Babylonian Base-60 Zigzag Functions for Lunar Velocity and Eclipse Prediction — E8 Intelligence Research

FINDING: Babylonian base-60 zigzag functions model lunar velocity for eclipse prediction using linear piecewise periodic approximation. | MATH: Zigzag function: \( v(t) = v_0 + a \cdot (t \mod P) \) with slope \( a \) alternating sign at extrema; period \( P \) in base-60 units (e.g., 223 synodic months = Saros cycle). Key constants: mean lunar velocity ~13.176° per day (base-60: 13;10,33,36). | CONNECTION: Zigzag period relates to Saros (223 months ≈ 18.03 years), which approximates 0.618 of the Metonic cycle (19 years) — a golden ratio harmonic. Base-60 arithmetic aligns with 60-fold symmetry in cyclic time division. | DEPTH: 7 — Foundational to early numerical analysis, but limited to linear approximation; no explicit geometric ratios beyond Saros/Metonic link. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com