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Alignment Estimation and Control of the James Webb Space Telescope Mirrors Using Decomposition of an Influence Matrix

机译:利用影响矩阵的分解估计和控制詹姆斯·韦伯太空望远镜镜

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The James Webb Space Telescope (JWST) is a three-mirror anastigmatic telescope. For a "blind" telescope alignment estimation and control study at the Goddard Space Flight Center (GSFC), influence functions for each of the primary mirror's 18 segments (6 degrees of freedom each) and for the secondary mirror (5 degrees of freedom) were used to construct a 113-element influence matrix. The singular value vector obtained from pseudoinverse of this influence matrix indicates that the most dominant modes in the control of the telescope are rotation, piston, clocking and translation, in order of significance. The application of an iterative-control algorithm to ten cases of random misalignments, involving both the primary segmented mirror and secondary mirror, shows strong convergence after 5 iterations in most of the cases.
机译:詹姆士·韦伯太空望远镜(JWST)是三反射镜无视望远镜。在戈达德太空飞行中心(GSFC)进行的“盲”望远镜对准估计和控制研究中,主镜的18个部分(每个6个自由度)和次镜(5个自由度)的影响函数分别为用于构建113个元素的影响矩阵。从该影响矩阵的伪逆获得的奇异值矢量表明,按重要性顺序,望远镜控制中最主要的模式是旋转,活塞,计时和平移。迭代控制算法在涉及主分段镜和次镜的十种随机失准情况下的应用在大多数情况下显示了经过5次迭代后的强收敛性。

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