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Report of the IAU Working Group on ‘Nonrigid-Earth Nutation Theory’
Published online by Cambridge University Press: 12 April 2016
Abstract
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The last precession-nutation model adopted by the IAU (International Astronomical Union) in 1980 is the nutation series built on Wahr’s Earth transfer function for the nutations of an oceanless elastic Earth (Wahr, 1979, 1981), and on Kinoshita’s rigid-Earth precession-nutation series (Kinoshita, 1977; Kinoshita et al., 1979). The resulting precession and nonrigid-Earth nutation series have been used since that time and have been compared with observations. This comparison, which has been done by different teams all-over the world, shows that the theoretical series must be improved to meet observational precision. A Working Group (WG) was set up to examine the possibility of adopting a new nonrigid-Earth nutation series and to study the existing possibilities. On the one hand, the rigid-Earth nutation series have been improved (three new series) and the mutual differences have been shown to be less than a few hundreds of microarcseconds. On the other hand, new Earth transfer functions have been derived based on additional physical considerations within the Earth. The problem with these transfer functions however is that there is no reliable, independent information about the geophysical parameters needed to improve a theoretical model. Instead, the discrepancies with the nutation observations themselves are used to infer those parameters. Recent fits of geophysical parameters to the observed nutations have provided a series that is suitable for practical use, and is also a source of important information on the physics of the Earth’s interior. This paper reviews the recent work of the WG and establishes the reasons and criteria for the choice of the new model ‘IAU 2000’ which is proposed for adoption at the next IAU General Assembly.
- Type
- Section 2. Improved Definitions and Models
- Information
- International Astronomical Union Colloquium , Volume 180: Towards Models and Constants for Sub-Microarcsecond Astrometry , March 2000 , pp. 201 - 211
- Copyright
- Copyright © US Naval Observatory 2000
References
Bretagnon, P., Francou, G., Rocher, P., and Simon, J.-L., 1998, “SMART97: a new solution for the rotation of the rigid Earth,” Astron. Astrophys., 329, 329–338.Google Scholar
Bretagnon, P., Mathews, P.M., Rocher, P., and Simon, J.-L., 2000, “Nonrigid Earth rotation solution,” this volume.Google Scholar
Dehant, V., Arias, F., Bizouard, Ch., Bretagnon, P., Brzezi/’nski, A., Buffett, B., Capitaine, N., Defraigne, P., de Viron, O., Feissel, M., Fliegel, H., Forte, A., Gambis, D., Getino, J., Gross, R., Herring, T., Kinoshita, H., Klioner, S., Mathews, P.M., McCarthy, D., Moisson, X., Petrov, S., Ponte, R.M., Roosbeek, F., Salstein, D., Schuh, H., Seidelmann, K., Soffel, M., Souchay, J., Vondrák, J., Wahr, J.M., Weber, R., Williams, J., Yatskiv, Y., Zharov, V. and Zhu, S.Y., 1999, “Considerations concerning the non-rigid Earth nutation theory,” Celest. Mech. Dynamical Astron., 72, 245–310.Google Scholar
Dehant, V. and Defraigne, P., 1997, “New transfer functions for nutations of a non-rigid Earth,” J. Geophys. Res., 102, 27, 659-27, 688.Google Scholar
Ferrándiz, J.M. and Getino, J., 2000, “Advances in the unified theory of the rotation of the nonrigid Earth,” this volume.Google Scholar
Gegout, P., Hinderer, J., Legros, H., Greif, M. and Dehant, V., 1998, “Influence of atmospheric pressure on the Free Core Nutation, precession and some forced nutational motions of the Earth,“ Phys. Earth planet. Inter., 106, 337–351.Google Scholar
Huang, C.L., Jin, W.J., Liao, X.H., 2000, “A new nutation model of non-rigid Earth with ocean and atmosphere,” in: McCarthy, D.D. ed., Proc. of IAU Colloquium 180, “Towards Models and Constants for Sub-Microarcsecond Astrometry”, March 27-31 2000, Washington DC, USA, this volume.Google Scholar
Kinoshita, H., 1977, “Theory of the rotation of the rigid Earth,” Celest. Mech., 15, 277–326.Google Scholar
Kinoshita, H., Nakajima, K., Kubo, Y., Nakagawa, I., Sasao, T. and Yokohama, K., 1979, Note on nutation in ephemerides., Publ. Int. Lot. Obs. Mizusawa, 12, 71–108.Google Scholar
Mathews, P.M., Buffett, B.A., Herring, T.A. and Shapiro, I.I., 1991a, “Forced nutations of the Earth: Influence of inner core Dynamics. I. Theory,” J. Geophys. Res., 96, 8219–8242.Google Scholar
Mathews, P.M., Buffett, B.A., Herring, T.A. and Shapiro, I.I., 1991b, “Forced nutations of the Earth: Influence of inner core Dynamics. II. Numerical results and comparisons,” J. Geophys. Res., 96, 8243–8258.Google Scholar
Mathews, P.M., Herring, T.A., Buffett, B.A., 2000a, “Modeling of nutation-precession: New nutation series for nonrigid Earth, and insights into the Earth’s interior,” J. Geophys. Res., submitted.Google Scholar
Mathews, P.M., Herring, T.A., Buffett, B.A., 2000b, “Improved Models for Precession and Nutation,” this volume.Google Scholar
Roosbeek, F. and Dehant, V., 1998, “RDAN97: an analytical development of rigid Earth nutation series using the torque approach,” Celest. Mech. Dynamical Astron., 70, 215–253.Google Scholar
Schastok, J., 1997, “A new nutation series for a more realistic model Earth,” Geophys. J. Int., 130, 137–150.Google Scholar
Shirai, T. and Fukushima, T., 2000a, “Improvement of non-rigid Earth nutation theory by adding a model free core nutation term,” Astron. J., submitted.Google Scholar
Shirai, T. and Fukushima, T., 2000b, “Numerical convolution in the time domain and its application to the non-rigid Earth nutation theory,” Astron. J., accepted.Google Scholar
Souchay, J., Loysel, B., Kinoshita, H., and Folgueira, M., 1999, “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.Google Scholar
Souchay, J. and Folgueira, M., 2000, “The effect of zonal tides on the dynamical ellipticity of the Earth and its influence on the nutation,” Earth, Moon and Planets, in press.Google Scholar
Wahr J.M., , 1979, “The tidal motions of a rotating, elliptical, elastic and oceanless Earth,” Ph.D. thesis, Univ. of Colo., Boulder, 216 pp.Google Scholar
Wahr, J.M., 1981, “The forced nutations of an elliptical, rotating, elastic and oceanless Earth,” Geophys. J. R. astron. Soc., 64, 705–727.CrossRefGoogle Scholar
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