Observability and Performance Analysis of Spacecraft Autonomous Navigation Using Stellar Aberration Observation

Muzi Li, Sun Jun, Peng Yang, Liu Jingxi
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Abstract

Autonomous navigation is one of the trends of aerospace development. The accuracy improvement of astrometry and celestial navigation sensors is paving a promising path toward navigation using celestial measurement. Under this background, the paper presents an autonomous navigation method basing on stellar aberration effect. In the method, the inter-star angle is used as measurements. With the help of the orbit dynamic model and an extended Kalman filter, spacecraft orbit parameters can be estimated. By constructing the observability matrix and calculating the condition number of the observability matrix, the performance of navigation system is assessed. Finally, the Monte-Carlo simulation results demonstrate the feasibility of the navigation method, and when inter-star angles between three stars are simultaneously chosen as measurements, a precision better than 200m can be achieved.
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基于星差观测的航天器自主导航可观测性及性能分析
自主导航是航空航天发展的趋势之一。天体测量和天体导航传感器精度的提高为天体测量导航开辟了一条光明的道路。在此背景下,提出了一种基于星差效应的自主导航方法。该方法采用星间角作为测量参数。利用轨道动力学模型和扩展卡尔曼滤波,可以估计航天器的轨道参数。通过构造可观测性矩阵,计算可观测性矩阵的条件数,对导航系统的性能进行评估。最后,通过蒙特卡罗仿真验证了该导航方法的可行性,当同时选择三颗星之间的星间角作为测量值时,可以获得优于200m的精度。
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