机构地区: 第二炮兵工程学院
出 处: 《清华大学学报(自然科学版)》 2010年第5期729-734,共6页
摘 要: 针对CCD星敏感器的姿态方位传递误差,提出一种参考立方体法线的多方位天文标定最优估计方法。该方法基本思想为:在包含标定点天顶矢量的大圆内绕镜面法线进行多次测量,由所得姿态矩阵获得镜面法线方向的最优估计。文中构造了镜面法线估计的损失函数,并证明使该损失函数取得最小值的解是一个三阶矩阵最小特征值对应的特征向量,该三阶矩阵由测量所得姿态矩阵构造而成。分析表明,在测量噪声满足正态分布的假设下,该最优估计为镜面法线的极大似然估计。理论分析及仿真实验表明:最优估计算法计算精度高,算法简单并可自校验,具有实用价值。 This paper presents a method for the calibration of the CCD star sensor reference cube mirror surface normals with respect to the measurement coordinate frame.The mirror surface normals are calibrated using the attitude measurements obtained on points along the great circle containing the zenith vector of the measurement site.Analyses show that the optimal estimate,which minimizes the loss function of the mirror surface normals,is the eigenvector corresponding to the minimum eigenvalue of a three-order matrix calculated by the measurement attitudes matrices.The optimal estimate is the maximum likelihood estimate under the normal noise assumption.The method is simple and precise with high practical value.
领 域: [航空宇航科学与技术] [航空宇航科学技术]