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单位矢量法是由中国科学院紫金山天文台提出并得到了广泛应用的一种轨道确定算法.在将单位矢量法与微分轨道改进这两种算法分析比对的基础上,我们提出了适用于短弧段不同类型观测数据进行融合轨道确定的计算方案.该方案基于位置和速度矢量的斜分解公式,构造了轨道计算算法中的状态转移矩阵的近似计算方案.与经典的微分轨道改进算法相比,新算法在计算近似状态转移矩阵的过程中,不涉及状态转移矩阵的复杂计算,简化了算法;与单位矢量法相比,从理论上分析清楚了该方法的收敛机制,以及单位矢量法在加权处理上所存在的缺陷,较好地解决了加权问题,使得新方法比原单位矢量法具有更好的通用性.仿真数据和实测数据的数值结果表明,该方法具有较好的数值稳定性和合理的权重分配.
The unit vector method is proposed by the Purple Mountain Observatory, Chinese Academy of Sciences and has been widely used in a orbit determination algorithm.Based on the analysis and comparison of the two algorithms of unit vector method and differential orbit improvement, This paper proposes an approximate calculation scheme of state transition matrix in orbit calculation algorithm based on the oblique decomposition formulas of position and velocity vectors.Compared with the classical differential orbit optimization algorithm, Compared with the unit vector method, the new algorithm not only does not involve the complicated calculation of the state transition matrix in the calculation of the approximate state transition matrix, but also theoretically analyzes the convergence mechanism of the method and the unit vector method in weighted processing Which can solve the problem of weighting well and make the new method more general than the original unit vector method.The numerical results of simulation data and measured data show that the method has good numerical stability and reasonable The weight distribution.