航天器轨迹优化的通用数值方法

给出了航天器轨迹优化的一种通用数值仿真方法，该方法是由静态参数优化和动态参数优化构成，其中，静态参数优化采用可变误差多面体算法，动态参数优化采用基于最优控制理论的共轭梯度方法。

A Common Numerical Calculation Method ofOptimizing the Trajectories of Space Vehicles

Abstract A common numerical calculation method is studied for optimizing the trajectories of space vehicles. The method is composed of static parameter optimization and dynamic parameter optimization, where the static optimization is chosen as static varied tolerance polyhedrons algorithm and dynamic optimization is chosen as conjugate gradient numerical calculation method based on optimal control theory. The static and dynamic optimization algorithms are given. The common numerical method is successfully applied to optimize the following projects; return and reentry trajectories of space shuttle and manned space vehicles, space trajectory transfers, aeroassisted trajectory transfers, ascent trajectories of space plane (with two stages ) and space vehicles (with two stages), integrative design for trajectories/the global parameters of the vehicle, the program controlled trajectory of a land to air missile or an air - to - land missile. The large amount numerical results shown that the common numerical calculation method can widely apply to optimize the trajectories of space vehicles, and to space vehicle design.