Worldwide geometric satellite triangulation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Geodesy, Position Errors, Satellite Tracking, Tracking Stations, Triangulation, Doppler Effect, Error Analysis, Geodetic Surveys, Photogrammetry, Photographic Tracking

Scientific paper

By applying the method of geometric satellite triangulation, the three-dimensional positions of 45 stations distributed around the world were determined with an average positional mean error of plus or minus 4.5 m. Error theoretical investigations indicate that the result, derived in principle by interpolation into the astronomical right ascension-declination system, is essentially free of significant systematic errors. A comparison of this result of the geometric method with the corresponding result obtained by dynamic satellite geodesy from Doppler data show excellent overall agreement. A combination solution that fully respects the covariance of the photogrammetrically derived directions leads to mass-centered station positions with an average positional mean error of plus or minus 3.7 m. The scale of the system, determined by several scalars measured on the earth's surface, suggests an equatorial radius for a best-fitting ellipsoid of 6.378,130 m.

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