Solar System from First Principles — N-Body Eclipse Prediction

SIMULATION CLOCK

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EARTH–MOON SHADOW GEOMETRY

Sun–Moon separation (geocentric)—

Shadow-axis miss distance—

PREDICTED SOLAR ECLIPSES

None yet — let the physics run, or press “Predict next eclipse”.

THE ONLY RULE IN THE LOOP

aᵢ = Σⱼ G mⱼ (rⱼ − rᵢ) / |rⱼ − rᵢ|³

Initial positions & velocities are seeded once from standard ephemerides at the start epoch. After that the integrator knows nothing about orbits or eclipses — when the Moon's shadow cone sweeps the Earth, that's Newton, not a lookup table.

Relative energy drift—

Integrated so far—