There exists a Bifurcation Algorithm that models the distances in A.U. from the Sun to the planets in the Solar System.  This algorithm has taken on a new and modern interpretation based on research by De Haar, Weizsacker and Bruskiewich.  

This paper outlines a way to determine A in the Bifurcation Algorithm and a suggested distance, as well as a cause for, the Kuiper Cliff at around 51 A.U.

The distances expressed by A in the Bifurcation Algorithm are the position for planetary forming turbulence in the flow of dense proto-planetary material.  There appears to be several regions for segmented turbulent flow and distinct A values..

Using fundamental ideas from fluid dynamics an expression is presented to estimate the A₁ value in the Bifurcation Algorithm used to model the position of Venus, Earth, Mars and Ceres.   

The two variables appearing in the expression for A₁ is the radius of the Sun and the Reynold’s Number for the onset of turbulent flow (estimated at 3,500).   This expression predicts an A₁ value of 0.465 A.U.

The Bifurcation model predicts an outer edge to the Kuiper Belt, also known as the Kuiper Cliff, at a distance of

(50.6 +/- 1.21 ) A.U. 

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