Babylonian Linear Zigzag Model for Lunar Velocity and Saros Eclipse Prediction — E8 Intelligence Research

FINDING: Babylonian lunar velocity model uses a linear zigzag function (piecewise linear periodic approximation) to predict the Moon's anomalistic motion, encoded in base-60 sexagesimal fractions, enabling Saros cycle eclipse prediction. MATH: - Zigzag function: \( v(t) = v_0 ± Δ v · (t P) \), where \( v_0 \) is mean velocity, \( Δ v \) is constant slope, \( P \) is period (anomalistic month ≈ 27.55455 days). - Saros cycle: 223 synodic months ≈ 6585.3211 days ≈ 18 years 11 days 8 hours. - Base-60 constants: e.g., daily lunar velocity range ~13°10'35" to 11°4' (sexagesimal). - Ratio of synodic to anomalistic month: 29.53059 / 27.55455 ≈ 1.0717 (not a golden ratio, but a rational approximation in base-60). CONNECTION: - The zigzag function's linear segments approximate a sinusoidal variation; the ratio of maximum to minimum velocity (13.176° to 11.067°) ≈ 1.191, not directly a harmonic ratio. However, the Saros cycle length 6585.3211 days / 360° ≈ 18.2 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com