A trajectory optimisation procedure is addressed to generate a reference trajectory for Satellite Launch Vehicles (SLVs). Using a grid-based discrete scheme, a Modified Minimum Cost Network Flow (MCNF)-based algorithm over a large-scale network is proposed. By using the network grid around the Earth and the discrete dynamic equations of motion, the optimum trajectory from a launch point to the desired orbit is obtained exactly by minimisation of a cost functional subject to the nonlinear dynamics and mission constraints of the SLV. Several objectives such as the flight time and terminal conditions may be assigned to each arc in the network. Simulation results demonstrate the capability of the proposed algorithm to generate an admissible trajectory in the minimum possible time compared with previous works.

中文翻译：

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基于网络流算法的卫星运载火箭轨迹优化

解决了轨迹优化程序以生成卫星运载火箭 (SLV) 的参考轨迹。使用基于网格的离散方案，提出了一种基于改进的最小成本网络流（MCNF）的大规模网络算法。通过使用地球周围的网络网格和离散的动态运动方程，从发射点到所需轨道的最佳轨迹正是通过最小化受非线性动力学和SLV任务约束的成本函数来获得的。可以为网络中的每个弧分配几个目标，例如飞行时间和终端条件。仿真结果表明，与以前的工作相比，所提出的算法能够在尽可能短的时间内生成可接受的轨迹。