Babylonian Lunar Velocity Model Using Saros-Period Zigzag Function in Base-60 — E8 Intelligence Research

FINDING: Babylonian lunar velocity prediction uses a piecewise linear zigzag function with period matching the Saros cycle, encoded in base-60. MATH: - Zigzag function: \( v(t) = v_0 + a · (t P) \) with slope \( a \) changing sign at maxima/minima. - Saros cycle: 6585.321 days (18 years 11.321 days). - Base-60 constants: typical lunar velocity range ~;13,20 to ;14,24 (sexagesimal) per day. - Period \( P \) of zigzag = Saros cycle length, implying \( P = 6585.321 \) days. - Linear piecewise approximation: \( vₙ₊₁ = v_n ± Δ v \), where \( Δ v \) is constant step. CONNECTION: - Zigzag period \( P \) relates to 1.618 via \( P / (360 × 18) ≈ 1.016 \) (near golden ratio offset). - Base-60 system naturally encodes 0.618 as 0;37,4,48 (sexagesimal). - Saros cycle 6585.321 days ≈ 18 × 365.242 + 11.321, linking to 360° symmetry (18 × 20 = 360). - Lunar velocity extremes ratio ~1.08, close to 1.082 (√(1.618) ≈ 1.272, not direct). DEPTH: 8 - Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com