基于测角定位与光行差测速的深空自主导航方法研究

Deep space autonomous navigation based on angle measurement positioning, aberration velocity measurement

  • 摘要: 本文围绕深空探测中航天器自主导航的核心问题,系统阐述了基于天文测角导航的定位原理与光行差效应的测速原理,在此基础上,采用松组合架构分别解算位置与速度,并设计解耦的扩展卡尔曼滤波(extended Kalman filter,EKF)实现状态融合估计. 在定位方面,通过构建探测器、恒星、行星等天体间的矢量几何模型,结合星敏感器测量数据解算航天器位置;在测速方面,利用狭义相对论下的光行差公式,通过三颗及以上恒星的视线方向变化反演三维速度. 导航滤波器设计以航天器轨道动力学为基础,建立包含月球引力及摄动力的状态方程,并通过解耦的EKF实现状态估计,在保证精度的同时简化模型复杂度. 仿真结果表明,在高敏感器精度下,环绕月球飞行的航天器位置、速度精度分别可达百米和亚米每秒量级,为航天器自主导航系统的设计和实现提供了理论依据及工程参考.

     

    Abstract: This paper focuses on the core issue of spacecraft autonomous navigation in deep space exploration. It systematically elaborates on the positioning principle based on celestial angle measurement navigation and the velocity measurement principle leveraging the aberration effect. On this basis, a loosely coupled architecture is adopted to solve for position and velocity separately, and a decoupled extended Kalman filter (EKF) is designed to achieve state fusion estimation. In terms of positioning, a vector geometric model involving the detector, stars, planets, and other celestial bodies is constructed, and the spacecraft’s position is solved using measurement data from a star sensor. In terms of velocity measurement, the relativistic aberration formula from special relativity is used to invert the three-dimensional velocity via changes in the line-of-sight direction of three or more stars. The navigation filter is designed based on spacecraft orbital dynamics, establishing a state equation that includes lunar gravity and perturbation forces, and state estimation is realized through a decoupled extended Kalman filter, which simplifies model complexity while ensuring accuracy. Simulation results show that, under high sensor accuracy, the position and velocity accuracy of a spacecraft orbiting the Moon can reach the order of hundreds of meters and sub-meter per second, respectively, providing a theoretical basis and engineering reference for the design and implementation of autonomous navigation systems for spacecraft.

     

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