Determination of the Trajectory of a Moving Platform

des Instituts für Geodäsie

Heft 20-2/1985

Determination of the
Trajectory of a Moving Platform
Using GPS Carrier Phase

Technical University Graz / Austria

Benjamin W. REMONDI
National Geodetic Survey, Rockville / USA


In: WELSCH, Walter M. / LAPINE, Lewis A. (Hrsg.) [1985]:
International Federation of Surveyors - FIG -
Proceedings Inertial, Doppler and GPS Measurements for National and Engineering Surveys
Joint Meeting of Study Groups 5B and 5C, July 1-3, 1985

Schriftenreihe Universitärer Studiengang Vermessungswesen, Universität der Bundeswehr München, Heft 20-2, Neubiberg, S. 443-462.


Using satellite measurements at different epochs, and assuming continuous phase tracking, various observation equations can be formulated. To use the so-called triple difference equation, at least 2 stations, 2 satellites and 2 epochs are needed in order to obtain one equation. A triple difference observation over the intrval ti to ti+1 for satellites j and k can be seen as the difference between delta single differences of the satellites j and k. Finally, the delta single difference ca be formulated as a change in range. Therefore triple differences are well suited if station 1 is fixed and station 2 is moving. On the base of triple differences, a system of formulae is derived which leads to a least squares adjustment and results in the aclculation of station 2 at epoch ti+1. The numerical examples show that under optimum conditions the proposed method yields the coordinates for a moving station to an accuracy of millimeters in seconds. In practice redundant satellites and redundant measurements will be required to achieve subcentimeter accuracy.

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