Study of modern instrumentation and methods for astronomic positioning in the field

Computer Science – Numerical Analysis

Scientific paper

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Celestial Geodesy, Numerical Analysis, Position (Location), Positioning, Stars, Accuracy, Nonlinear Equations, Simulation

Scientific paper

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. Here one allows for some uncertainty of the star position: a detailed analysis of how to proceed is presented once only dispersive prior information about star positions is available. The nonlinear condition equations are linearized by a two-step Taylor series expansion accounting for stochastic information alpha, delta of right ascension and declination, the parameters of star positions. A numerical analysis will be presented in the Final Report.

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