王虎妹, 李俊峰, 杨卫. 利用参照轨道要素研究卫星星座/编队的几何特征[J]. 工程力学, 2006, 23(11): 177-181.
引用本文: 王虎妹, 李俊峰, 杨卫. 利用参照轨道要素研究卫星星座/编队的几何特征[J]. 工程力学, 2006, 23(11): 177-181.
WANG Hu-mei, LI Jun-feng, YANG Wei. STUDY OF GEOMETRICAL CHARACTERISTICS OF SATELLITES CONSTELLATION/FORMATION USING REFERENCE ORBITAL ELEMENTS[J]. Engineering Mechanics, 2006, 23(11): 177-181.
Citation: WANG Hu-mei, LI Jun-feng, YANG Wei. STUDY OF GEOMETRICAL CHARACTERISTICS OF SATELLITES CONSTELLATION/FORMATION USING REFERENCE ORBITAL ELEMENTS[J]. Engineering Mechanics, 2006, 23(11): 177-181.

利用参照轨道要素研究卫星星座/编队的几何特征

STUDY OF GEOMETRICAL CHARACTERISTICS OF SATELLITES CONSTELLATION/FORMATION USING REFERENCE ORBITAL ELEMENTS

  • 摘要: 星座/编队的对地遥感应用要求对卫星群的空间几何特征进行量度和评价。定义了用于刻画卫星星下点球面几何特征的两个指标:平均星间角距和星下点分布面积。作为星下点分布的一维量度,星间角距可由参照轨道要素解析地表达。继而给出星下点最小凸球面多边形的判定算法;与传统方法不同,该算法无需求解星下点坐标即可判定星下点几何特征,进而计算卫星分布面积,作为星下点几何特征的二维表征。最后以四星编队任务为例,通过计算判定星下点几何,分析了编队轨道设计要素与编队几何特征的半定量关系。

     

    Abstract: The measurement and judgment for the geometrical characteristics of satellite clusters are required in the earth-observing missions of satellites constellation or formation.The concepts and definitions of mean angular separation and subpoints distribution area are introduced.These quantities are used to characterize the spherical geometry of subpoints.The mean angular separation can be formulated by reference orbital elements as a one-dimensioned measure of subpoints distribution.An algorithm of determining the minimum convex spherical polygon is presented.Using the algorithm,the geometrical distribution of all subpoints can be achieved without calculating the subpoint coordinates,as a departure from the classical algorithm.Furthermore,the distribution area can be obtained as a two-dimensional measure of subpoint geometry property.The presented approach is exemplified to determine the spherical geometrical characteristics of a formation of four-satellites.The correlation between the reference orbital elements and the distribution area are analyzed in a semi-quantitative manner.

     

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