冯延明, 施品浩. GPS动力法定位的模型与估计问题[J]. 武汉大学学报 ( 信息科学版), 1989, 14(3): 1-8.
引用本文: 冯延明, 施品浩. GPS动力法定位的模型与估计问题[J]. 武汉大学学报 ( 信息科学版), 1989, 14(3): 1-8.
Feng Yanming, Shi Pinhao. Models and Estimations for GPS Positioning in the Dynamic Environment[J]. Geomatics and Information Science of Wuhan University, 1989, 14(3): 1-8.
Citation: Feng Yanming, Shi Pinhao. Models and Estimations for GPS Positioning in the Dynamic Environment[J]. Geomatics and Information Science of Wuhan University, 1989, 14(3): 1-8.

GPS动力法定位的模型与估计问题

Models and Estimations for GPS Positioning in the Dynamic Environment

  • 摘要: 研究GPS在动力学环境下的网定位,对我国来说具有很大的吸引力。在GPS定位实践中,动力法及半动力法的轨道改进定位方式都具有广泛的应用,但前者概括了卫星定位中最一般的动力学问题。因此,本文归纳和建立了相应的动力法定位模型,包括轨道状态方程、地面测站的状态方程及观测方程。简要介绍了更能反映卫星定位问题统计和力学本质的最优滤波和最优控制的估计方法。最后给出了事后轨道估计的最佳平滑方程。

     

    Abstract: Both geometric and dynamic methods are widely applied to GPS positioning. Thedynamic method may be further subdiveded into semdynamic (short-arc) and dynamic(long-arc) modes. In this paper, the mathematical models for GPS dynamic positioningin long-arc are developed, including the state equations for both satellite orbits and stationtrajectories, and GPS observation equations. The approaches to optimal control andkalman filtering are introduced to this analysis in order to reflect the statistical andphysical performance of the problem. Finally, the optimal smoothing formulation ofpost-fitted orbits are given.

     

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