This paper researches the ascent trajectory optimization problem in view of multiple constraints that effect on the launch vehicle. First, a series of common constraints that effect on the ascent trajectory are formulated for the trajectory optimization problem. Then, in order to reduce the computational burden on the optimal solution, the restrictions on the angular momentum and the eccentricity of the target orbit are converted into constraints on the terminal altitude, velocity, and flight path angle. In this way, the requirement on accurate orbit insertion can be easily realized by solving a three-parameter optimization problem. Next, an improved particle swarm optimization algorithm is developed based on the Gaussian perturbation method to generate the optimal trajectory. Finally, the algorithm is verified by numerical simulation.

中文翻译：

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改进的粒子群算法在多约束上升轨迹优化中的应用

鉴于影响运载火箭的多重约束，本文研究了上升轨迹优化问题。首先，针对轨迹优化问题制定了一系列影响上升轨迹的常见约束条件。然后，为了减轻最优解的计算负担，将对角动量和目标轨道的偏心率的限制转换为对终端高度，速度和飞行路径角度的限制。这样，通过解决三参数优化问题可以容易地实现对精确的轨道插入的要求。接下来，基于高斯扰动方法，开发了一种改进的粒子群优化算法，以生成最优轨迹。最后，通过数值仿真对算法进行了验证。