Space astrometry project: Reduction by multilateration

Details Space astrometry project: Reduction by multilateration Space astrometry project: Reduction by multilateration

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975spam.rept...37b&link_type=abstract

In ESRO Space Astrometry p 37-42 (SEE N75-30957 21-89)

Astronomy and Astrophysics

Astronomy

Astrometry, Data Reduction, Spaceborne Telescopes, Spacelab, Celestial Sphere, Mathematical Models, Parallax, Peeling, Triangulation

Scientific paper

For the Spacelab option, the unknowns (positions, parallaxes, proper motions, instrument constants) and the data (extent catalogs, measured arcs) are specified and enumerated. In a simple mathematical model, the minimal number of data needed for the problem to be solvable is specified, and in the case of superabundant data the variance of the unknowns is determined. The concepts of mobility, rigidity, peeling and kernel are introduced. Numerical experiments on a star sample provide the necessary redundancy of measured arcs. For the parallax determination, observational schemes in which the arcs are measured 2 or 3 times are proposed, with their subsequent precisions.

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