几何学在卫星精确定位中的应用  

Application of Geometry to Artificial Satellite on Precision Positioning

作　　者：吴青娥[1,2] 王拓[1] 黄永宣[1] 李济生[1] 齐勇[1] 杜小宁[1] 

机构地区：[1]西安交通大学以电子与信息工程学院,西安710049 [2]郑州轻工业学院电气系,河南郑州450002

出　　处：《数学的实践与认识》2009年第22期45-53,共9页Mathematics in Practice and Theory

基　　金：国家博士后科学基金项目(20080441175);国家自然科学基金(60933003;10671030)

摘　　要：卫星轨道及卫星导航定位都涉及很多几何问题,那么怎样用几何学解决卫星轨道及导航定位的计算是在实际应用中面临的一个重要课题.在这个问题基础上,给出了在适合于不同情况下的坐标系的转换公式,主要研究了导航卫星轨道的有效计算,为进行实时导航定位,讨论了卫星的准确定位算法和它的速度、经纬度的确定.最后,对未来的研究方向做出探讨.This paper gives the transform formula between the coordinates for adapting to different things, and studies mainly the effective calculation of the orbit of the artificial satellite. For real time navigation and positioning of the satellite, this paper discusses the algorithm of the position and velocity of a satellite on precision positioning as well as the calculation of its longitude and latitude. Finaily, some problems on navigation and positioning to be solved and development trends are discussed. The theories development in this paper in turn can form the theoretic base for further application of navigation and positioning of the satellite.

关 键 词：正交变换 近地点 真近点角 偏近点角 平近点角 定位 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]