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This paper describes how computational fluid dynamics (CFD) has recently been used to design the directional stability components of the American Challenger racecar. Under development by Bill Fredrick, the missile-shaped, rocket-powered car is intended to break the World Land Speed Record, achieving a top speed greater than 800 mph. Designing a transonic car presents many unique challenges that are almost never encountered by land vehicles or aircraft. Previous papers [1, 2] on this project have described the use of the CFD++ flow solver in the selection of a rear strut profile and the positioning of the canard to achieve the desired pitching characteristics and aerodynamic loading. Following completion of these phases, the directional stability was examined at several sideslip angles and through a large range of speeds. As with previous phases of the design, maintaining desirable aerodynamic performance through both subsonic and transonic flow regimes is difficult.