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Optimal Pulse Strategies for Relative Orbit Transfer Along a Circular Orbit

机译:沿圆形轨道相对轨道转移的最佳脉冲策略

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This paper is concerned with a fuel-optimal relative orbit transfer problem for HiH-Clohessy-Wiltshire equations. The input is of the pulse type and the performance index is the total velocity change required for a transfer. For the in-plane motion, the existence of optimal three-pulse strategies is shown and the minimum total velocity change is explicitly given under the condition that the difference of orbit size is relatively larger than that of drift velocity. For the out-of-plane motion, the existence of optimal single-pulse strategies is shown. The orbit transfer problem covers formation reconfiguration problem as a special case. Midpoints of the optimal pulses coincide with those points at which the velocity along the radial direction is zero. Using this information and null controllability with vanishing energy of the Hill-Clohessy-Wiltshire equations, suboptimal feedback controllers are designed. Simulation results with optimal open-loop strategies and feedback controls are given for two formation reconfiguration problems.
机译:本文涉及HiH-Clohessy-Wiltshire方程的燃料最优相对轨道转移问题。输入是脉冲类型,性能指标是传输所需的总速度变化。对于平面内运动,表明存在最佳的三脉冲策略,并且在轨道大小之差相对于漂移速度之差较大的情况下,明确给出了最小的总速度变化。对于平面外运动,显示了最佳单脉冲策略的存在。轨道转移问题作为特殊情况涵盖了编队重构问题。最佳脉冲的中点与沿径向速度为零的那些点重合。利用该信息和零可控性以及Hill-Clohessy-Wiltshire方程的消失能量,设计了次优反馈控制器。针对两个编队重配置问题,给出了具有最佳开环策略和反馈控制的仿真结果。

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