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A method based on reduced-order dynamic model and sequential convex optimization is studied for the high precision and efficient calculation of hypersonic gliding vehicle"s equilibrium gliding trajectory footprint. Firstly, according to the quasi-equilibrium gliding hypothesis, the dynamic equation of reentry vehicle is simplified to obtain the third-order dynamic equation with velocity as independent variable. Then, the footprint calculation problem is described as a series of maximal cross-range optimization problems satisfying reentry corridor constraints and initial and final state constraints. After linearization and discretization of the simplified dynamic equations, the problem is solved by the continuous convex optimization method, and the footprint of the vehicle at different terminal speeds is obtained. Finally, the CAV-H model is taken as an example to verify the simulation. The results show that the proposed method has high efficiency and high accuracy in the footprint calculation.