Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005jsrs.meet..128b&link_type=abstract
In: Journées 2004 - systèmes de référence spatio-temporels. Fundamental astronomy: new concepts and models for high accuracy obs
Astronomy and Astrophysics
Astronomy
1
Astrometry, Astronomical Geodesy
Scientific paper
In this paper an algorithm for the simultaneous and at the same time rigorous determination of the astronomical coordinates is described: the latitude, longitude and astronomical azimuth, by means of an universal device (total electronical station). We have taken as a basis the azimuthal and zenithal angular observations for a large number of stars, uniformly distributed on the celestial sphere, without using observation ephemerides. Through the introduction of an adequate matrix of weights, the unequal weights of all direct measurements are taken into account: the angular measurements and times at the chronometer. By applying the theory of conditional measurements with unknowns, we obtain one rigorous algorithm for the determination with maximum efficiency of all three fundamental elements of astronomical geodesy. This is the typical case of different accuracy measurements, in which the weights provide uniformity to the final accuracy of the results and to their coherence. It is important to remark that the determination of the three fundamentals elements of the astronomical geodesy, with accuracy and rapidity, is a present problem in the context of GPS technology, as a method of detail studying of both the geoid and the deviation of the geoid from the adopted reference ellipsoid.
Badescu Octavian
Popescu P. P.
Popescu Radu
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