Large-Scale Distortions of Hipparcos-like Coordinate Systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The problem of accidental error propagation in the most general `global solution' of a Hipparcos-like mission for coordinates of stars is addressed. Unlike the one-dimensional intermediate `star-abscissae' solution, which has actually been used in the Hipparcos reductions, the global solution is free of wild amplification of random errors at certain harmonics, thanks to the intrinsic smoothing capability of angular measurements on the sphere. The choice of a basic angle is therefore not a critical issue for a future satellite. The astrometric reference frame is expected to be rigid with any basic angle in the range of 30 deg to 150 deg, as demonstrated by means of a spherical harmonic technique. A basic angle of 90 deg would be a good choice, for example.

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