Loci in Epicyclic Gearing

r: pitch diameter of the fixed sun gear with external teeth.
R: pitch diameter of the planetary gear with internal teeth
k = R/r = 1.5
Loci of various points on the planetary gear are shown.
The red is for a point on the pitch circle of the planetary gear.
1 cycle of the mechanism corresponds 3 revolutions of the input crank.

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