Astrometric satellite HIPPARCOS: Gridstep inconsistency correction during reduction on circles

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Astronomical Coordinates, Data Reduction, Hipparcos Satellite, Position Errors, Convergence, Error Analysis, Iteration

Scientific paper

Reduction of the HIPPARCOS satellite photon count data on 100,000 stars (100 billion counts) to 2000 so-called reference circle coordinate grids is discussed. Pre and post adjustment procedures were derived and tested. The postadjustment procedure does not need fewer iterations if it is preceded by the preadjustment procedure. It can happen that the iteration does not converge to a consistent solution at all. So a final procedure should not consist of a combination of the pre and postadjustment methods. Most promising is sequential adjustment, because apart from resolving the inconsistencies, it can be used for the improvement of approximate values. If inconsistencies remain after the sequential adjustment the postadjustment method can be used. Not all gridstep errors are detected in the circle reduction. After this step gridstep errors remain in the form of shifts of the adjusted star abscissae over one or more gridsteps. These errors result in inconsistencies, to be resolved in the sphere reconstitution.

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