Astronomy: Eclipses Prediction

Predict solar and lunar eclipses by analyzing eclipse seasons and moon phases, using new moons and full moons within the season to determine eclipse occurrences.

Forecast solar and lunar eclipses using the eclipse season rule, peak darkness near the maximum, and distance-based types such as total, annular, hybrid, and partial.

advance to step 3 in eclipse prediction by estimating the time of greatest eclipse near the moon’s peak; evaluate accuracy against 2020 eclipse times and practice predicting 2020–2021 events.

Predict lunar eclipse visibility using the visibility map and view from the moon method, illustrated by 5 June 2020, showing Africa, Europe, Asia, Australia as visible regions.

Understand the ecliptic and how it guides predicting solar and lunar eclipses, with basics on sun and moon motion, equinoxes, solstices, and the moon’s path around ascending and descending nodes.

Learn to predict lunar eclipses by analyzing the moon’s position at ascending or descending nodes relative to the ecliptic, and consider solstice and equinox timings for peak events.

Learn how the moon's shadow travels west to east for solar eclipses, with local variations from ascending and descending nodes, ecliptic alignment, and predicted visibility areas on Earth.

Learn to distinguish ecliptic conjunction from the time of greatest eclipse and adjust timing by moon position, using solar and lunar examples from 2021 and 2020.

Develop an Excel-based method to compute the ecliptic longitudes of the sun, moon, and their nodes, then use these values to identify new moons, full moons, and eclipse seasons.

Learn to use an excel sheet to predict solar and lunar eclipses by tracking sun nodes, moon phases, and eclipse timing with a trial-and-error method.

Explore how gamma measures the distance between the shadow axis and the eclipse body to predict central or noncentral solar and lunar eclipses, and how magnitude indicates coverage.

Predict eclipses using three methods: approximate manual, semi-automatic, and fully automatic, by analyzing eclipse seasons, moon phases, gamma and magnitude, and differentiating eclipse types and contacts.

Gather information using the manual method to predict solar and lunar eclipses by tracking sun ascending and descending nodes and moon phases, including new and full moons.

Discover how to use the semi automatic method to extract eclipse seasons and moon phases from an Excel sheet and perform manual predictions of solar and lunar eclipses.

Predict the June 1, 2013 solar eclipse using a manual method, confirming eclipse season, nature of the eclipse with umbra and dark, timing uncertainties, and comparing with NASA predictions.

Predict lunar eclipse on June 16, 2013 using manual method, from eclipse confirmation to gamma, magnitude, and comparison with NASA predictions for project II.

Using a manual method, this project predicts a solar eclipse during eclipse season, discusses ecliptic and ascending node geometry, and estimates timing, darkness, and visibility with rough results.

Predicts the lunar eclipse of 10 December 2030 using a manual method, confirming a phenomenal eclipse within 17 days of the peak. Explains gamma, magnitude, and shadow geometry.

Predict the 2030 solar eclipse using a semi automatic method, an Excel sheet, time of greatest eclipse at 6:28 ut, and visibility plus gamma and magnitude assessment.

Apply a semi automatic method to predict lunar eclipse, confirming a partial eclipse on June 15, 2013, with sun at descending node, moon at ascending node, ecliptic alignment, and visibility.

Use a semi automatic method to predict solar eclipses, determining conjunction times, visibility areas, and eclipse type (total, analog, or hybrid) for the November 5, 2030 event.

Predict the December 10, 2030 lunar eclipse using the semi automatic method and an excel sheet, analyzing full moon timing, nodes, visibility regions, and eclipse gamma and magnitude.

Use an automatic method in Excel to compute the Sun–Moon angular separation (elongation) from Earth, solve a triangle with cosine and sine rules, and estimate eclipse probability with gamma thresholds.

Compute the depth and radius of the Moon's umbra and the Moon's penumbra using similar triangles, derive angular radius, and classify total, annular, partial, and hybrid eclipses.

Apply the automatic method to calculate lunar eclipse parameters by using similar triangles to relate Earth's umbra and penumbra radii to the sun-earth-moon geometry, substituting Earth's radius for the Moon's.

Compute the angular radii and separations of Earth, Moon, and Sun to determine umbra and penumbra conditions, predicting potential solar or lunar eclipses.

Explain how to determine if the Moon lies in Earth's umbra or penumbra using angular radius, separation, and shadow radii, and show no eclipse on this date.

Calculate the lunar eclipse magnitude from the moon's diameter, separation, and the radii of Earth's umbra and penumbra, verifying partial, total, and penumbral cases, and enabling Excel-based prediction.

Compute the greatest eclipse location and time by evaluating the moon's shadow axis relative to Earth, using distances and Pythagoras. Determine hybrid, total, annular, partial, or penumbral eclipses in Excel.

Understand how to classify eclipses and calculate magnitudes: total, annular, central or noncentral (including hybrids), using the maximum magnitude as the moon's apparent diameter divided by the sun's.

Refine an automatic eclipse prediction method in Excel, focusing on lunar eclipses, fix bugs that compute solar and lunar events, and add display of eclipse type, total, annular, and hybrid.

In project i, use semi automatic and automatic methods in Excel to predict the solar eclipse, determine the greatest eclipse time, gamma, magnitude, and the penumbra and umbra contacts.

Compute lunar eclipse parameters for 15 June 2013 using a semi-automatic method in Excel, deriving gamma, magnitude, and external contacts of penumbra and umbra.

Calculate the solar eclipse parameters for November 25, 2030 using the automatic method in Excel, including magnitude and gamma, and determine internal and external contacts of the penumbra and umbra.

Calculate and verify the 9 December 2013 lunar eclipse parameters using semi-automatic and automatic methods, comparing gamma, magnitude, penumbra, and external contacts with NASA predictions.