Kepler's Laws of Planetary Motion

Interactive 3D simulation of planetary orbits

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Current Period: 1.0 years
Semi-major Axis: 1.0 AU
Drag to rotate view | Scroll to zoom | Adjust eccentricity to see different orbit shapes
kepler's laws
Equal Area Law Visualization

The colored sectors show equal areas swept in equal time intervals, demonstrating that the planet moves faster when closer to the Sun.

Kepler's First Law (Law of Ellipses)

Planets move in elliptical orbits with the Sun at one focus.

Kepler's Second Law

Planets move faster through wider segments (near Sun) and slower through narrower segments (far from Sun).

Kepler's Third Law (Law of Harmonies)

The square of the orbital period is proportional to the cube of the semi-major axis.