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My Old Lady's Suspension

My mistress needs suspension. I want her to corner level and keep her bumper off the street on acceleration. These objectives aren't trivial, and I don't feel comfortable leaving them to a catalog. I need to build my own double-wishbon suspension.

The geometry is pretty simple, but it does lead to a problem with 16 equations and 16 unknown variables. I have foolishly tried to solve it algebraicly, and been greeted with equations that grow to encompass an entire page (buh). My only choice is to use the initial 16 equations and estimate a solution.