Solar Eclipse Prime Page

Annular Solar Eclipse of 2158 Jan 30

Fred Espenak

Introduction

eclipse map


The Annular Solar Eclipse of 2158 Jan 30 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 2158 Jan 30 at 08:54:37 TD (08:51:16 UT1). This is 4.9 days before the Moon reaches perigee. During the eclipse, the Sun is in the constellation Capricornus. The synodic month in which the eclipse takes place has a Brown Lunation Number of 2908.

The eclipse belongs to Saros 143 and is number 31 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.

The annular solar eclipse of 2158 Jan 30 is preceded two weeks earlier by a penumbral lunar eclipse on 2158 Jan 14.

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 200.5 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 Annular Solar Eclipse of 2158 Jan 30 .


Eclipse Data: Annular Solar Eclipse of 2158 Jan 30

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.98635
Eclipse Obscuration 0.97289
Gamma 0.26195
Conjunction Times
Event Calendar Date and Time Julian Date
Greatest Eclipse 2158 Jan 30 at 08:54:36.7 TD (08:51:16.2 UT1) 2509282.868937
Ecliptic Conjunction 2158 Jan 30 at 08:57:28.9 TD (08:54:08.4 UT1) 2509282.870931
Equatorial Conjunction 2158 Jan 30 at 09:05:53.3 TD (09:02:32.8 UT1) 2509282.876768
Geocentric Coordinates of Sun and Moon
2158 Jan 30 at 08:54:36.7 TD (08:51:16.2 UT1)
Coordinate Sun Moon
Right Ascension20h51m31.2s20h51m08.0s
Declination-17°36'36.0"-17°22'31.1"
Semi-Diameter 16'14.4" 15'46.2"
Eq. Hor. Parallax 08.9" 0°57'52.6"
Geocentric Libration of Moon
Angle Value
l -5.0°
b -0.3°
c -14.1°
Prediction Parameters
Paramater Value
Ephemerides JPL DE406
ΔT 200.5 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 143 (31/72)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2158 Jan 30

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP106:06:05.206:02:44.711°09.7'S001°02.9'W
First Internal ContactP208:15:01.908:11:41.414°02.9'N025°07.7'W
Last Internal ContactP309:33:56.509:30:36.053°43.7'N104°58.1'E
Last External ContactP411:42:57.011:39:36.529°39.8'N087°56.3'E
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N107:44:57.807:41:37.331°35.9'N010°54.0'W
South Extreme Path Limit 1S107:17:25.307:14:04.836°11.8'S028°43.9'W
North Extreme Path Limit 2N210:03:44.310:00:23.867°45.5'N072°16.4'E
South Extreme Path Limit 2S210:31:56.810:28:36.304°29.5'N114°39.5'E

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 2158 Jan 30

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactU107:07:31.407:04:10.906°02.7'S014°44.3'W
First Internal ContactU207:09:27.907:06:07.405°47.5'S015°08.6'W
Last Internal ContactU310:39:40.410:36:19.934°54.7'N101°22.2'E
Last External ContactU410:41:31.010:38:10.534°40.6'N101°01.3'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N107:08:36.707:05:16.205°26.4'S014°49.0'W
South Extreme Path Limit 1S107:08:22.907:05:02.406°23.9'S015°04.0'W
North Extreme Path Limit 2N210:40:28.810:37:08.335°14.2'N101°00.6'E
South Extreme Path Limit 2S210:40:42.410:37:21.934°21.0'N101°22.9'E

Explanation of Umbral Shadow Contacts and Extremes Tables

Central Line Extremes and Duration: Annular Solar Eclipse of 2158 Jan 30

Extreme Limits of the Central Line
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
Extreme Central Line Limit 1C107:08:29.707:05:09.205°55.2'S014°56.5'W
Extreme Central Line Limit 2C210:40:35.810:37:15.234°47.6'N101°11.8'E

Explanation of Central Line Extremes Table

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse08:54:36.708:51:16.203°26.0'S044°05.5'E 74.8° 159.6° 49.8 km01m26.87s
Greatest Duration07:08:29.707:05:09.205°55.2'S014°56.5'W 0.0° 107.7° 109.5 km01m55.66s

Explanation of Greatest Eclipse and Greatest Duration

Polynomial Besselian Elements: Annular Solar Eclipse of 2158 Jan 30

Polynomial Besselian Elements
2158 Jan 30 at 09:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.04986 0.26179 -17.6096 0.55453 0.00833 311.7661
1 0.50810 0.19895 0.0110 -0.00013 -0.00012 14.9996
2 -0.00002 0.00010 0.0000 -0.00001 -0.00001 0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0047479
Tan ƒ2 0.0047243

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 = 9.000

Explanation of Polynomial Besselian Elements

Links for the Annular Solar Eclipse of 2158 Jan 30

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 Annular Solar Eclipse of 2158 Jan 30 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 200.5 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.