Solar Eclipse Prime Page
Annular Solar Eclipse of 1957 Apr 30
Fred Espenak
Key to Solar Eclipse Figure (below)
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 31.8 seconds for this eclipse.
The following links provide maps and data for the eclipse.
- Orthographic Map: Annular Solar Eclipse of 1957 Apr 30 - detailed global map of eclipse visibility (Key to Figure)
- Google Map: Annular Solar Eclipse of 1957 Apr 30 - interactive map of the eclipse path
- Circumstances Table: Annular Solar Eclipse of 1957 Apr 30 - eclipse times for hundreds of cities
- Saros 118 Table - data for all eclipses in the Saros series
- Additional Tables and Data - for this event
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 and Time | Julian Date |
| Greatest Eclipse | 1957 Apr 30 at 00:05:27.8 TD (00:04:56.0 UT1) | 2435958.503425 |
| Ecliptic Conjunction | 1957 Apr 29 at 23:54:18.0 TD (23:53:46.1 UT1) | 2435958.495673 |
| Equatorial Conjunction | 1957 Apr 30 at 00:31:13.8 TD (00:30:42.0 UT1) | 2435958.521319 |
| Geocentric Coordinates of Sun and Moon | ||
| 1957 Apr 30 at 00:05:27.8 TD (00:04:56.0 UT1) | ||
| Coordinate | Sun | Moon |
| Right Ascension | 02h27m57.4s | 02h27m05.4s |
| 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 Parameters | |
| Paramater | Value |
| Ephemerides | JPL DE405 |
| ΔT | 31.8 s |
| k (penumbra) | 0.2725076 |
| k (umbra) | 0.2722810 |
| Saros Series | 118 (65/72) |
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 Contact | P1 | 21:50:57.6 | 21:50:25.8 | 26°16.6'N | 114°19.8'E |
| Last External Contact | P4 | 02:19:40.2 | 02:19:08.4 | 50°38.9'N | 106°53.2'W |
| Extreme Northern and Southern Path Limits of Penumbra | |||||
| Contact Event | Contact | Time TD |
Time UT1 |
Latitude | Longitude |
| North Extreme Path Limit 1 | N1 | 22:17:46.3 | 22:17:14.5 | 13°16.4'N | 111°29.3'E |
| South Extreme Path Limit 1 | S1 | 01:52:55.9 | 01:52:24.1 | 38°06.1'N | 106°58.1'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 Contact | U1 | 23:51:50.2 | 23:51:18.4 | 65°40.8'N | 056°14.6'E |
| Last External Contact | U4 | 00:18:44.0 | 00:18:12.1 | 74°10.3'N | 017°47.2'E |
| Extreme Northern and Southern Path Limits of Umbra | |||||
| Contact Event | Contact | Time TD |
Time UT1 |
Latitude | Longitude |
| North Extreme Path Limit 1 | N1 | 23:51:53.1 | 23:51:21.3 | 65°39.3'N | 056°16.7'E |
| South Extreme Path Limit 1 | S1 | 00:18:41.1 | 00:18:09.2 | 74°11.0'N | 017°41.8'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
Links for the Annular Solar Eclipse of 1957 Apr 30
- Orthographic Map: Annular Solar Eclipse of 1957 Apr 30 - detailed global map of eclipse visibility (Key to Figure)
- Google Map: Annular Solar Eclipse of 1957 Apr 30 - interactive map of the eclipse path
- Circumstances Table: Annular Solar Eclipse of 1957 Apr 30 - eclipse times for hundreds of cities
- Saros 118 Table - data for all eclipses in the Saros series
- Annular Solar Eclipse of 1957 Apr 30 - Google search for links to this eclipse
Links to Additional Solar Eclipse Information
- Home - home page of EclipseWise with predictions for both solar and lunar eclipses
- Solar Eclipses - primary page for solar eclipse predictions
- Solar Eclipse Links - detailed directory of links
- Solar Eclipse Basics - the fundamentals about solar eclipses
- Periodicity of Solar Eclipses - eclipse seasons, Saros and Inex
- Solar Eclipses and the Saros - details on the Saros cycle
- Solar Eclipse Predictions and the Mean Lunar Radius
• Decade Tables of Solar Eclipses:
|
1901 - 1910 |
1911 - 1919 |
1921 - 1930 |
1931 - 1940 |
1941 - 1950 |
|
1951 - 1960 |
1961 - 1970 |
1971 - 1980 |
1981 - 1990 |
1991 - 2000 |
|
2001 - 2010 |
2011 - 2020 |
2021 - 2030 |
2031 - 2040 |
2041 - 2050 |
|
2051 - 2060 |
2061 - 2070 |
2071 - 2080 |
2081 - 2090 |
2091 - 2100 |
- Six Millennium Catalog of Solar Eclipses - covers the years -2999 to +3000 (3000 BCE to 3000 CE)
- Global Map Animations of Solar Eclipses: 2001 - 2100 - animated maps of every solar eclipse of the 21st Century
- Saros Catalog of Solar Eclipses - covers Saros series -30 through 190
- World Atlas of Solar Eclipse Maps - index page
- Solar Eclipse Search Engine - search for solar eclipses from -1999 to +3000
- Javascript Solar Eclipse Explorer - calculate all solar eclipses visible from a city
- MrEclipse.com - Eclipse resources and tips on photography
- MrEclipse: Solar Eclipses for Beginners - a primer on solar eclipse basics
- How to Photograph a Solar Eclipse - instructions for imaging an eclipse of the Sun
- MrEclipse Photo Index - an index of solar eclipse photographs
Solar Eclipse Publications
- Eclipse Almanac: 2021 to 2030 - overview of all solar and lunar eclipses for the decade
- 21st Century Canon of Solar Eclipses - coveres every solar eclipse from 2001 through 2100
- Thousand Year Canon of Solar Eclipses 1501 to 2500 - basic details about every solar eclipse for 1000 years
- Five Millennium Canon of Solar Eclipses: -1999 to +3000 - the ultimate reference with maps and diagrams
- Five Millennium Catalog of Solar Eclipses: -1999 to +3000 - the ultimate reference containing comprehensive tables
- Atlas of Central Solar Eclipses in the USA - 2,000 years of solar eclipses through North America
- Road Atlas of the Annular Solar Eclipse of 2023 October 14 - detailed maps of the annular eclipse path
- Road Atlas of the Total Solar Eclipse of 2024 April 08 - detailed maps of the total eclipse path
Eclipse Predictions
Predictions for the Annular Solar Eclipse of 1957 Apr 30 were generated using the JPL DE405 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 31.8 seconds for this eclipse.
Acknowledgments
Some of the content on this website is based on the books 21st Century Canon of Solar Eclipses and 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 concealed.