总体最小二乘法在初轨计算中的应用

On the Application of Total Least Squares Method in Preliminary Orbit Determination

在分析了UVM2方法条件方程特点的基础上,将总体最小二乘法(TLS)引入轨道计算中,避免了原算法中对活力公式的线性化处理．仿真和实测计算结果表明,将TLS应用于UVM2是有效的．

Based on the mathematical model of a nonlinear least squares problem with an equality constrain, the UVM2 method is introduced in preliminary orbit determination. It can be inferred from the principle of UVM2 that the 6 variables of r0′ and r0′ in the condition eauations are essentially 5 dependent ones. To counter this characteristic of UVM2, the Total Least Squares method is introduced in preliminary orbit determination. It is shown that this method is effective from the simulation results and the real ones.