The Saros cycle: obtaining eclipse periodicity from Newton's laws

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Abstract

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.
Original languageEnglish
Article number1303
JournalRevista Brasileira De Ensino De Fisica
Volume31
Issue number1
DOIs
Publication statusPublished - Mar 2009

Keywords

  • eclipses
  • Newton's laws
  • Restricted 3-body problem
  • Saros cycles

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