Solar Eclipse Prime Page

Partial Solar Eclipse of 1613 Apr 20

Fred Espenak

Introduction

eclipse map


The Partial Solar Eclipse of 1613 Apr 20 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 1613 Apr 20 at 02:49:28 TD (02:47:45 UT1). This is 2.1 days after the Moon reaches apogee. During the eclipse, the Sun is in the constellation Aries. The synodic month in which the eclipse takes place has a Brown Lunation Number of -3830.

The eclipse belongs to Saros 103 and is number 69 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 0.3839, while Gamma has a value of -1.3388.

The partial solar eclipse of 1613 Apr 20 is followed two weeks later by a total lunar eclipse on 1613 May 04.

Another solar eclipse occurs one synodic month after the 1613 Apr 20 eclipse. It is the partial solar eclipse of 1613 May 19.

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 102.7 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 Partial Solar Eclipse of 1613 Apr 20 .


Eclipse Data: Partial Solar Eclipse of 1613 Apr 20

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.38394
Eclipse Obscuration 0.26270
Gamma-1.33883
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse 1613 Apr 20 at 02:49:27.6 TD (02:47:44.9 UT1) 2310305.616491
Ecliptic Conjunction 1613 Apr 20 at 02:33:53.9 TD (02:32:11.2 UT1) 2310305.605685
Equatorial Conjunction 1613 Apr 20 at 01:31:23.7 TD (01:29:40.9 UT1) 2310305.562279
Geocentric Coordinates of Sun and Moon
1613 Apr 20 at 02:49:27.6 TD (02:47:44.9 UT1)
Coordinate Sun Moon
Right Ascension01h51m40.5s01h53m50.5s
Declination+11°30'09.8"+10°25'15.2"
Semi-Diameter 15'53.3" 14'45.6"
Eq. Hor. Parallax 08.7" 0°54'10.2"
Geocentric Libration of Moon
Angle Value
l -2.0°
b 1.6°
c -19.0°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 102.7 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 103 (69/72)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Partial Solar Eclipse of 1613 Apr 20

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP101:13:46.201:12:03.477°32.4'S138°30.5'E
Last External ContactP404:25:37.704:23:55.031°56.0'S163°36.4'W
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N101:39:37.601:37:54.872°49.3'S106°18.9'E
South Extreme Path Limit 1S103:59:48.603:58:05.924°02.2'S155°03.9'W

Explanation of Penumbral Shadow Contacts and Extremes Tables

Polynomial Besselian Elements: Partial Solar Eclipse of 1613 Apr 20

Polynomial Besselian Elements
1613 Apr 20 at 03:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 0.67173 -1.16154 11.5081 0.56730 0.02104 225.3213
1 0.45489 0.22416 0.0137 -0.00005 -0.00005 15.0035
2 0.00001 -0.00001 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046460
Tan ƒ2 0.0046229

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 = 3.000

Explanation of Polynomial Besselian Elements

Links for the Partial Solar Eclipse of 1613 Apr 20

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 1613 Apr 20 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 102.7 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.