| 球谐函数变换快速计算扰动引力 |
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| 引用本文： | 王建强,李建成,王正涛,赵国强.球谐函数变换快速计算扰动引力[J].武汉大学学报(信息科学版),2013,38(9):1039-1043. |
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| 作者姓名： | 王建强 李建成 王正涛 赵国强 |
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| 作者单位： | 1东华理工大学测绘工程学院;2武汉大学测绘学院;3中国地震局地震预测研究所GPS中心 |
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| 基金项目： | 国家自然科学基金资助项目(41074014,41161069,41204003);江西省教育厅青年基金资助项目(GJJ12394);东华理工大学博士科研启动基金资助项目(DHBK201113,DHBK201114);武汉大学地球空间环境与大地测量教育部重点实验室开放研究基金资助项目(11-01-01) |
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| 摘 要： | 在球谐函数变换基础上,利用新极下轨道的特殊性,在新坐标下引入Clenshaw求和计算轨道扰动引力。从理论上对比分析了传统方法、球谐函数变换方法和改进方法的计算速度和存储模型需要的物理空间。模拟试验分别采用3种方法计算了一段轨道的扰动引力,试验结果表明,改进的球谐函数变换方法比传统球谐函数变换方法计算速度可提高100倍,数据存储量仅占传统方法的3%。
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| 关 键 词： | 扰动引力 Clenshaw求和 球谐函数 极点变换 |
| 收稿时间： | 2013-04-28 |
| 修稿时间： | 2013-04-28 |
Pole Transform of Spherical Harmonic Function to Quickly Calculate Gravity the Disturbance on Earth-Orbiting Satellites |
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| WANG Jianqiang,LI Jiancheng,WANG Zhengtao,ZHAO Guoqiang.Pole Transform of Spherical Harmonic Function to Quickly Calculate Gravity the Disturbance on Earth-Orbiting Satellites[J].Geomatics and Information Science of Wuhan University,2013,38(9):1039-1043. |
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| Authors: | WANG Jianqiang LI Jiancheng WANG Zhengtao ZHAO Guoqiang |
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| Institution: | 1Faculty of Geomatics,East China Institute of Technology,418 Guanglan Road,Nanchang 330013,China;2School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China;3Institute of Earthquake Science China Earthquake Administration,63 Fuxing Road,Beijing 100036,China |
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| Abstract: | The spherical harmonics transform is a method to improve the calculation speed of the earth’s gravity disturbsance on orbiting satellites.Based on the particularity of the trajectory for pole transformation,the Clenshaw sun method is introduced to calculate the gravity disturbance on the new coordinates.Then,a comparative analysis focuses on the calculation speed and physical space needs using three methods;the traditional,pole transform,and improved pole transform methods.A simulation using the three methods is used to calculate the gravity disturbance on one period of the orbit.Test results show that the improved pole transformation of spherical harmonic functions is 100 times the calculation speed of the traditional pole transformation method.Furthermore,the data storage capacity required by the new method is only three percent of the traditional method. |
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| Keywords: | the earth’s disturbing gravity clenshaw sum spherical harmonic functions pole transform |
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