A rotary transfer apparatus (10, 10C), comprising: (a) a frame structure; (b) a rotatable main shaft supported by the frame structure; (c) a first planetary member connected to the main shaft to rotate therewith; (d) at least one first planetary shaft rotatably connected to the first planetary member and rotating in relation to the main shaft; (e) a second planetary member connected to the at least one first planetary shaft and rotating in relation to the main shaft, the second planetary member including a second planetary shaft rotating in relation to the at least one first planetary shaft, a primary stationary gear connected to the frame structure, the main shaft extending through and rotating in relation to the primary stationary gear, at least one primary planetary gear in rotational communication with the primary stationary gear and connected to the at least one first planetary shaft, a secondary stationary gear corresponding to the at least one primary planetary gear, the secondary stationary gear being connected to the first planetary member, the at least one first planetary shaft extending through and rotating in relation to the secondary stationary gear, and at least one secondary planetary gear in rotational communication with the secondary stationary gear and connected to the second planetary shaft; (f) an article transfer mechanism connected to the second rotatable planetary shaft of the second planetary member, the article transfer mechanism moving in a path having at least two path apexes; (g) an offset cam mechanism rotatably secured to the first planetary member, the cam mechanism operatively connected to the second planetary member and providing movement of the article transfer mechanism in non-identical structure or functionality at two path apexes, the cam mechanism including a cam structure adapted to rotate with a first idler gear and having a cam contour associated therewith, with a cam follower adapted to co-operate with the cam contour and a cam linkage adapted for linking the cam follower to the secondary stationary gear, wherein the first idler gear is in rotational communication between the primary stationary gear and each primary planetary gear; and (h) wherein the first idler gear makes one revolution for each revolution of the first planetary member. (a) a frame structure; (b) a rotatable main shaft supported by the frame structure; (c) a first planetary member connected to the main shaft to rotate therewith; (d) at least one first planetary shaft rotatably connected to the first planetary member and rotating in relation to the main shaft; (e) a second planetary member connected to the at least one first planetary shaft and rotating in relation to the main shaft, the second planetary member including a second planetary shaft rotating in relation to the at least one first planetary shaft, a primary stationary gear connected to the frame structure, the main shaft extending through and rotating in relation to the primary stationary gear, at least one primary planetary gear in rotational communication with the primary stationary gear and connected to the at least one first planetary shaft, a secondary stationary gear corresponding to the at least one primary planetary gear, the secondary stationary gear being connected to the first planetary member, the at least one first planetary shaft extending through and rotating in relation to the secondary stationary gear, and at least one secondary planetary gear in rotational communication with the secondary stationary gear and connected to the second planetary shaft; (f) an article transfer mechanism connected to the second rotatable planetary shaft of the second planetary member, the article transfer mechanism moving in a path having at least two path apexes; (g) an offset cam mechanism rotatably secured to the first planetary member, the cam mechanism operatively connected to the second planetary member and providing movement of the article transfer mechanism in non-identical structure or functionality at two path apexes, the cam mechanism including a cam structure adapted to rotate with a first idler gear and having a cam contour associated therewith, with a cam follower adapted to co-operate with the cam contour and a cam linkage adapted for linking the cam follower to the secondary stationary gear, wherein the first idler gear is in rotational communication between the primary stationary gear and each primary planetary gear; and (h) wherein the first idler gear makes one revolution for each revolution of the first planetary member.