On the IAU 2000/2006 precession–nutation and comparison with other models and VLBI observations
- 252 Downloads
In this paper, we discuss the fundamental aspects of the semi-analytical precession–nutation models that were adopted by IAU Resolutions in 2000 and 2006. We show that no significant discrepancies appear between those models (Mathews et al., J Geophys Res 107:B4, ETG 3-1–3-26, 2002, Capitaine et al., Astron Astrophys 412:567– 586, 2003) and other semi-analytical solutions or the INPOP06 numerical integration (Fienga et al., Astron Astrophys 477:315–327, 2008), especially for the quadratic terms. We also report on the most recent comparisons of the models with VLBI observations. We have employed different empirical models to fit the residuals, in attempting to characterize the nature of the observed curvature. The efficiencies of those empirical models are compared and their interpretations in terms of physical mechanisms are discussed. We show that a combination of linear and 18.6-year corrections is the most credible model for explaining the currently observed residuals, but that a longer span of observations is required before the true character of the effect can be determined. We note that the predictions from the ERA-2005 theory (Krasinsky, Celest Mech Dyn Astron 96:169–217, 2006) have diverged from recent VLBI results and suggest that the empirical nature of the ERA model is responsible.
KeywordsEarth rotation Precession-nutation VLBI observations Reference systems
Unable to display preview. Download preview PDF.
- Brumberg, V.: Essential Relativistic Celestial Mechanics. Adam Hilger, Bristol (1991)Google Scholar
- Buffett, B.A., Mathews, P.M., Herring, T.A.: Modeling of nutation and precession: effects of electromagnetic coupling. J. Geophys. Res. 107, B4, ETG 5-1–5-14 (2002). doi: 10.1029/2000JB000056
- Capitaine, N., Mathews, P.M., Dehant, V., Wallace, P.T., Lambert, S.: Comparisons of precession-nutation models. In: Finkelstein, A., Behrend, D. (eds.) Proceedings of the fifth IVS General Meeting, Russian Science Series pp. 211–220 (2008)Google Scholar
- IERS Conventions 2003, IERS Technical Note 32. McCarthy, D.D., Petit, G. (eds.) Verlag des Bundesamts für Kartographie und Geodäsie, Frankfurt am Main (2004)Google Scholar
- Krasinsky, G.: Secular decrease of the Earth’s ellipticity from the analysis of VLBI data of 1984–2006, and the long-term systematic errors of the precession-nutation models IAU 2000 and IAU 2006. In: Finkelstein, A., Behrend, D. (eds.) Proceedings of the fifth IVS General Meeting, Russian Science Series, pp. 211–220 (2008a)Google Scholar
- Lambert, S.B., Mathews, P.M.: Second-order torque on the tidal redistribution and the Earth’s rotation. Astron. Astrophys. 453, 363–369 (2006), and Erratum, Astron. Astrophys. 481(3), 883–884 (2008)Google Scholar
- Mathews, P. M., Lambert, S.B.: Effect of mantle and ocean tides on the Earth’s rotation rate. Astron. Astrophys. Accepted (2008). doi: 10.1051/0004-6361:200810343
- Mathews, P.M., Herring, T.A., Buffett B.A.: Modeling of nutation and precession: New nutation series for nonrigid Earth and insights into the Earth’s interior. J. Geophys. Res. 107, B4, ETG 3-1–3-26 (2002). doi: 10.1029/2001JB000390
- Mathews, P.M., Capitaine, N., Dehant, V.: Comments on the ERA-2005 numerical theory of Earth rotation, arXiv:0710.0166 (2007)Google Scholar
- Sasao T., Okubo S., Saito M.: A simple theory on dynamical effects of stratified fluid core upon nutational motion of the earth. In: Federov, E.P., Smith, M.L., Bender, P.L. (eds) Proceedings of the IAU Symposium 78, pp. 165–183. D. Reidel Publishing Co., Dordrecht (1980)Google Scholar
- Souchay J., Loysel B., Kinoshita H., Folgueira M.: Corrections and new developments in rigid Earth nutation theory. III. Final tables “REN-2000" including crossed-nutation and spin-orbit coupling effects. Astron. Astrophys. 135, 111–131 (1999)Google Scholar