This paper proposes an integrated framework for staging and trajectory optimization of a launch vehicle under a constraint on the instantaneous impact point (IIP) of the separated stage. The proposed framework iterates between the optimal staging module and the trajectory optimization module to minimize the lift-off mass of a launch vehicle for a given payload mass. The trajectory optimization module finds the velocity losses and velocity change for IIP control, which flow to the optimal sizing module as inputs. The iteration between the two modules continues until the convergence criteria are satisfied. The effectiveness of the proposed framework has been demonstrated through a case study.

本文提出了一种在分离阶段的瞬时冲击点（IIP）约束下对运载火箭进行分级和弹道优化的集成框架。所提出的框架在最优分级模块和轨迹优化模块之间进行迭代，以在给定有效载荷质量的情况下最小化运载火箭的起飞质量。轨迹优化模块找到用于IIP控制的速度损失和速度变化，这些速度损失和速度变化作为输入流到最佳尺寸确定模块。两个模块之间的迭代将继续进行，直到满足收敛标准为止。案例研究证明了拟议框架的有效性。