Abstract: Aerodynamic longitudinal static stability characteristics, hypersonic lift-to-drag ratio characteristics under trim angle of attack, and off-set location placement of gravity center for spherical cap segment-reversing cone capsule configuration are studied through Multi-point/objective Design Optimization technique combined numerical parallel simulation methods. Contrary relations are presented between the aerodynamic static stability and the other two characteristics. Aerodynamic static longitudinal stability is improved as trimmed lift-drag ratio decreased and offset location of gravity center increased, whereas, increasing trimmed lift-drag ratio or decreasing offset location of gravity center means worse static stability. The method introduced in the paper shows some guiding significance for the design of reentry capsule.