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Active control of a thin, deformable mirror is one approach to obtaining diffraction-limited performance from large orbiting telescopes. The control system design requires knowledge of the mirror reaction to the multiple forces used to maintain the desired mirror figure. A structural analysis program is used to obtain estimates of the static deflections of a point-loaded, thin, shallow, spherical primary mirror. The calculated deflections are compared to experimentally measured deflections for a specific configuration.
Creedon et al. (1969) studied this question.