An Optimized Model for the Approximate Iterative Adjustment of the "FAST" Active Reflector

Abstract

This paper analyzes the relevant data and finds that the angle formed by the upper endpoint, the lower endpoint, and the main cable node of 2216 groups of actuators is between 179.95° and 180°. Therefore, it is considered that the main cable nodes move mainly in the radial direction, and only a small amount of tangential displacement occurs. Then, mathematical models are established for the radial and tangential displacements, and after several iterations, the coordinates before and after the displacement of the main cable node are obtained. Since the adjustment factors of the reflective panel need to be considered in combination, the reflective panel is easy to adjust. The shortest total telescopic distance of the actuator is the optimization goal, and the optimization model is established with the adjustment factors and other constraints as the constraints.