Solar Eclipse Prime Page

Total Solar Eclipse of 1733 May 13

Fred Espenak

Introduction

eclipse map

The Total Solar Eclipse of 1733 May 13 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 1733 May 13 at 17:18:28 TD (17:18:18 UT1). This is 0.7 days after 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 -2345.

The eclipse belongs to Saros 114 and is number 61 of 72 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 1733 May 13 is a relatively long total eclipse with a duration at greatest eclipse of 04m06s. It has an eclipse magnitude of 1.0656.

The total solar eclipse of 1733 May 13 is followed two weeks later by a partial lunar eclipse on 1733 May 28.

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 10.7 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 Total Solar Eclipse of 1733 May 13 .

Eclipse Data: Total Solar Eclipse of 1733 May 13

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 1.06564
Eclipse Obscuration 1.13560
Gamma 0.77118
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse 1733 May 13 at 17:18:28.4 TD (17:18:17.7 UT1) 2354158.221038
Ecliptic Conjunction 1733 May 13 at 17:10:42.9 TD (17:10:32.2 UT1) 2354158.215650
Equatorial Conjunction 1733 May 13 at 17:31:14.4 TD (17:31:03.7 UT1) 2354158.229904
Geocentric Coordinates of Sun and Moon
1733 May 13 at 17:18:28.4 TD (17:18:17.7 UT1)
Coordinate Sun Moon
Right Ascension03h21m42.2s03h21m10.6s
Declination+18°30'22.4"+19°16'50.5"
Semi-Diameter 15'48.5" 16'40.2"
Eq. Hor. Parallax 08.7" 1°01'10.6"
Geocentric Libration of Moon
Angle Value
l 1.4°
b -1.0°
c -16.2°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 10.7 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 114 (61/72)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Total Solar Eclipse of 1733 May 13

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactP115:02:03.215:01:52.520°02.5'N143°29.2'W
Last External ContactP419:34:49.319:34:38.637°05.8'N010°00.2'W
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N115:31:07.015:30:56.304°44.1'N145°20.2'W
South Extreme Path Limit 1S119:05:48.019:05:37.322°04.0'N009°37.3'W

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Total Solar Eclipse of 1733 May 13

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
First External ContactU116:10:48.716:10:38.038°07.8'N168°53.8'W
First Internal ContactU216:15:21.716:15:11.039°55.1'N171°03.9'W
Last Internal ContactU318:21:26.818:21:16.155°55.6'N023°20.4'E
Last External ContactU418:25:58.518:25:47.854°18.5'N020°19.1'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
North Extreme Path Limit 1N116:14:58.516:14:47.840°10.3'N171°07.0'W
South Extreme Path Limit 1S116:11:13.716:11:03.037°51.9'N168°51.1'W
North Extreme Path Limit 2N218:21:49.918:21:39.256°09.2'N023°31.4'E
South Extreme Path Limit 2S218:25:33.718:25:23.154°04.0'N020°09.3'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Total Solar Eclipse of 1733 May 13

Extreme Limits of the Central Line
Contact Event Contact Time
TD		 Time
UT1		 Latitude Longitude
Extreme Central Line Limit 1C116:13:03.816:12:53.139°00.2'N169°57.3'W
Extreme Central Line Limit 2C218:23:44.118:23:33.455°06.1'N021°46.9'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 Eclipse17:18:28.417:18:17.767°51.1'N099°30.8'W 39.2° 156.7° 338.8 km04m06.12s
Greatest Duration17:18:46.917:18:36.267°55.2'N099°07.8'W 39.2° 157.2° 338.7 km04m06.12s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Total Solar Eclipse of 1733 May 13

Polynomial Besselian Elements
1733 May 13 at 17:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.29933 0.73296 18.5013 0.53216 -0.01393 76.0182
1 0.57490 0.09247 0.0100 0.00004 0.00004 15.0016
2 0.00003 -0.00017 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046211
Tan ƒ2 0.0045981

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 1733 May 13

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 1733 May 13 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 10.7 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.