Total Lunar Eclipse of 2188 Dec 04

Fred Espenak

Introduction


The Total Lunar Eclipse of 2188 Dec 04 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 2188 Dec 04 at 00:15:39 TD (00:11:28 UT1). This is 4.0 days after the Moon reaches apogee. During the eclipse, the Moon is in the constellation Taurus. The synodic month in which the eclipse takes place has a Brown Lunation Number of 3289.

The eclipse belongs to Saros 138 and is number 38 of 82 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.

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 1.5602, and Gamma has a value of 0.1394. Because they are so deep, such eclipses typically have the longest total phases. In this case, the duration of totality lasts 98.9 minutes.

The total lunar eclipse of 2188 Dec 04 is preceded two weeks earlier by a partial solar eclipse on 2188 Nov 18, and it is followed two weeks later by a partial solar eclipse on 2188 Dec 18.

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 250.4 seconds for this eclipse. The uncertainty in ΔT is 60.2 seconds corresponding to a standard error in longitude of the eclipse visibility zones of 0.25°.

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 2188 Dec 04 .


Eclipse Data: Total Lunar Eclipse of 2188 Dec 04

Eclipse Characteristics
Parameter Value
Penumbral Magnitude 2.64482
Umbral Magnitude 1.56025
Gamma 0.13942
Epsilon 0.1275°
Opposition Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 2188 Dec 04 at 00:15:38.9 TD (00:11:28.5 UT1) 2520548.507969
Ecliptic Opposition 2188 Dec 04 at 00:17:17.8 TD (00:13:07.4 UT1) 2520548.509113
Equatorial Opposition 2188 Dec 04 at 00:19:28.2 TD (00:15:17.7 UT1) 2520548.510622
Geocentric Coordinates of Sun and Moon
2188 Dec 04 at 00:15:38.9 TD (00:11:28.5 UT1)
Coordinate Sun Moon
Right Ascension16h44m19.3s04h44m11.8s
Declination-22°16'37.0"+22°24'04.0"
Semi-Diameter 16'13.2" 14'57.3"
Eq. Hor. Parallax 08.9" 0°54'53.1"
Geocentric Libration of Moon
Angle Value
l -3.4°
b -0.1°
c -5.9°
Earth's Shadows
Parameter Value
Penumbral Radius 1.1967°
Umbral Radius 0.6561°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 250.4 s
Shadow Rule Danjon
Shadow Enlargement 1.010
Saros Series 138 (38/82)

Explanation of Lunar Eclipse Data Tables

Eclipse Contacts: Total Lunar Eclipse of 2188 Dec 04

Lunar Eclipse Contacts
Eclipse Event Contact Time
TD
Time
UT1
Zenith Latitude Zenith Longitude Position Angle Axis Distance
Penumbral BeginsP121:11:07.721:06:57.222°02.9'N039°11.9'E 261.8° 1.4450°
Partial BeginsU122:20:52.422:16:42.022°11.0'N022°20.2'E 264.9° 0.9047°
Total BeginsU223:26:11.123:22:00.622°18.5'N006°32.9'E 275.1° 0.4067°
Greatest EclipseGreatest00:15:38.900:11:28.522°24.1'N005°24.5'W 346.8° 0.1275°
Total EndsU301:05:07.801:00:57.422°29.6'N017°22.0'W 58.6° 0.4070°
Partial EndsU402:10:27.102:06:16.722°36.8'N033°09.2'W 68.8° 0.9059°
Penumbral EndsP403:20:05.303:15:54.822°44.3'N049°58.9'W 71.8° 1.4470°
Eclipse Durations
Eclipse Phase Duration
Penumbral (P4 - P1)06h08m57.6s
Partial (U4 - U1)03h49m34.7s
Total (U3 - U2)01h38m56.7s

Explanation of Lunar Eclipse Contacts Table

Polynomial Besselian Elements: Total Lunar Eclipse of 2188 Dec 04

Polynomial Besselian Elements
2188 Dec 04 at 00:00:00.0 TD (=t0)
n x y d f1 f2 f3
0 -0.14803 0.09632 -0.3888 1.19665 0.65599 0.24923
1 0.45613 0.10680 -0.0001 0.00025 0.00025 0.00007
2 0.00017 -0.00011 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 = 0.000

Explanation of Besselian Elements

Links for the Total Lunar Eclipse of 2188 Dec 04

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 2188 Dec 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 250.4 seconds for this eclipse. The uncertainty in ΔT is 60.2 seconds corresponding to a standard error in longitude of the eclipse visibility zones of 0.25°.

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.