一种初轨计算的稳健方法

摘要

光学测角资料的初轨计算在空间目标搜索发现中具有重要作用,当观测资料存在野值时,基于最小二乘的经典初轨计算方法不够稳健.采用最小一乘方法建立了一种初轨计算的稳健方法,方法将初轨计算问题转换为线性规划问题求解,并通过bootstrap方法给出估计精度.数值计算结果表明方法稳健有效,并具有较高的崩溃点.%The preliminary orbit determination with optical angular measurements plays an important role in the survey of space object.The classical method of orbit computing,based on least square error estimation is not robust while the outliers occur in the observation.A robust method is proposed by employing the least absolute deviation estimation.The method reduces the problem of orbit computing to a linear programming problem,and gives the variance of the estimation with bootstrap method.Numerical check shows that the method is effective as well as robust,and has a high breakdown point.