Solar Eclipse Prime Page

Partial Solar Eclipse of 1638 Dec 05

Fred Espenak

Introduction


The Partial Solar Eclipse of 1638 Dec 05 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 1638 Dec 05 at 12:36:34 TD (12:35:29 UT1). This is 6.5 days before the Moon reaches apogee. During the eclipse, the Sun is in the constellation Ophiuchus. The synodic month in which the eclipse takes place has a Brown Lunation Number of -3513.

The eclipse belongs to Saros 107 and is number 61 of 72 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 is a very deep partial eclipse. It has an eclipse magnitude of 0.3144, while Gamma has a value of -1.3768.

The partial solar eclipse of 1638 Dec 05 is followed two weeks later by a total lunar eclipse on 1638 Dec 21.

Another solar eclipse occurs one synodic month after the 1638 Dec 05 eclipse. It is the partial solar eclipse of 1639 Jan 04.

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 65.3 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 Partial Solar Eclipse of 1638 Dec 05 .


Eclipse Data: Partial Solar Eclipse of 1638 Dec 05

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.31438
Eclipse Obscuration 0.19853
Gamma-1.37678
Conjunction Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 1638 Dec 05 at 12:36:34.4 TD (12:35:29.1 UT1) 2319666.024642
Ecliptic Conjunction 1638 Dec 05 at 12:21:45.1 TD (12:20:39.8 UT1) 2319666.014350
Equatorial Conjunction 1638 Dec 05 at 12:40:43.5 TD (12:39:38.2 UT1) 2319666.027526
Geocentric Coordinates of Sun and Moon
1638 Dec 05 at 12:36:34.4 TD (12:35:29.1 UT1)
Coordinate Sun Moon
Right Ascension16h48m39.3s16h48m30.1s
Declination-22°28'18.5"-23°46'14.7"
Semi-Diameter 16'14.8" 15'28.2"
Eq. Hor. Parallax 08.9" 0°56'46.5"
Geocentric Libration of Moon
Angle Value
l 5.1°
b 1.7°
c 8.5°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 65.3 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 107 (61/72)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Partial Solar Eclipse of 1638 Dec 05

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP111:14:40.011:13:34.753°41.0'S114°46.0'W
Last External ContactP413:58:32.113:57:26.955°57.5'S096°15.8'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N111:26:36.711:25:31.448°11.4'S111°03.4'W
South Extreme Path Limit 1S113:46:34.813:45:29.650°39.4'S091°47.8'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Polynomial Besselian Elements: Partial Solar Eclipse of 1638 Dec 05

Polynomial Besselian Elements
1638 Dec 05 at 13:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 0.17158 -1.38185 -22.4704 0.56011 0.01388 17.1409
1 0.53413 -0.01417 -0.0051 0.00011 0.00011 14.9970
2 -0.00002 0.00022 0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 0.00000 - - - -
Tan ƒ1 0.0047501
Tan ƒ2 0.0047265

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 = 13.000

Explanation of Polynomial Besselian Elements

Links for the Partial Solar Eclipse of 1638 Dec 05

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 Partial Solar Eclipse of 1638 Dec 05 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 65.3 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.