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基于新疆110m射电望远镜预研项目、南山天线改造计划和国家对航天领域的战略需求,对大型卡氏天线主面板变形的副面实时补偿作了深入研究。简单介绍了副面补偿的理论模型并用静力分析法得出若干特殊仰角下的调整量,进而运用MATLAB对调整量进行了高精度的数据拟合。给出了线性最小二乘法和正交多项式最小二乘法2种拟合方法拟合模型方程,通过误差分析从不同方面对比了拟合方法的效果,在阶数为4、精确至小数点后15位时,2种拟合方法的误差差值数量级为10-13 mm,且小于零。最终选择并应用精度更高的正交多项式最小二乘拟合方法在特定的俯仰角度范围内生成了部分调整量数据,为副反射面在任意俯仰角下的补偿过程创造了条件,满足了天文观测和航天深空探测对数据准确性和系统可靠性的要求,具有一定的实用性。
Based on the Xinjiang 110m radio telescope pre-research project, Nanshan antenna reconstruction plan and the state’s strategic needs in the aerospace field, deep research has been conducted on the real-time compensation of the major face of the large-scale Kabbashi antenna. A brief introduction of the theoretical model of the secondary compensation and the static analysis method to get some special adjustment of elevation angle, and then use MATLAB to adjust the amount of high-precision data fitting. The linear least square method and quadratic polynomial least square method are used to fit the model equations. The error analysis is used to compare the effects of the fitting methods in different aspects. , The error of the two fitting methods is on the order of magnitude of 10-13 mm and less than zero. Finally, the selection and application of more accurate orthogonal polynomial least squares fitting method in a certain range of pitch angle to generate part of the adjustment data for the secondary reflective surface at any pitch angle compensation process to create the conditions to meet the astronomy Observation and deep space exploration of spacecraft for data accuracy and system reliability requirements, has a certain practicality.