| BDS卫星位置插值方法研究及精度分析 |
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| 引用本文： | 王建敏,李亚博,祝会忠,马天明.BDS卫星位置插值方法研究及精度分析[J].测绘科学,2017(12):25-31. |
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| 作者姓名： | 王建敏 李亚博 祝会忠 马天明 |
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| 作者单位： | 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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| 摘 要： | 针对精密星历本身只能提供离散的而不是任意时刻的卫星位置,该文提出采用插值法计算任意时刻的卫星位置。利用德国地学中心(GFZ)提供的精密星历数据,依次使用了拉格朗日插值法、牛顿插值法、切比雪夫拟合法、勒让德拟合法计算地球静止轨道(GEO)卫星、倾斜地球同步轨道(IGSO)卫星、中地球轨道(MEO)卫星这3种不同轨道卫星任一时刻的卫星位置,并对这4种插值方法的精度进行了深入分析。实验结果表明:在解算北斗3类不同轨道卫星中,C01卫星用牛顿插值法最优,C09和C12卫星用拉格朗日插值法最优。
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| 关 键 词： | 卫星位置 拉格朗日插值 牛顿插值 切比雪夫拟合 勒让德拟合 |
Research on interpolation method and precision analysis of BDS satellite position |
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| Abstract: | For the precise ephemeris can only provide discrete but not arbitrary satellite position,this essay put forward to make use of interpolation method to calculate satellite position at any time.Taking advantage of GFZ precise ephemeris data to calculate medium earth orbit(GEO),inclined geo-synchronous orbits(IGSO),geostationary earth orbit(MEO)satellite position at some time by using Lagrange interpolation,Newton interpolation,Chebyshev fitting,Legendre fitting respectively,which has a deeply analysis in the precision of four interpolation methods.The results showed that the Newton interpolation method was optimal for C01 satellite,and Lagrange interpolation method was optimal for C09 and C12 satellites in the calculation of BeiDou three types of different satellites. |
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| Keywords: | satellite position lagrange interpolation newton interpolation Chebyshev fitting Legendre fitting |
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