基于星像位置误差估计星敏感器姿态角偏差的方法

利用传统的反正切法估算星敏感器测量姿态角偏差时,存在因计算量大干扰算法实时性等问题。针对上述问题,文中提出了根据星像位置误差直接估算星敏感器姿态角偏差的方法。通过分析星敏感器姿态测量原理,推导出星敏感器姿态角变化量对星像位置影响的数学关系式,进而在小视场条件下,得到星像位置误差与星敏感器姿态角测量偏差的公式。该公式计算过程简单,避免了大量的反正切计算。仿真结果表明,在相同的仿真实验条件下,该方法的计算时间比传统方法缩短了近四分之一,且该方法的计算精度也优于传统的反正切法。理论推导和仿真实验说明该方法具有计算量小、实时性好且精度较高的优点,具有一定的工程应用价值。

Method of Estimating Star Sensor Attitude Angle Deviation Based on Star Position Error

When the traditional arctangent method is used to estimate the attitude deviation of the star sensor, there are problems such as the large amount of calculation that affects the real-time performance of the algorithm. Aiming at these problems, a new method that directly estimates the star sensor attitude angle deviation via the star position error was proposed in this study. The mathematical relationship between the star sensor attitude angle deviation and the star position was deduced based on the measurement theory of star sensor. Furthermore, in the condition of small field of view, the simplified quantitative formula between the star sensor attitude angle deviation and the star position was obtained. The simulation results indicated that the calculation speed of the proposed method was 25% faster than that of traditional method. Besides, the calculation accuracy of the new method was greater than traditional method. Theoretical derivation and simulation experiments demonstrated that the proposed method owned advantages such as small amount of calculation, good real-time performance and high precision, indicating the proposed method had certain engineering application value.