± 2.26°.

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.