Computer Science – Numerical Analysis
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989stin...9014157g&link_type=abstract
Final Report No. 2, 31 Oct. 1984 - 31 Oct. 1988 Stuttgart Univ. (Germany, F.R.). Dept. of Geodetic Science.
Computer Science
Numerical Analysis
Celestial Navigation, Numerical Analysis, Position (Location), Stars, Accuracy, Nonlinear Equations, Simulation
Scientific paper
This study was performed to determine, through a literature survey and interviews with appropriate experts, the types and characteristics of instruments and techniques used in Europe for astronomic positioning in the field, and to make recommendations as to the proper direction for future research. The first technical report contained a detailed simulation study about the possible accuracy of astronomic positioning in the field. The simulation study was based on the assumption that the objects of field observations, the stars, are perfectly known, including also the various astronomic reductions such as proper motion, aberration, parallax etc. The second technical report, therefore, allowed some uncertainty of the star position. We present a detailed analysis of how to proceed once only dispersive pior information about star positions is available. The nonlinear condition equations are linearized by a two-step Taylor series expansion accounting for stochastic information 2, delta of right ascension and declination, the parameters of star positions. A numerical analysis is presented in the final report.
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