Abstract: A play-free planetary drive includes a sun gear and an internal gear between which planetary gears revolve as they rotate. The planetary gears are slightly beveled. The sun gear and the internal gear also are beveled, so that the bevel of the sun gear and of the internal gear match that of the planetary gears. With this arrangement of the gears, the sun gear and the internal gear are urged axially against the planetary gears, meshing into them until play has been eliminated. The internal gear is non-rotatably mounted to the housing, but is permitted to shift slightly radially to accommodate radial run-out of the planetary gears. Likewise, the sun gear is permitted to shift slightly radially to accommodate radial run-out of the planetary gears. The radial accommodation thus provided achieves a degree of load equalization among the planetary gears.