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This paper considers a numerical method for optimal control problems which are solved by using a mathematical programming formulation. The sensitivity differential equations are obtained to calculate the derivative information of the objective and constraint functions. Numerical examples of the accent trajectory problem of a spaceplane compare the proposed method with the conventional method which calculates derivatives using finite difference approximation. The results demonstrate the improvement of accuracy and computational efficiency of the present method.

Computational Method of Optimal Control Problem Using Mathematical Programming. (1st Report). Introduction of Sensitivity Differential Equations.