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The Saros cycle: obtaining eclipse periodicity from Newton's laws
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Resumo(s)
The Saros cycle has been known since antiquity and refers to the periodicity of eclipses. It is the least common multiple of three periods: the synodic, the draconic, and the anomalistic months. We show how to obtain these periods from Newton's laws with a precision greater than 0.02% using only the sidereal month and year as references.
Descrição
This work was supported by FCT/Portugal. I also would like to thank M. Souza for a careful revision of the manuscript. Copyright by the Sociedade Brasileira de Física
Palavras-chave
laws 3-body problem restricted Saros Newton's cycles eclipses precession eclipses Newton's laws Restricted 3-body problem Saros cycles