A fast calculation method for asteroid exploration window based on optimal and sub-optimal two-impulse transfer orbits
A fast calculation method for asteroid exploration window based on optimal and sub-optimal two-impulse transfer orbits
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基于最优和次优二脉冲转移轨道的小行星探测窗口快速计算方法
DOI：
10.1016/j.actaastro.2021.05.002
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发表时间：
2021-09
影响因子：
3.5
通讯作者：
Ziwei Zhou
中科院分区：
文献类型：
--
作者：
Xiaohui Wang;Honglei Shan;Yuxian Yue;Ziwei Zhou
对于脉冲转移，两脉冲交会的解一般通过求解Lambert轨道问题得到，目标天体探测窗口的搜索是基于速度增量计算的二维优化。为了评估大数量小行星的可达性和探测窗口，将地球到目标小行星的转移轨道近似为共面双冲量转移轨道，并给出了一种有效的方法。本文基于余切转移轨道理论，提出了一种用一个单变量（转移轨道远日点辐角θT）表示转移轨道的方法，该方法还可以确定转移的开始时刻。在此基础上，将两冲量变轨理论（不考虑交会）与探测窗口计算方法（考虑交会）相结合，提出了交会差角εR的概念，ε R定义为航天器进入目标轨道时航天器与目标物体之间的平均异常角差。交会差角ε R与探测窗口搜索中的速度增量具有相同的极小点，但可由转移轨道和转移时间直接计算得到。当采用余切转移轨道时，ε R可以表示为θT的函数。以ε Ra为最优目标变量，探索窗口搜索可简化为一维问题。该方法适用于小倾角小行星的大规模可达性计算，从而快速确定可达目标群。
For impulse transfers, the solution of two-impulse rendezvous is generally obtained by solving the Lambert orbit problem, and the search for the exploration window of the target celestial body is a two-dimensional optimization based on velocity increment calculation. In order to assess the accessibility and exploration window of large-number asteroids, this paper approximates the transfer orbit from the Earth to the target asteroid as a co-planar two-impulse transfer orbit and gives an effective method. Based on the theory of cotangential transfer orbit, this paper proposes a method to express the transfer orbit with one single variable (the aphelion argument of the transfer orbit,θT), which can also determine the start time of the transfer. After that, the paper combines the two-impulse orbit transfer theory (without considering the rendezvous) with the calculation method of the exploration window (considering the rendezvous), proposing the concept of the rendezvous difference angleεR.εRis defined as the mean anomaly angle difference between the spacecraft and the target object when the spacecraft enters the target orbit. The rendezvous difference angleεRhas the same minimum point as the velocity increment in exploration window search, while it can be directly calculated from the transfer orbit and the transfer time. When cotangential transfer orbits are used,εRcan be expressed as a function ofθT. TakingεRas the optimal target variable, the exploration window search can be simplified to a one-dimensional problem. This method is suitable for the large-scale accessibility calculation for asteroids with low inclinations, so as to quickly determine the accessible target group.
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影响因子：
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作者：
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DOI：
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发表时间：
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期刊：
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