Research on Design of FAST Active Reflector Adjustment Strategy Based on Coordinate System Transformation

Abstract:
Hongrui Kou, Wenyuan Chen, Wenjie Yang, Zhulin MaoFast is the world's largest and most sensitive single-aperture radio telescope. Firstly, the ideal paraboloid is obtained in this paper by giving the two-dimensional sectional view of the main reflector and combining the known relevant geometric parameters. At the same time, considering the limitation of the adjustment range of the reflector and the possible engineering errors in the actual situation, we introduce the error correction coefficient, determine the range of the correction coefficient through the 0-1 model, and give the modified ideal paraboloid equation. Then, given the angle, the vertex coordinates of the ideal paraboloid are obtained by combining the spherical equation and the point equation. The improved general ideal paraboloid equation is obtained by introducing the rotation matrix for rotation transformation. Finally, after solving the required data by MATLAB programming, the inverse tra nsformation is returned to the original spatial coordinate system, and the actual position coordinates and numbers of the corresponding main cable nodes are obtained. The Lagrange multiplier method is used to solve the expansion and contraction of the actu ator.