Pivots and wire of shears

Know when you make an equation that you know is right but it is so difficult to understand that it works in the brain. So that's it. But basically it is like a pivot that has its linear velocity altered by the rotation then by the current linear velocity and its rotation, would give to predict a cone of the maximum probability that the pivot will be. For example, I can not predict the exact direction that the pivot will make the curve, I do not know if it is to the right or to the left, but I can predict the exact distance that it will be with that equation.

I can explain where I got this. At first I was wondering the speed of the wire from a pair of scissors, exactly. Then I came across lorentz who only foresees his formulas in which things move on the same axis and the scissors, the thread, deceives Lorentz. So I figured there might be some relationship between I use lorentz 2x each for each scissor shaft and get the speed of the scissor wire but I also do not know if it would give the precise result. Then came the light of adding lorentz of a rod with the rotation of the second rod to obtain the thread. But since I had to linearize the rotation, I divided the rotation by 2pi. since by classical mechanics the speed of the wire is exactly 4v / pi, v the speed of the rod and did not give the same result, I did the rest.

Then the rest, 2pi - feigenbaum and so, was to find the approximation between classical and linearization of rotation.

The funny thing is that when applying this whole equation and adding with lorentz, that is, lorentz + this equation, we have the approximate result of the classical. This equation says the addition to already linear speed in relation to the rotation, as in the pivot and the wire of shears.

λ = constant of feigenbaum
a = diameter
c = speed of light
w = angular velocity in radiating of the object to be calculated in relation to the other object of the correlation.
r = radius of the object to be calculated

If you see something wrong in this equation or something right, please share with me. Thanks.