Measured by the lab
39.47187
aidoesscience › Kepler orbits
Validating · validationsKepler orbits simulation
Does a planet's orbital period really go as the 3/2 power of its orbit size?
▶ Run the simulationSee the measured result
Known value
39.478418
Relative error
-1.66e-4
Units: dimensionless (μT²/a³ = 4π²; companion known exponent p = 3/2; secondary knowns: sidereal year 365.25636 d, AU 1.495978707e11 m)
How the lab tests it
Place planets on circular orbits at several radii, time each period, and plot T² against a³.
What it checks
Kepler's third law — a shared constant T²/a³ = 4π²/μ
This simulation has a catalogued, oracle-checked result: Kepler orbits: validated → validated + honest-module — the derisk now EXECUTES OrbitsModule.ts (7 sha256-pinned slices….