Planetary Gear Calculator

Planetary Gears Calculator calculate the gear teeth and gear speed of planetary gears system.
Plus quickly simulate how the Planetary Gears works on the fly.

This is a great tool, especially for DIYer who want to design their own Planetary Gears System quick and easy.
Preview how these systems work before 3D print own planetary gear system.


Formula for Planetary gear systems:
Sun Teeth = ringTeeth - 2 * planetTeeth
Planet Teeth = (ringTeeth - sunTeeth) / 2
Ring Teeth = sunTeeth + 2 * planetTeeth

ST = sunTeeth
PT = planetTeeth
RT = ringTeeth
SunSpeed = (ST+RT)/ST * PlanetCarrierSpeed - RT/ST * RingSpeed
PlanetCarrierSpeed = RT/(ST+RT) * RingSpeed + ST/(ST+RT) * SunSpeed
RingSpeed = (ST+RT)/RT * PlanetCarrierSpeed - ST/RT * SunSpeed


Planetary gear systems, also known as epicyclic gear systems, are important components in modern engineering.

Planetary gear systems are useful for speed variation and commonly found from automatic car transmissions and industrial food mixers to operating tables and solar arrays.

There are four core components that make up the planetary gear systems, the ring gear, the sun gear and the planetary gears connected to the carrier.

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