Optimization and Analysis of NRHO Two-pulse Phasing Problem in Cislunar Space
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摘要: 美国阿尔忒弥斯任务建造和运行月球轨道门户空间站期间,将在近直线晕轨道(Near-rectilinear halo orbit,NRHO)实施大量货运和载人飞行交会对接任务。针对NRHO轨道的调相轨道优化问题,基于圆型限制性三体问题模型,首先通过信赖域算法对转移时间进行遍历,之后采用非线性优化算法局部优化修正位置误差,最后通过迭代求解非线性方程组降低速度增量,实现了低燃料消耗的NRHO轨道调相优化;针对调相代价问题,利用该方法对NRHO轨道上不同转移时间和不同相位关系的调相场景进行了分析。结果表明:该算法计算效率较高,相较于遗传算法减少了53.2%的计算时间;转移时间越长(转移轨道圈数越多)转移消耗的速度增量越小;目标航天器相位滞后选取绕NRHO外圈的调相方式省燃料,反之绕内圈省燃料;追踪航天器从近月点出发时消耗的速度增量较小。
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关键词:
- 地月空间 1 /
- 圆型限制性三体问题2 /
- NRHO轨道3 /
- 轨道调相 4 /
- 信赖域算法 5
Abstract: During the construction and operation of the lunar gateway in the artemis program, a large number of cargo and crew rendezvous missions will be conducted in the near-rectilinear halo orbit (NRHO). Addressing the optimization of phase orbits in NRHO, based on the circular restricted three-body problem (CRTBP) model, the transfer time is first traversed using the trust-region methods. Subsequently, the position is locally optimized using a nonlinear optimization algorithm. Finally, the velocity increment is reduced by iteratively solving nonlinear equations, achieving NRHO phasing with low fuel consumption. For the problem of fuel cost, the method analyzes orbital transfer scenarios with different transmission time and phase relationships in NRHO. The results show that the algorithm has high computational efficiency, reducing computation time by 53.2% compared to the genetic algorithm; the longer the transfer time (the more transfer orbit revolutions), the smaller the velocity increment consumed; selecting the outer loop of NRHO for phasing saves fuel when the target spacecraft lags in phase, while the inner loop saves fuel otherwise; the transfer cost is lower when the tracking spacecraft departs from the perilune. -
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