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卫星运动预测及规避的建模与求解
引用本文:陈圣华,明畅,赵利锋,杨军.卫星运动预测及规避的建模与求解[J].数学的实践与认识,2017(15):20-28.
作者姓名:陈圣华  明畅  赵利锋  杨军
作者单位:东南大学 国家专用集成电路系统工程技术研究中心,江苏 南京,210096
摘    要:近年来,随着各国侦查卫星系统的不断完善,有效根据观测数据预测卫星的轨迹,同时建立适当的规避防范措施变得尤为重要·通过研究地面监测站监测的卫星数据及地理信息,提出了一种基于三维坐标系变换的卫星轨迹求解模型,具体建立模型的方法为:建立4种不同的坐标系,通过卫星坐标在4种坐标系中的变换,将地面检测站检测到的卫星数据进行处理,拟合出卫星的六个运动参数,得出卫星运动轨迹方程,并较为精准的预测卫星被观测站观测到的情况,以及任意时刻星下点的经纬度坐标.针对卫星的运动情况,为满足我方军事目标的运动需求,根据新疆地图建立军队行军路线的有向图,然后,在考虑卫星规避的情况下对每条路线进行模拟分析,最终,通过每条路线模拟分析的结果进行比对,得出最优的行军路线.

关 键 词:三维坐标变换  卫星轨道拟合  贪婪算法

Modeling and Sloving of Satellite Motion Prediction and Evasion
CHEN Sheng-hua,MING Chang,ZHAO Li-feng,YANG Jun.Modeling and Sloving of Satellite Motion Prediction and Evasion[J].Mathematics in Practice and Theory,2017(15):20-28.
Authors:CHEN Sheng-hua  MING Chang  ZHAO Li-feng  YANG Jun
Abstract:In recent years,with the continuous improvement of the national reconnaissance satellite system,it is very important to predict the orbit of the satellite effectively according to the observation data,and to establish appropriate measures to avoid the satellite.In this paper,a satellite trajectory model based on three-dimensional coordinate system transformation is proposed by studying the satellite data and geographic information monitored by the ground monitoring station.First,four different coordinate systems are established,and then,the satellite data detected by the ground station are processed by the transformation of the satellite coordinates in the four coordinate systems,and the six motion parameters of the satellite are fitted to obtain the satellite motion trajectory equation.Finally,the data observed by the satellite at the observation station,and the latitude and longitude coordinates of the star point at any time are accurately predicted.For the movement of satellites,in order to meet the military targets,a military march route map is established according to the Xinjiang map,and then,each route is analyzed in the case of considering the satellite,finally,through the simulation analysis of the results of each route are compared,the best route of the march is obtained by comparing the results of the route simulation analysis.
Keywords:three-dimensional coordinate system transformation  satellite orbit fitting  greedy algorithm
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