Patent ID: 8562481

Claim:
A planetary gearing system, comprising: a ring gear comprising a plurality of generally cylindrical or elliptical tooth forms arrayed in a ring gear pitch on a ring gear radius from a central axis, each of the ring gear tooth forms having common ring gear shape and geometric parameters; at least one planetary gear encompassed by the ring gear and comprising a plurality of tooth forms arrayed outward along a planetary gear radius from a central planetary gear axis in a planetary gear tooth pitch and having a common tooth form gear shape and geometric parameters, the at least one planetary gear positioned for the planetary gear tooth forms to operatively engage the ring gear tooth forms in a mesh; and a sun driver encompassed by the ring gear and comprising a plurality of tooth forms arrayed in a sun gear pitch less than the ring gear pitch and a sun gear radius from the central axis that is less than the ring gear radius, each of the sun gear tooth forms having a common sun gear tooth form shape and geometric parameters and positioned to operatively engage the planetary gear tooth forms in a mesh; wherein the sun gear tooth form shape and geometric parameters are defined to form the mesh engagement with the at least one planetary gear tooth forms when aligned for engagement at a sun gear contact radius from the central axis as a function of the planetary gear generally cylindrical or elliptical tooth form shape and geometric parameters, the planetary gear radius and the planetary gear tooth pitch; and wherein the ring gear generally cylindrical or elliptical tooth form shape and geometric parameters are defined to form the mesh engagement with the at least one planetary gear tooth form when aligned for engagement at a ring gear contact radius from the central axis as a function of the planetary gear tooth form shape and geometric parameters, the planetary gear radius and the planetary gear tooth pitch.