Fergusons Paradox of Gear Drive

Input: blue carrier.
Output: green gear.
Zf: tooth number of stationary grey gear. Here Zf = 40.
Zs: tooth number of the green gear. Here Zg = 39.
Transmission ratio i = (Zf – Zg)/Zg. Here i = 1/39
The center distances between yellow gear and other large gears are the same despite the slightly different pitch diameters of each large gear. The “paradox” results from that.
The mechanism helps reduce velocity effectively.
Disadvantage: impossible to arrange more planet gears for force balancing the carrier.