Solar Eclipse Prime Page

Annular Solar Eclipse of 1757 Aug 14

Fred Espenak

Introduction


The Annular Solar Eclipse of 1757 Aug 14 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 1757 Aug 14 at 22:16:45 TD (22:16:31 UT1). This is 2.1 days after the Moon reaches apogee. During the eclipse, the Sun is in the constellation Leo. The synodic month in which the eclipse takes place has a Brown Lunation Number of -2045.

The eclipse belongs to Saros 141 and is number 9 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 1757 Aug 14 is preceded two weeks earlier by a partial lunar eclipse on 1757 Jul 30.

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 13.9 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 1757 Aug 14 .


Eclipse Data: Annular Solar Eclipse of 1757 Aug 14

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.94065
Eclipse Obscuration 0.88483
Gamma 0.88074
Conjunction Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 1757 Aug 14 at 22:16:44.7 TD (22:16:30.8 UT1) 2363017.428134
Ecliptic Conjunction 1757 Aug 14 at 22:27:04.8 TD (22:26:50.9 UT1) 2363017.435311
Equatorial Conjunction 1757 Aug 14 at 21:52:15.1 TD (21:52:01.2 UT1) 2363017.411125
Geocentric Coordinates of Sun and Moon
1757 Aug 14 at 22:16:44.7 TD (22:16:30.8 UT1)
Coordinate Sun Moon
Right Ascension09h38m05.0s09h38m50.2s
Declination+14°08'37.9"+14°54'57.4"
Semi-Diameter 15'48.1" 14'45.9"
Eq. Hor. Parallax 08.7" 0°54'11.2"
Geocentric Libration of Moon
Angle Value
l -1.9°
b -1.0°
c 20.5°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 13.9 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 141 ( 9/70)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 1757 Aug 14

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP119:44:02.719:43:48.845°47.4'N140°02.1'E
Last External ContactP400:49:35.600:49:21.720°25.0'N095°57.1'W
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N120:17:05.820:16:51.930°55.1'N138°07.3'E
South Extreme Path Limit 1S100:16:28.700:16:14.805°12.0'N091°43.7'W

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 1757 Aug 14

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactU121:16:46.921:16:33.068°18.2'N092°33.6'E
First Internal ContactU221:26:37.521:26:23.671°16.0'N081°24.0'E
Last Internal ContactU323:07:10.923:06:57.148°57.3'N058°54.3'W
Last External ContactU423:16:58.523:16:44.745°02.0'N063°33.9'W
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N121:26:12.721:25:58.871°25.7'N080°54.1'E
South Extreme Path Limit 1S121:17:16.221:17:02.368°05.0'N092°57.4'E
North Extreme Path Limit 2N223:07:35.823:07:21.949°11.5'N058°51.8'W
South Extreme Path Limit 2S223:16:29.423:16:15.544°45.4'N063°35.2'W

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Annular Solar Eclipse of 1757 Aug 14

Extreme Limits of the Central Line
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
Extreme Central Line Limit 1C121:21:32.021:21:18.169°45.4'N087°33.8'E
Extreme Central Line Limit 2C223:12:15.023:12:01.146°53.6'N061°22.6'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 Eclipse22:16:44.722:16:30.871°36.9'N113°30.2'W 27.9° 224.4° 467.5 km04m35.82s
Greatest Duration22:14:22.322:14:08.572°25.1'N115°30.4'W 27.8° 221.3° 465.8 km04m35.86s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Annular Solar Eclipse of 1757 Aug 14

Polynomial Besselian Elements
1757 Aug 14 at 22:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 0.06387 0.88979 14.1453 0.56564 0.01939 148.9707
1 0.49455 -0.11640 -0.0127 -0.00004 -0.00004 15.0032
2 -0.00002 -0.00012 -0.0000 -0.00001 -0.00001 0.0000
3 -0.00001 0.00000 - - - -
Tan ƒ1 0.0046205
Tan ƒ2 0.0045975

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 = 22.000

Explanation of Polynomial Besselian Elements

Links for the Annular Solar Eclipse of 1757 Aug 14

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 1757 Aug 14 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 13.9 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.