基于精确星历最小二乘拟合的轨道快速递推方法  

Fast Orbit Predict Method Based on the Least Square Fitting of Ephemeris Data

作　　者：车征 CHE Zheng(Xingyi Space Technology Co.,Ltd.,Xi'an 710043)

机构地区：[1]陕西星邑空间技术有限公司,西安710043

出　　处：《计算机与数字工程》2023年第5期1065-1069,1095,共6页Computer & Digital Engineering

摘　　要：提出了一种基于第一类无奇点根数的低轨卫星瞬时根数拟合方法,根据精确星历预报结果规律,对每个根数分量设置不同的周期项和时间变化项,使用最小二乘法解算对应的系数。同时根据周期函数的特点设计了快速获得系数初值的解析计算式,减小了迭代计算量。方法可用于已知精确星历时的快速轨道递推计算;还可以快速分离出短周期和长周期以及线性时变项,实现瞬根数到平根数的转换。An ephemeris fitting method of LEO satellite based on the non-singular orbital elements is proposed.According to the results of high precision orbit propagation,different periodic terms and linear terms are set to approximate the six elements.Then the least square method is applied to calculate the optimal coefficients to make the fitting function as close as the real values.The fast calculating method of initial values for the least square is also proposed to reduce the time cost.The method in this paper can be well used to quickly predict orbit elements.It can also separate the long terms out from the short terms and thus can be used to quickly convert osculating elements into mean elements.

关 键 词：星历预报 最小二乘 快速轨道递推 

分 类 号：V19[航空宇航科学与技术—人机与环境工程]