For fast telescope, when the observation object is directly above the reference sphere, this paper first analyzes that the adjustment of the reflection panel is affected by the radial expansion range of the actuator, the variation amplitude of the main cable node, the ideal parabolic equation, the working aperture and the mean square error rate, so as to list the constraint conditions and objective function. Then the problem is transformed into a single objective optimization problem by using ergodic algorithm and genetic algorithm. Finally, the equation of the ideal paraboloid and the distance amplitude between the paraboloid and the reference sphere are determined.
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