Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phdt.........5r&link_type=abstract
Ph.D. Thesis - Stuttgart Univ., West Germany Deutsche Geodaetische Kommission, Munich (Germany, F.R.).
Astronomy and Astrophysics
Astronomy
Geodetic Coordinates, Inertial Reference Systems, Nonrelativistic Mechanics, Coordinate Transformations, Earth Rotation, Gravitational Fields
Scientific paper
The functional model of geodetic astronomy was analyzed with regard to the usual hypotheses concerning known star coordinates, known Earth orientation, and the various commonly applied reductions. A systematic presentation of the traditional solution without reduction effects is given in the form of a commutative diagram of transformations between natural reference frames defined by a sequence of fundamental vectors, resulting in a basic equation of geodetic astronomy in matrix form. The effects of deformation of the Earth and its gravitational field on astronomical observations are discussed. A novel conception of reference frames is suggested, in which the traditional hierarchy based on a set of fundamental vectors is completely replaced by three conventional reference frames. The relative orientations of these three reference frames have to be described by three time-dependent parameters.
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