广义延拓法在IGS精密星历插值中的应用

摘要

The generalized extension interpolation is used to interpolate the IGS precise ephemeris .Besides, discuss the interpolation accuracy and the relationship with the three parameters of unit node , the continuation field domain node , approximating function item number in generalized extended interpolation mathematical model , the results are compared with Lagrange polynomial interpolation . The result shows that as long as select appropriate parameters , the generalized extension interpolation method has higher precision than though Lagrange polynomial interpolation method .%利用广义延拓插值法对IGS精密星历进行插值，探讨了广义延拓插值数学模型中单元域节点、延拓域节点、逼近函数项数三个参数与插值精度之间的关系，并与传统经典的Lagrange多项式插值法进行比较分析。实际算例表明，只要选取适当的参数，广义延拓插值法拥有比Lagrange多项式插值法更高的精度。