Mathematical analysis demonstrates that the Saros cycle forms a primitive three-dimensional integer lattice vector, highlighting near-exact resonance across lunar orbital periods.
Here's the narration for a MERLIN SCIENCE video, written in plain spoken prose for working scientists. --- The Saros cycle is not just an eclipse calendar. It is a primitive integer vector in three-dimensional space, and that vector encodes a near-exact orbital resonance between the Moon's synodic, draconic, and anomalistic periods. That is the finding in one sentence. You know the Saros as the 18-year cycle that repeats eclipses. But look at the numbers underneath: 223 synodic months, 242 draconic months, 239 anomalistic months. These three integers share no common factor. That makes them a primitive lattice point in Z cubed. The triple is not a golden ratio, and it is not a simple harmonic. But it is a lattice resonance, and the lattice has real geometric teeth. Here is the mechanism you can evaluate. Take 223 over 242, 223 over 239, and 242 over 239. Those ratios are not equal, but they are close enough that the triple returns to nearly the same phase after 6585.321 days. The fr Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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