lesbentley,

Thanks for the reply.  Regarding the first point you made regarding repositioning the pivot point to the center of the circle, if you can picture how a rocking chair rocks you will see that following your solution the rocking bars would actually be sliding across the floor as the chair pivots around the stationary circle center.  Picture it like a wheel that rolls backwards and forwards.  If the chairs pivot point was at the center of the wheel then the pivot point would have to translate forwards and backwards with the rolling of the wheel.

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