Patent ID: 8328677

Claim:
A planetary gearing system, comprising: a ring gear comprising a first plurality of cylindrical tooth forms arrayed in a ring gear pitch on a ring gear radius from a central axis, each of the first plurality of cylindrical tooth forms having a common ring gear cylindrical form diameter; at least one planetary sprocket encompassed by the ring gear and comprising a plurality of sprocket teeth arrayed outward along a sprocket radius from a central sprocket axis in a sprocket tooth pitch and having a common involute gear shape, the at least one planetary sprocket positioned for the sprocket teeth to engage the ring gear cylindrical tooth forms; a sun driver encompassed by the ring gear and comprising a second plurality of cylindrical tooth forms arrayed in a sun gear pitch less than the ring gear pitch on a sun gear radius from the central axis less than the ring gear radius, each of the second plurality of cylindrical tooth forms having a common sun gear cylindrical form diameter, the sun gear cylindrical tooth forms positioned to engage the sprocket teeth; and wherein the at least one planetary sprocket is aligned for engagement of a specified at least one of the plurality of the sun gear cylindrical tooth forms and the plurality of the ring gear cylindrical tooth forms by the sprocket teeth at a contact radius from the central axis selected as a function of the sprocket tooth common involute gear shape, the sprocket radius, the sprocket tooth pitch, and of the pitch, gear radius and cylindrical form diameter of the selected at least one plurality of gear cylindrical tooth forms.