Application of Lagrange Interpolation Method in BeiDou Satellite Precise Ephemeris Interpolation
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摘要: 在高精度卫星定位数据处理中需要对精密星历进行插值。文章利用滑动式拉格朗日插值法,分别探讨了插值阶数与北斗精密星历中的三类北斗卫星的插值精度的关系。算例表明,三类北斗卫星达到最佳插值精度的插值阶数不同;只要采用合理的阶数,三类卫星都可以达到毫米级插值精度。该方法可以较好地适用于北斗卫星精密星历的内插。Abstract: It is necessary for precise ephemeris to be interpolated in high-precision satellite positioning data processing. In this paper,based on the sliding Lagrange interpolation method,it is investigated that the relationship between the interpolation order and the interpolation accuracy of three kinds of Beidou satellites in BeiDou precision ephemeris respectively. The example shows it is different that the interpolation order of the three kinds of BeiDou satellites to achieve the best interpolation precision; as long as a reasonable order is adopted,three kinds of satellites can all achieve millimeter interpolation precision. This method can be better applied to the interpolation of the precision ephemeris of the BeiDou satellite，and this method is completely suitable for interpolating the precision ephemeris of the BeiDou satellite.
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