Study of Modern Instrumentation and Methods for Astronomic Positioning in the Field
Abstract
The traditional task of geodetic astronomy as seen from the viewpoint of practical geodesy is the determination of three spatial orientation parameters of a vertically set up observation instrument relative to a global reference frame fixed in the earth. For this horizontal and vertical directions are measured at registered instants to stars. The required parameters are the astronomical longitude and the astronomical latitude, which fix the direction of the local gravity vector relative to the earth fixed reference frame, and the horizontal orientation unknown of the instrument, which yields the astronomical azimuths in connection with the measured horizontal directions to terrestrial objects. A spatial reference frame is here understood as a triad of orthonormal base vectors, which is fixed to a distinct origin point and which is taken as being rotationally and translationally invariable in time. The presentation used in this report is based upon orthonormal triads of base vectors of different reference frames. A compact and strictly systematical presentation is obtained by a commutative diagram of transformations between the respective bases. Fundamental relations between the parameters of geodetic astronomy result from this commutative diagram. These relations are transformed in such a way that a system of condition equations with unknowns ensures, the Gauss-helmet model of the adjustment calculation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1987
- Accession Number
- ADA196088
Entities
Organizations
- University of Stuttgart