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KEPLER RHYTHM + CONJUNCTION GEOMETRY
Orbital Resonance Atlas Lab
Build a visual orbital resonance atlas with Kepler formulas, period-ratio controls, conjunction geometry, Hill-spacing diagnostics, SVG map, ephemeris CSV, conjunction CSV, Markdown notes and JSON receipt.
Reviewed 2026-06-28
MathFormula controlsOrbit SVGEphemeris CSVConjunction CSVJSON receipt
FORMULA CONTRACT
Repeating period ratios become readable only when the tool shows the diagnostics.
The atlas uses P^2 = a^3 / Mstar, outer_period = inner_period * p / q and theta = p*lambda_outer - q*lambda_inner. It then reports conjunction count, resonant angle range, mutual Hill spacing and minimum separation.