Research on Adjustment of FAST Active Reflector System Based on Rodriguez Formula

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Firstly, aiming at the establishment of the ideal paraboloid equation, this paper uses MATLAB and other software to fit the data to obtain the model in the reference state, establishes the rotating surface model of the working paraboloid in the lighting area, and determines the ideal paraboloid equation. Then, when the object to be measured is at a non-special angle, the model can be rotated to the ideal paraboloid. Through the intersection of the ideal paraboloid and the straight line and limiting the expansion range of the actuator, the new paraboloid equation can be obtained by MATLAB software, and then the position vector of the initial observed object can be obtained by Rodriguez's derivation model. Finally, according to the design principle of the celestial eye, the plane equation of the electromagnetic wave is obtained, and all the main cable points are substituted. It can be obtained that the acceptance ratio of the working paraboloid is 0.79 and the acceptance ratio of the original spherical surface is 0.022.