The sphere reconstitution problem in the HIPPARCOS project

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Astronomical Coordinates, Hipparcos Satellite, Image Processing, Spaceborne Telescopes, Data Reduction, Stellar Motions

Scientific paper

The accuracy of two procedures for solving the sphere reconstitution problem for the Hipparcos project is evaluated. This problem involves deriving the astrometric parameters (positions, proper motions, and parallax) of about 40,000 primary stars from the abscissae. These procedures involve: (1) solving condition equations where the observed data are arcs between stars, and (2) solving condition equations where the observed data are the abscissae themselves. Both methods are found to attain an accuracy of about 0.002 arcsec in each astrometric parameter.

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