Penumbral Lunar Eclipse of 1745 Oct 10

Fred Espenak

Introduction


The Penumbral Lunar Eclipse of 1745 Oct 10 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 1745 Oct 10 at 14:56:54 TD (14:56:42 UT1). This is 1.9 days after the Moon reaches apogee. During the eclipse, the Moon is in the constellation Aries. The synodic month in which the eclipse takes place has a Brown Lunation Number of -2192.

The eclipse belongs to Saros 142 and is number 3 of 73 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 penumbral lunar eclipse of 1745 Oct 10 is preceded two weeks earlier by a total solar eclipse on 1745 Sep 25.

Another lunar eclipse occurs one synodic month before the 1745 Oct 10 eclipse. It is the penumbral lunar eclipse of 1745 Sep 10.

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 12.1 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 Penumbral Lunar Eclipse of 1745 Oct 10 .


Eclipse Data: Penumbral Lunar Eclipse of 1745 Oct 10

Eclipse Characteristics
Parameter Value
Penumbral Magnitude 0.23867
Umbral Magnitude-0.84840
Gamma 1.45149
Epsilon 1.3099°
Opposition Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 1745 Oct 10 at 14:56:54.3 TD (14:56:42.2 UT1) 2358691.122711
Ecliptic Opposition 1745 Oct 10 at 15:13:44.0 TD (15:13:31.8 UT1) 2358691.134396
Equatorial Opposition 1745 Oct 10 at 16:28:51.5 TD (16:28:39.4 UT1) 2358691.186567
Geocentric Coordinates of Sun and Moon
1745 Oct 10 at 14:56:54.3 TD (14:56:42.2 UT1)
Coordinate Sun Moon
Right Ascension13h04m04.5s01h01m35.1s
Declination-06°50'02.5"+07°59'21.9"
Semi-Diameter 16'02.4" 14'45.4"
Eq. Hor. Parallax 08.8" 0°54'09.3"
Geocentric Libration of Moon
Angle Value
l -1.6°
b -1.7°
c -21.1°
Earth's Shadows
Parameter Value
Penumbral Radius 1.1814°
Umbral Radius 0.6467°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 12.1 s
Shadow Rule Danjon
Shadow Enlargement 1.010
Saros Series 142 ( 3/73)

Explanation of Lunar Eclipse Data Tables

Eclipse Contacts: Penumbral Lunar Eclipse of 1745 Oct 10

Lunar Eclipse Contacts
Eclipse Event Contact Time
TD
Time
UT1
Zenith Latitude Zenith Longitude Position Angle Axis Distance
Penumbral BeginsP113:42:18.713:42:06.607°42.1'N150°05.1'E 308.5° 1.4271°
Greatest EclipseGreatest14:56:54.314:56:42.207°59.4'N131°56.2'E 331.9° 1.3099°
Penumbral EndsP416:11:35.816:11:23.708°16.6'N113°46.0'E 355.3° 1.4275°
Eclipse Durations
Eclipse Phase Duration
Penumbral (P4 - P1)02h29m17.1s

Explanation of Lunar Eclipse Contacts Table

Polynomial Besselian Elements: Penumbral Lunar Eclipse of 1745 Oct 10

Polynomial Besselian Elements
1745 Oct 10 at 15:00:00.0 TD (=t0)
n x y d f1 f2 f3
0 -0.59593 1.16677 -0.1193 1.18141 0.64671 0.24593
1 0.40226 0.21463 -0.0003 0.00012 0.00011 0.00003
2 0.00010 -0.00005 0.0000 0.00000 0.00000 0.00000
3 -0.00000 -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 = 15.000

Explanation of Besselian Elements

Links for the Penumbral Lunar Eclipse of 1745 Oct 10

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 Penumbral Lunar Eclipse of 1745 Oct 10 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 12.1 seconds for this eclipse.

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 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.