I find that none of 8, 9, 11-tooth planets fits exactly on the same side of the axis with 7, 5 . (Of course 9, 11 fit happily on the other side.) The discrepancy is however only ~1/10000 at ring-sun offset 6.479405920550 using our customary units. Unfortunately, Tom Rockiki's simulator is not yet sufficiently advanced to do more than confirm that 7, 5 co-exist (to working accuracy, at any rate). Contradicting the assertion below, these numbers should be divided by 2pi for unit teeth. WFL On 7/30/15, William R Somsky <wrsomsky@gmail.com> wrote:
I've not confirmed the mesh analytically as yet, but I believe this is an exact "Somsky-Gear" system of 10 planets, all non-overlapping:
Annulus: 73 teeth, Sun: 57, Planets: 2x5, 2x7, 2x8, 2x9, 2x11 Sun Displacement: 6.47941... (in units where a gear of radius n has n teeth)
Static png: https://drive.google.com/open?id=0B2889vNnzpsTMjEwNDlDSnZjRWc Animated gif: https://drive.google.com/open?id=0B2889vNnzpsTNTBFUGhqVXNGTjQ
-- WRSomsky <wrsomsky@gmail.com>
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