Total Lunar Eclipse of -1758 Jul 01 (1759 Jul 01 BCE)

Fred Espenak

Introduction

The Total Lunar Eclipse of -1758 Jul 01 (1759 Jul 01 BCE) is visible from the geographic regions shown on the map to the right. The diagram above the map depicts the Moon's path with respect to Earth's umbral and penumbral shadows. Click on the figure to enlarge it. For an explanation of the features appearing in the figure, see Key to Lunar Eclipse Figures.

The instant of greatest eclipse takes place on -1758 Jul 01 at 22:29:60 TD (11:11:23 UT1). This is 5.0 days after the Moon reaches perigee. During the eclipse, the Moon is in the constellation Capricornus. The synodic month in which the eclipse takes place has a Brown Lunation Number of -45522.

The eclipse belongs to Saros 11 and is number 35 of 75 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.

This total eclipse is central meaning the Moon’s disk actually passes through the axis of Earth’s umbral shadow. It has an umbral eclipse magnitude of 1.8304, and Gamma has a value of -0.0146. Because they are so deep, such eclipses typically have the longest total phases. In this case, the duration of totality lasts 102.5 minutes. That qualifies the eclipse as a member of a select class of exceptionally long total eclipses with durations exceeding 100 minutes.

The total lunar eclipse of -1758 Jul 01 is preceded two weeks earlier by a partial solar eclipse on -1758 Jun 18, and it is followed two weeks later by a partial solar eclipse on -1758 Jul 17.

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 40716.9 seconds for this eclipse. The uncertainty in ΔT is 2776.3 seconds corresponding to a standard error in longitude of the eclipse visibility zones of 11.60°.

The following links provide maps and data for the eclipse.

The tables below contain detailed predictions and additional information on the Total Lunar Eclipse of -1758 Jul 01 .

Eclipse Data: Total Lunar Eclipse of -1758 Jul 01

Eclipse Characteristics
Parameter Value
Penumbral Magnitude 2.83177
Umbral Magnitude 1.83044
Gamma-0.01464
Epsilon 0.0141°
Opposition Times
Event Calendar Date & Time Julian Date
Greatest Eclipse -1758 Jul 01 at 22:29:59.7 TD (11:11:22.9 UT1) 1079129.966237
Ecliptic Opposition -1758 Jul 01 at 22:30:09.6 TD (11:11:32.8 UT1) 1079129.966351
Equatorial Opposition -1758 Jul 01 at 22:30:14.9 TD (11:11:38.0 UT1) 1079129.966412
Geocentric Coordinates of Sun and Moon
-1758 Jul 01 at 22:29:59.7 TD (11:11:22.9 UT1)
Coordinate Sun Moon
Right Ascension05h27m48.1s17h27m47.6s
Declination+23°41'23.4"-23°42'13.5"
Semi-Diameter 15'47.4" 15'46.2"
Eq. Hor. Parallax 08.7" 0°57'52.5"
Geocentric Libration of Moon
Angle Value
l 5.9°
b 0.2°
c 1.4°
Earth's Shadows
Parameter Value
Penumbral Radius 1.2398°
Umbral Radius 0.7135°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 40716.9 s
Shadow Rule Danjon
Shadow Enlargement 1.010
Saros Series 11 (35/75)

Explanation of Lunar Eclipse Data Tables

Eclipse Contacts: Total Lunar Eclipse of -1758 Jul 01

Lunar Eclipse Contacts
Eclipse Event Contact Time
TD		 Time
UT1		 Zenith Latitude Zenith Longitude Position Angle Axis Distance
Penumbral BeginsP119:38:59.208:20:22.323°27.2'S128°31.1'W 278.4° 1.5042°
Partial BeginsU120:38:51.009:20:14.123°32.6'S142°54.9'W 278.1° 0.9773°
Total BeginsU221:38:42.710:20:05.923°37.9'S157°18.6'W 277.2° 0.4509°
Greatest EclipseGreatest22:29:59.711:11:22.923°42.2'S169°38.6'W 188.9° 0.0141°
Total EndsU323:21:15.512:02:38.723°46.5'S178°01.7'E 100.7° 0.4504°
Partial EndsU400:21:06.413:02:29.523°51.3'S163°38.2'E 99.7° 0.9753°
Penumbral EndsP401:21:06.814:02:30.023°56.0'S149°12.4'E 99.4° 1.5011°
Eclipse Durations
Eclipse Phase Duration
Penumbral (P4 - P1)05h42m07.7s
Partial (U4 - U1)03h42m15.4s
Total (U3 - U2)01h42m32.8s

Explanation of Lunar Eclipse Contacts Table

Polynomial Besselian Elements: Total Lunar Eclipse of -1758 Jul 01

Polynomial Besselian Elements
-1758 Jul 01 at 22:00:00.0 TD (=t0)
n x y d f1 f2 f3
0 -0.26256 0.02701 0.4134 1.24003 0.71368 0.26288
1 0.52091 -0.08202 0.0000 -0.00042 -0.00042 -0.00011
2 -0.00021 0.00019 0.0000 -0.00000 -0.00000 -0.00000
3 -0.00001 0.00000 - - - -

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 Besselian Elements

Links for the Total Lunar Eclipse of -1758 Jul 01 (1759 Jul 01 BCE)

Links to Additional Lunar 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 Lunar Eclipse of -1758 Jul 01 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 40716.9 seconds for this eclipse. The uncertainty in ΔT is 2776.3 seconds corresponding to a standard error in longitude of the eclipse visibility zones of 11.60°.

Acknowledgments

Some of the content on this web site is based on the book Thousand Year Canon of Lunar Eclipses 1501 to 2500. All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.

Permission is granted to reproduce this data when accompanied by 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.