天文导航系统以天体为导航信标进行导航定位,其定位性能除了受天文测量仪器精度的影响外,和所观测天体几何构型分布亦有关联.从天文定位基本原理出发,推导建立了天文定位误差模型,分析了影响天文定位性能的因素,着重研究了恒星几何构型中恒星方位角对天文定位性能的影响,给出了在测量精度一定的条件下,可用于判别天文定位性能优劣的误差权系数k以及天文定位性能较优的恒星分布情况.仿真结果表明,所提出的天文定位误差模型可以有效用于分析天文定位性能.
Guide stars are the basis of celestial positioning.The performance of celestial positioning is not only determined by the accuracy of astronomical sensors,but also affected by the distribution of guide stars.To analyze the impact of star distribution on celestial positioning,an error model of celestial positioning is established based on the basic principle of celestial positioning.The error characteristics under the different distributions of stars are researched.In addition,the error weight k used for determining the performance of celestial positioning is presented,and the optimum star geometries are given with certain measuring accuracy.Simulation results show that the proposed error model of celestial positioning can be used to analyze the performance of celestial positioning effectively.