簇飞行航天器网络节点距离分布的高斯近似  

Gaussian Approximation of Node Distance Distribution of Cluster Flying Spacecraft Network

作　　者：蔡嘉楠 胡圣波[1] 莫金容 鄢婷婷[1] 夏明飞 CAI Jia-nan;HU Sheng-bo;MO Jin-rong;YAN Ting-ting;XIA Ming-fei(Intelligent Information Processing Institute of Guizhou Normal University,Guiyang 550001,China)

机构地区：[1]贵州师范大学智能信息处理研究所,贵州贵阳550001

出　　处：《数学的实践与认识》2020年第11期183-190,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(6156010183)。

摘　　要：簇飞行航天器因其节点间几何结构松散,节点间相对有界成为分布式空间系统研究热点之一.基于建立的簇飞行航天器节点移动模型,运用经验统计的分析方法,研究了簇飞行航天器节点间距离分布,采用高斯函数拟合,近似得到了节点距离分布的概率密度函数;为便于分析,还采用八阶多项式拟合节点距离分布的概率密度函数,并与高斯函数拟合残差和相对熵比较分析.结果表明,高斯函数效果更好,为研究簇飞行航天器网络性能提供重要理论基础.Cluster spacecraft has become one of the research hotspots of distributed space system because of its loose geometric structure and relatively bounded nodes.Based on the established node movement model of cluster spacecraft,we studied the distance distribution between nodes of cluster spacecraft by empirical statistical analysis method,and obtained the probability density function of node distance distribution by gaussian function fitting;In order to facilitate the analysis,the probability density function of the node distance distribution is also fitted with an eight-order polynomial,and the residuals and relative entropy are compared with the gaussian function.The results show that the fitting effect of gaussian function is better,which provides an important theoretical basis for studying performance of cluster spacecraft network.

关 键 词：簇飞行航天器网络 节点间距离分布 高斯拟合 相对熵 

分 类 号：V443.1[航空宇航科学与技术—飞行器设计]