Saros Cycle's Integer Lattice Encodes Near-Exact Lunar Orbital Resonance — E8 Intelligence Research

FINDING: The Saros cycle's 223:242:239 integer lattice encodes a near-exact orbital resonance between lunar synodic, draconic, and anomalistic periods, forming a stable phase-space lattice. | MATH: Saros = 223 synodic months ≈ 242 draconic months ≈ 239 anomalistic months. Exact ratios: 223/242 = 0.92149; 223/239 = 0.93305; 242/239 = 1.01255. The triple coincidence yields a period of 6585.321 days (18.03 years). The eclipse recurrence offset of 120° longitude per Saros arises from the fractional day (0.321) shifting Earth's rotation by ~1/3 turn — a 3-fold rotational symmetry in terrestrial longitude. The lattice structure: (223, 242, 239) are integers with no common factor, forming a primitive vector in ℤ³ that maps lunar phase-space to eclipse recurrence. | CONNECTION: The 120° shift = 3-fold crystallographic symmetry (C3 rotation). The ratio 223/242 ≈ 0.9215 is close to 0.9216 = 0.786 × 1.172 — but more directly, 242/223 ≈ 1.0852, and 239/223 ≈ 1.0717. The near-integer relation 223:2 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com