Selected Sets of Nutation Parameters for Estimation over Limited Observation Spans

Astronomy and Astrophysics – Astronomy

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Scientific paper

The IAU 2000A Precession-Nutation Model consists of 678 lunisolar terms and 687 planetary terms of nutation, which provide high accuracy level of coordinate transformations. Nevertheless the uncertainties of the nutation coefficients will cause residual systematic errors in the form of various parasitic oscillations in observation processing. In some cases including estimation of nutation coefficients in observation processing can decrease the influence of these systematic errors. Unfortunately the simultaneous determination of all nutation coefficients directly from the existing observations is impossible due to close frequencies of some nutation terms, which beating periods are greater than several centuries. Other nutation terms have 18.6-year beating periods or below. Here two selected sets of nutation parameters are proposed for estimation by means of permanently collected observations during the period greater than 18.6 years. These sets of parameters include nutation terms with amplitudes above 1 mas. The simulation of observation processing is made by means of longitude and obliquity time series of the IAU 2000A Precession-Nutation Model as observations at 18.6-year and a century time spans. The random normally distributed observation errors are simulated in two cases - one with low noise level, corresponding to the VLBI observations over 18.6-year span, and second with high noise level, corresponding to the astrometrical observations over a century span. The estimated parameters are compared with the corresponding approximations with no random errors. The proposed sets of nutation parameters for estimation over limited observation spans may play important role for investigations of various cyclic processes which intrinsic periodicities belong to the nutation periods band from several days to 18.6 years.

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