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Topic: Predicting the next Eclipse
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Posts: 129
Registered: 4/18/07
Predicting the next Eclipse
Posted: Aug 22, 2017 11:42 AM
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Here we describe a rudimentary method, using basic trigonometry, to predict lunar and solar eclipses. The purpose is to get people interested in the mathematics behind these events. We assume here that the Sun, the Earth and the Moon are just points. Thus we do not predict where on Earth eclipses take place, nor whether they are full of partial. But we derive some interesting results, such as

Solar eclipses are as frequent as lunar eclipses
On average, a solar eclipse occurs somewhere on Earth every 29 days or so
These two results should be compared and contrasted with those published here (based on a different methodology) and the reader is invited to explain the discrepancy.. Note that an eclipse occurs when the Sun, Earth, and Moon are aligned. If the Moon is between the Sun and the Earth, it is called a solar eclipse. If the Earth is between the Sun and the Moon, it is called a lunar eclipse.

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