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Epicyclic gear train: sun/planet/ring ratio, geometry, RPM and torque.
Epicyclic (planetary) gear calculator for sun, planet, and ring teeth, drive-mode ratio, RPM, and torque. Planetary Gear Calculator sizes a single-stage sun–planet–ring set. Enter tooth counts and planet number, pick the fixed, input, and output members, and read ratio, output RPM, and output torque. A scaled drawing animates the gearset so you can check mesh, spacing, and motion before you cut teeth or print parts. RATIO, GEOMETRY & DRIVE MODES • Transmission ratio (ω_in / ω_out) for each drive mode • Output RPM and torque from input speed, torque, and efficiency • Reducer, overdrive, reverse, or 1:1 character of the selected mode • Pitch diameters and sun–planet center distance from module or diametral pitch • Mesh, equal planet spacing, and tip-clearance checks • Lock any two members’ teeth and solve the third WHO IT IS FOR • Engineers laying out a compact coaxial reduction or overdrive • Students and labs learning Willis / epicyclic drive modes • Hobby and 3D-print builders checking that a sun–planet–ring set actually meshes WHY THIS PLANETARY CALCULATOR People look up a planetary gear calculator, epicyclic gear calculator, or sun-and-planet gear ratio tool for the same job: three members, one carrier, a usable ratio. • Live planetary visualization with animation • Saved setups to reuse later • Display precision you control • Runs on the device — works offline • One-time purchase — no ads, no subscription From Engineering Kit, publisher of Belt & Pulley Calculator, Chain & Sprocket Calculator, and other mechanism tools. This app models a simple single-stage planetary (epicyclic) gearset. It is not an ISO/AGMA strength rating, a multi-stage gearbox designer, or a compound-planet catalog.