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弹道优化问题是两点边值问题。这类问题的数值方法主要有间接方法和直接方法两种。间接方法主要应用庞特里亚金的极大值原理和古典变分法,此方法用于弹道优化问题显得特别复杂,难以实际应用。直接方法将弹道优化问题转化为非线性规划问题来求解,省去了使用协态方程,避免了繁杂的梯度函数的计算,更适合于计算机的特点,是今后弹道优化设计的发展方向。该文只叙述直接方法中的一种非线性规划方法在弹道优化中的应用。
Ballistic optimization problem is two-point boundary value problem. The numerical methods of such problems are mainly indirect methods and direct methods. The indirect method mainly uses the Pontryagin maximum principle and the classical variational method. This method is especially complicated for ballistic optimization problems and is difficult to be practically used. The direct method transforms the ballistic optimization problem into the non-linear programming problem to solve, eliminates the need for the co-equation equation, avoids the complicated gradient function calculation, and is more suitable for the characteristics of the computer. It is the development direction of the future ballistic optimization design. This article only describes the application of a nonlinear programming method in the direct method to ballistic optimization.