I have a working planetary gear set (part of an existing mechanism), with three planets, that has gears with the following numbers of teeth:
Number of teeth on the sun (Ns) = 6
Number of teeth on the ring (Nr) = 48
Number of teeth on each planet gear (Np) = 19
From geometry, since they fit together, the Pitch Diameters of each should sum according to:
PDr = PDs + 2PDp
Since they mesh, they should all have the same Diametral Pitch, then:
Nr = Ns + 2Np (this equation is referenced in many sources).
However in this case, Ns + 2Np = 44, not 48.
Can anyone help me understand why the equation relating the number of teeth in each gear doesn't hold in this case?
Thanks!
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