Application of a hybrid least squares algorithm in astronomical positioning

摘要

In order to reduce the digital zenith camera identify stars data that exist in the gross error influence on astronomical calculating, improve positioning accuracy. The mapping relation between the CCD image coordinate system and the celestial tangent plane coordinate system is established by using the robust weighted hybrid least squares algorithm. Using the least squares algorithm did not consider of the errors in the coefficient matrix and the data of the gross error. So the least squares algorithm and the total least squares algorithm are effectively combined to form the hybrid least squares algorithm. Then the hybrid least squares algorithm is used for robust weighting, reduced the identify stars possible gross error in the data, and reasonable weight matrix is set in conjunction with the magnitude. Experiments show that the robust weighted hybrid least squares algorithm has high accuracy in astronomical solution.