I believe Somsky's angle "Omega" is more about making sure the teeth mesh correctly as the "sun" gear is moved closer to and further away from the outer gear, giving the necessary freedom to insert another pair of planet gears. Since all the teeth have the same pitch, making the arc lengths equal means that the tooth count is the same and thus you can indeed "move" that sun gear in and out. On Thu, Jul 9, 2015 at 4:47 PM, Warren D Smith <warren.wds@gmail.com> wrote:
Wait a minute, thinking a bit more re Rokicki's argument and my counter-argument: Seems to me TR's "constant rim speed" argument works, and my counter-argument is inapplicable, PROVIDED we regard all axes as fixed locations, and the outer ring rotates about its fixed center as the "input" or "drive." In that case Somsky's angle "Omega" will be constant 180 degrees.
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