The optical field angle distortion calibration feasibility study for the Hubble Space Telescope fine guidance sensors

Mathematics

Scientific paper

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Angles (Geometry), Calibrating, Distortion, Feasibility Analysis, Guidance Sensors, Hubble Space Telescope, Optical Measurement, Accuracy, Algorithms, Data Processing, Simulation, Stability

Scientific paper

The results of an analytical study to investigate the feasibility of calibrating the Hubble Space Telescope's (HST's) fine guidance sensors (FGSs) within HST mission accuracy limits are presented. The study has two purposes: (1) to determine the mathematical feasibility of the optical field angle distortion (OFAD) calibration algorithm and (2) to confirm that the OFAD, plate scale, and FGS-to-FGS alignment calibration algorithms produced a calibration of the FGSs that satisfied mission requirements. The study concluded that the mathematical specification of the OFAD algorithm is adequate and permits a determination of the FGS calibration parameters (accurate to better than 0.003 arc-second) sufficient to meet the mission requirements. The algorithms implemented, the characteristics of the simulated data and procedures for data analysis, and the study's results are discussed. In addition, several useful techniques for improving the stability and accuracy of the OFAD solution are outlined.

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