多项式拟合快速计算扰动引力方法

摘要

利用超高阶次重力场模型EGM2008模拟了一段轨道重力场,利用分段多项式拟合方法逼近轨道重力场.通过模拟实验给出了不同分段方法以及不同次数的多项式拟合的精度、数据存储量和计算速度.结果表明:利用分段多项式拟合逼近轨道重力场的计算速度比传统方法提高了3个数量级,数据存储量少于100个浮点数.%An orbit gravity field was simulated through the EGM2008 with ultra-high-degree,and then the gravity field was approximated by polynomial fitting with divided segmentation of the orbit.According to the different segmentations and polynomial fittings,a test was done which focuses on the precision,data storage and calculation speed of the polynomial fitting.The results show that:comparing with traditional methods,the computing speed of the orbit gravity field by the segmentation polynomial fitting approximation improves 3 orders of magnitude,and data storage is less than 100 floating point numbers.