Spectrum of the Bordeaux transit circle residuals

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Atmospheric Effects, Power Spectra, Reference Systems, Seeing (Astronomy), Autocorrelation, Scintillation, Standard Deviation, Turbulence Effects

Scientific paper

This paper discusses the residuals in right ascension and declination from the Bordeaux fully automated transit circle, corresponding to a two years period. It is shown that the solution can be improved by adding statistically significant terms to the reduction model. The correlation between the residuals, considered as a sample of a stochastic stationary process, displays a weak dependence on the declination difference and may be treated as a function of a single variable, the right ascension lag. The characteristics of the autocorrelation curves can be interpreted as derived from a power spectrum with two components: a low frequency power law and a flat spectrum. A fitting gives S(nu) = 20 10-6nu-1.37 + 1.3 and S(nu) = 89 10-6nu-1.37 + 2.0 for the right ascension and declination residuals, respectively, where the frequency unit is Hz and the power spectrum is expressed in arcsec2/Hz. The expressions are valid in the frequency interval from 3 10-5 to 3 10-2 Hz. These spectra are compatible with HOg(1968). It is shown that a part of the low frequency spectrum can be removed by the adoption of a reduction model which includes empirical higher order terms.

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