| GPS精密星历拟合与插值中龙格现象的处理方法 |
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| 引用本文： | 吉长东,徐爱功,冯磊.GPS精密星历拟合与插值中龙格现象的处理方法[J].测绘科学,2011,36(6):169-171. |
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| 作者姓名： | 吉长东 徐爱功 冯磊 |
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| 作者单位： | 1. 辽宁工程技术大学测绘与地理科学学院,辽宁阜新123000;山东省基础地理信息与数字化技术重点实验室,山东青岛266510
2. 辽宁工程技术大学测绘与地理科学学院,辽宁阜新,123000 |
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| 基金项目： | 山东省基础地理信息与数字化技术重点实验室开放基金资助项目(SD080702);辽宁省教育厅重点实验室项目(2009S049) |
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| 摘 要： | 采用广播星历和精密星历计算卫星位置是GPS定位基础,为确保精度可靠,广播星历由地面控制部分约每2小时更新一次,在对广播星历拟合与插值时有龙格现象发生,本文用Chebyshev和Legendre多项武拟合以及Lagrange、Neville和Newton插值方法对精密星历内插,在对高次多项式拟合与插值数学机理认真分析研究...
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| 关 键 词： | GPS精密星历 龙格现象(RP) 拟合与插值 Chebyshev Legendre Lagrange Neville Newton |
Treatment of Runge' s phenomenon in fitting & interpolating GPS precise ephemeris |
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| JI Chang-dong,XU Ai-gong,FENG Lei.Treatment of Runge' s phenomenon in fitting & interpolating GPS precise ephemeris[J].Science of Surveying and Mapping,2011,36(6):169-171. |
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| Authors: | JI Chang-dong XU Ai-gong FENG Lei |
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| Institution: | ①(①School of Geomatics,Liaoning Technical University,Liaoning Fuxin 123000,China;②Key Laboratory of Geomatics and Digital Technology of Shandong Province,Shandong Qingdao 266510,China) |
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| Abstract: | Broadcast ephemeris and precise ephemeris are the foundation of using GPS for positioning;the ground control part updates broadcast ephemeris about every 2 hours to ensure the accuracy.While fitting or interpolating broadcast ephemeris,Runge's Phenomenon(RP) happens.This article handled the precise ephemeris with the Chebyshev and Legendre polynomial fitting and Lagrange,Neville and Newton interpolation methods.On that basis of studying mathematical mechanism carefully,it got the way of handling RP through the experiments,and made a meaningful thing in precise ephemeris interpolating and fitting on high sampling rate. |
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| Keywords: | GPS precise ephemeris Runge's phenomenon(RP) fitting and interpolating Chebyshev Lagrange Neville Newton |
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