适应多测站滤波定轨系统的可观测度分析方法

The modified observable degree analysis method for orbit estimation by multi-station

摘要:

基于多站测速的滤波定轨算法在航天测控领域具有重要的应用价值，研究了该系统的可观测性问题并提出一种适应弱观测条件的基于过大条件数的可观测度判定方法。首先，建立地惯系下的卫星运动状态方程以及站心系下的量测方程，然后，采用龙格库塔离散方法得到分析所需的非线性离散模型。最后，将多测站坐标投影代入可观测矩阵求取条件数进行可观测度定量判断，该方法相较基于条件数的传统判定方法能更好的适应弱观测条件下的可观测性分析。仿真结果验证了提出方法的有效性，表明该可观测度分析方法可以为多测站协同定轨的布站优化问题提供理论参考。

Abstract:

Orbit determination based on cubature kalman filter by multi-station with velocity data only have important practical applications in space TT&C system. This paper studies the problem of the observability of the system and provides a modified observable degree analysis method. Satellite’s status equation and measurement equation are established and the modified analysis method is been applied to verify that the condition numbers parallel the orbit determination error. The simulation results proved the effectiveness of the modified method. The result of this paper can provide a theoretical reference for satation optimize embattle.