Solar Eclipse Prime Page

Annular Solar Eclipse of 1957 Apr 30

Fred Espenak

Introduction


The Annular Solar Eclipse of 1957 Apr 30 is visible from the following geographic regions:

  • Partial Eclipse: east Asia, northwest North America
  • Annular Eclipse: north Russia

The map to the right depicts the geographic regions of eclipse visibility. 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 1957 Apr 30 at 00:05:28 TD (00:04:56 UT1). This is 6.1 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 425.

The eclipse belongs to Saros 118 and is number 65 of 72 eclipses in the series. All eclipses in this series occur at the Moon’s descending node. The Moon moves northward with respect to the node with each succeeding eclipse in the series and gamma increases.

This annular eclipse is very unusual in that it is NON-CENTRAL and does NOT have a central line nor a northern path limit. Instead , over half of the antumbral shadow falls off into space throughout the eclipse. Gamma has a value of 0.9992.

The annular solar eclipse of 1957 Apr 30 is followed two weeks later by a total lunar eclipse on 1957 May 13.

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 32.0 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 1957 Apr 30 .


Eclipse Data: Annular Solar Eclipse of 1957 Apr 30

Eclipse Characteristics
Parameter Value
Eclipse Magnitude 0.97988
Eclipse Obscuration -
Gamma 0.99918
Conjunction Times
Event Calendar Date & Time Julian Date
Greatest Eclipse 1957 Apr 30 at 00:05:27.8 TD (00:04:55.8 UT1) 2435958.503424
Ecliptic Conjunction 1957 Apr 29 at 23:54:18.0 TD (23:53:46.0 UT1) 2435958.495671
Equatorial Conjunction 1957 Apr 30 at 00:31:13.8 TD (00:30:41.8 UT1) 2435958.521317
Geocentric Coordinates of Sun and Moon
1957 Apr 30 at 00:05:27.8 TD (00:04:55.8 UT1)
Coordinate Sun Moon
Right Ascension02h27m57.4s02h27m05.4s
Declination+14°37'21.8"+15°32'09.0"
Semi-Diameter 15'52.5" 15'22.0"
Eq. Hor. Parallax 08.7" 0°56'23.9"
Geocentric Libration of Moon
Angle Value
l -5.0°
b -1.2°
c -20.1°
Prediction Paramaters
Paramater Value
Ephemerides JPL DE406
ΔT 32.0 s
k (penumbra) 0.2725076
k (umbra) 0.2722810
Saros Series 118 (65/72)

Explanation of Solar Eclipse Data Tables

Penumbral Shadow Contacts and Extremes: Annular Solar Eclipse of 1957 Apr 30

Contacts of Penumbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactP121:50:57.621:50:25.726°16.6'N114°19.8'E
Last External ContactP402:19:40.202:19:08.350°38.9'N106°53.2'W
Extreme Northern and Southern Path Limits of Penumbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N122:17:46.322:17:14.313°16.4'N111°29.3'E
South Extreme Path Limit 1S101:52:55.901:52:24.038°06.1'N106°58.0'W

Non-Central Annular Solar Eclipse

Explanation of Penumbral Shadow Contacts and Extremes Tables

Umbral Shadow Contacts and Extremes: Annular Solar Eclipse of 1957 Apr 30

Contacts of Umbral Shadow with Earth
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
First External ContactU123:51:50.223:51:18.365°40.8'N056°14.6'E
Last External ContactU400:18:44.000:18:12.074°10.3'N017°47.3'E
Extreme Northern and Southern Path Limits of Umbra
Contact Event Contact Time
TD
Time
UT1
Latitude Longitude
North Extreme Path Limit 1N123:51:53.123:51:21.165°39.3'N056°16.7'E
South Extreme Path Limit 1S100:18:41.100:18:09.174°11.0'N017°41.9'E

Non-Central Annular Solar Eclipse

Explanation of Umbral Shadow Contacts and Extremes Tables

Non-Central Annular Solar Eclipse

Explanation of Central Line Extremes Table

Non-Central Annular Solar Eclipse

Polynomial Besselian Elements: Annular Solar Eclipse of 1957 Apr 30

Polynomial Besselian Elements
1957 Apr 30 at 00:00:00.0 TD (=t0)
n x y d l1 l2 μ
0 -0.26986 0.96326 14.6192 0.55541 0.00921 180.6848
1 0.51843 0.11853 0.0126 -0.00012 -0.00011 15.0027
2 0.00005 -0.00013 -0.0000 -0.00001 -0.00001 -0.0000
3 -0.00001 -0.00000 - - - -
Tan ƒ1 0.0046414
Tan ƒ2 0.0046183

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 Polynomial Besselian Elements

Links for the Annular Solar Eclipse of 1957 Apr 30

Links to Additional Solar Eclipse Information

Eclipse Predictions

Predictions for the Annular Solar Eclipse of 1957 Apr 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 32.0 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.