Dispersion and correlation among transformation parameters relating two satellite reference frames
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Date
1988-07
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Ohio State University. Division of Geodetic Science
Abstract
Two geodetic reference frames, as realized by constellations of navigation satellites, can be related through a set of seven similarity transformation parameters. The usually neglected correlations among the station coordinates which make up both frames are analyzed for their effects on the transformation parameter estimation. The effects of colocated station distribution are also analyzed. Translation parameter uncertainties are found to significantly increase when "intraframe", like-component correlation is present. A family of transformation parameters is developed for two specific frames [NSWC 9Z-2 and NAVSAT-realized WGS 84] under selected sets of postulated uncertainties and correlations among station coordinates. Evaluation and comparison of individual parameter sets developed in this study indicate differences among transformed coordinates at the level of a few centimeters. Indirect comparison of the NAVSAT-realized WGS 84 frame with a BTS defined by the BIH indicates that the origins of these two frames are coincident at a level of a few decimeters, their orientations differ at the level of two or three hundredths of an arc second and their scales differ by about .1 parts per million.