Modeling and Analysis of the Bounds of Periodical Satellite Relative Motion
Modeling and Analysis of the Bounds of Periodical Satellite Relative Motion
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DOI：
10.2514/1.g000259
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发表时间：
2014-10
影响因子：
2.6
通讯作者：
Zhaohui Dang;Zhaokui Wang;Yulin Zhang
中科院分区：
文献类型：
--
作者：
Zhaohui Dang;Zhaokui Wang;Yulin Zhang
本文给出了卫星周期相对运动的精确解析界。为了方便地探索边界，应用了一组代数相对运动方程。在这些新发展的方程中，真异常的一半的正切值被视为一个重述的自变量。通过求解坐标关于重述自变量的偏导数，得到了领导者局部垂直/局部水平坐标系中坐标的上、下界。这些界限表示为领导者的轨道元素和轨道元素的差异的追随者相对于领导者的功能。进一步分析了边界随微分轨道根数的变化，讨论了一些有趣的现象。研究了星间距离的界。研究发现，在大多数情况下，星间距离最多有四个极值点。在某些退化的情况下，可能有B.
The precise analytic bounds of periodical satellite relative motion are obtained in this paper. To explore the bounds easily, a set of algebraic relative motion equations are applied. In these newly developed equations, the tangent value of half the true anomaly is regarded as a restated independent variable. The upper and lower bounds of the coordinates in the leader local-vertical/local-horizontal frame are found by solving the partial derivatives of the coordinates with respect to the restated independent variable. These bounds are expressed as functions of the leader’s orbital elements and the orbital element differences of the follower with respect to the leader. The bounds’ variation with differential orbital elements is further analyzed, in which some interesting phenomena are discussed. The bounds of the intersatellite separation are also studied. It has been found that there are at most four extreme value points in the intersatellite separation in most cases. In some degenerate cases, there may b...