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Loci in Epicyclic gearing A3

R: pitch diameter of the fixed sun gear

r: pitch diameter of the planetary gear

k = R/r = 3

Loci of various points on the planetary gear are shown.

The red is for a point on the pitch circle of the planetary gear.

It is a special hypocycloid: deltoid. The two other loci are hypotrochoid.

1 cycle of the mechanism corresponds 1 revolution of the input crank.

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