Mathematics – Probability
Scientific paper
Aug 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004head....8.4403a&link_type=abstract
American Astronomical Society, HEAD meeting #8, #44.03; Bulletin of the American Astronomical Society, Vol. 36, p.1208
Mathematics
Probability
Scientific paper
This paper presents a telescope level error budget for the Generation X telescope. The budget will include terms for the intramodule alignment as well as the alignment of the mirror assembly to the focal plane. A simplified model of the point spread function from each mirror module is introduced including the effects of misalignment on the half power diameter (HPD) of the image of a point source. The HPD of the misaligned system is compared to the HPD of an ideal system to determine a figure of demerit quantifying the degradation of image quality due to imperfect alignment. The alignment tolerances are treated as parameters of a probability distribution and used as inputs to a Monte Carlo calculation of telescope performance and a distribution of HPDs is generated. From this distribution, the probability of exceeding a given degradation of the intrinsic performance is generated. These probabilities are then fit to alignment tolerances to identify influential parameters and an initial budget allocation.
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