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    基于人造卫星/恒星光学观测的天文导航定位算法

    A Celestial Navigation Algorithm Based on Optical Observations of Satellite/Star

    • 摘要: 天文导航通过测量仪器探测天体位置解算载体导航信息,具有隐蔽性强、误差不随时间积累等特点。但传统天文导航严重依赖惯性测量器件的水平姿态基准,定位精度受限。为解决传统天文导航对水平基准的依赖问题,基于人造卫星/恒星的空间特性,提出了一种基于人造卫星/恒星光学观测的天文导航定位方法。利用星敏感器同时对人造卫星与恒星成像,以恒星矢量作为相对基准,利用最小二乘法计算人造卫星的观测矢量,结合卫星星历轨道预报位置,确定载体位置线,并通过多次观测数据利用牛顿迭代法解算载体导航信息。分别从理论与仿真分析了本方法不同类型误差源对导航解算精度的影响,仿真结果表明,在卫星指向测量精度为0.02°条件下对低轨卫星进行跟踪观测,定位精度优于100 m;在卫星指向测量精度为1'条件下对4颗300 km轨道高度卫星进行观测,定位精度优于100 m,且当观测卫星数量增加到8颗时,定位精度可进一步提升35%。所提出的方法能够自主确定位置信息,为新型天文导航设备研制提供新思路,在卫星星座大量部署的背景下具有潜在的工程应用价值。

       

      Abstract: The celestial navigation detects the celestial bodies through measuring instruments and calculates the navigation information of the carrier. It has the characteristics of strong concealment and no accumulation of errors over time. However, the traditional celestial navigation is heavily dependent on the horizontal attitude of the inertial measurement unit(IMU) and the navigation precision is limited. Based on the characteristics of satellite/stars, this paper presents a celestial navigation method based on optical observations of satellite/star. The star sensor is used to simultaneously image the satellite and stars. Taking the star vector as the relative reference, the observation vector of the satellite is calculated by the least square method. Combined with the satellite's ephemeris orbit prediction position, the line of position is determined. Through multiple observation vectors, the navigation information of the carrier is solved by the Newton iterative method. The influences of different types of error sources of this method on the accuracy of navigation solution are analyzed respectively from theoretical and simulation perspectives. The simulation results show that when tracking and observing low-orbit satellites with a satellite pointing measurement accuracy of 0.02º, the navigation accuracy is better than 100 m. Under the condition that the satellite's pointing accuracy is 1′, four satellites in a 300 km orbit are observed, and the navigation accuracy is better than 100 m. When the number of observed satellites increased to 8, the navigation accuracy improved by 35%. The method proposed in this paper enables autonomous position determination, offering a novel approach for the development of next-generation celestial navigation equipment, and holds potential engineering application value in the context of large-scale satellite constellation deployment.

       

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