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Create alpha and beta that depend on the state. This gets the 3D
sphere const vel, rho case working. For the nbhd in question, the MEB state redist equations create a quadratic equation for beta. The code checks for this type of nbhd and then solved the quadratic. It does not treat another possible challenging nbhd that could exist but doesn't seem to arise in our 3D sphere set up (at least for a while). This more complex nbhd would require solving a cubic equation. Code needs a lot of clean up.
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