The Gaia mission, which launched in 2013, will advance the field of astrometry much further. These algorithms improve over existing methods for extracting streaking space object information from wide-angle images. Astrometry will be more sensitive to planets with large orbits, which is an advantage it has over some of the other methods. The method for extracting the streak is then demonstrated against a sub-optimal method to show that the method extracts all observable information in the streak. Both an analytical and computational method for determining the appropriate number of segments are discussed. Next a method is discussed for information optimal streak extraction based on breaking an observed streak into constant intensity streak segments. This method is theoretically capable of less than 0.8 pixel residual error across the image assuming correct association between the observed stars and catalog. First, an empirical method for image calibration based on a Delaunay triangulation with vertices defined by observed and catalog star locations is outlined. This paper approaches both of these problems separately. Additionally, the photometric intensity and corresponding uncertainty of a streaking object should be extracted in an information optimal manor. Popular methods for correcting for distortion assume basic symmetries in optical systems that may not be reflected in reality. Wide-angle lenses can introduce significant distortion into images.
Extracting the astrometry and photometry of an observed object in an optical image can be complicated by a number of factors.
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