General and numerical approach to the sphere solution in FAST

Statistics – Computation

Scientific paper

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Computerized Simulation, Data Reduction, Great Circles, Nonlinear Programming, Reference Stars, Astrometry, Covariance, European Space Programs, Feasibility Analysis, Hipparcos Satellite, Linearization, Teams

Scientific paper

The general approach to the sphere solution problem, as adopted by the FAST (fundamental astronomy by space techniques) consortium, for the Hipparcos satellite data reduction, is presented. It consists in the combination of the reference great circle data sets accumulated throughout the mission, and the solution for the great circle zero points, and is carried out on a subset of 40 to 60,000 of the program stars. In the scope of the analysis the following tasks are discussed: the nonlinear least squares problem; the system resolution; the computational complexity, the feasibility and the choice of the method; the variance-covariance matrix; and the numerical features of the system. Simulations show that, based on only half a year of data, program star positions with an accuracy of about 10 milli arcsec is achieved. Moreover, the full astrometric accuracy results from a treatment of the full 2.5 years of mission data.

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