Limited accuracy of asteroid trails estimation at observations with CCD detectors

Details Limited accuracy of asteroid trails estimation at observations with CCD detectors Limited accuracy of asteroid trails estimation at observations with CCD detectors

Nov 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002esasp.500..405b&link_type=abstract

In: Proceedings of Asteroids, Comets, Meteors - ACM 2002. International Conference, 29 July - 2 August 2002, Berlin, Germany. Ed

Statistics

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Minor Planets: Trails, Ccd Observations

Scientific paper

Sometimes, "trail objects" were detected by CCD together with point-like ones during observations of minor planets. It is necessary to use the special methods of data processing to estimate parameters of such objects. The problem of accurate estimation of "fast" asteroids position has been considered from fundamental and applied points of view. First of all, the limited astrometric estimates of asteroid trails have been studied by means of Cramer-Rao information inequality. Cramer-Rao theorem about minimum variance bound fundamentally limit the accuracy of any estimate at a given signal-to-noise ratio. For many practical applications Maximum Likelihood Method gives asymptotically unbiased estimate closed to the "Cramer-Rao Lower Boundary". We have been investigating the properties of this method as applied to the problem of asteroid track astrometry. Moreover, the influence of the different observational conditions was considered. Numerous computer simulations show effectiveness of Maximum Likelihood Method for the solution of this problem.

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