碎片间转移优化的简单$Δ$ V近似法
Simple $Δ$V Approximation for Optimization of Debris-to-Debris Transfers
摘要：
提出了一种快速估算清除低地球轨道碎片的转移费用的方法。考虑了具有类似倾角值的碎片物体群。所提议的近似分析可提供任何碎片物体对之间的实际Δ v随时间变化的估计值;这些估计值可用于快速评估要清除的大量目标的成本。利用地球扁率摄动（J2）的影响，以减少传输成本。第9版的全球轨道优化竞赛的碎片清除问题被用来评估估计精度;通过与JPL获胜团队提出的GTOC 9解决方案进行比较，验证了目标对之间转移的Deltav估计。结果的比较表明，简单近似具有很好的精度。关键词：空间碎片;近似;轨迹优化; J2摄动
英文摘要：
A method for the rapid estimation of transfer costs for the removal of debris in low Earth orbit is proposed. Debris objects among a population with similar inclination values are considered. The proposed approximate analysis can provide estimations of actual Deltav between any debris object pair as a function of time; these estimations allow for the rapid evaluation of the costs of large sequences of targets to be removed. The effect of Earth's oblateness perturbation (J2) is exploited to reduce transfer costs. The debris removal problem of the 9th edition of the Global Trajectory Optimization Competition is used to evaluate the estimation accuracy; Deltav estimations of the transfers between objects pairs are verified by comparing them with the GTOC9 solution proposed by the winning team from JPL. The comparison of the results demonstrates the very good accuracy of the simple approximation. Key words: Space debris; approximation; trajectory optimization; J2 perturbation
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