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Rigid-Earth Nutation Models

Published online by Cambridge University Press:  12 April 2016

J. Souchay*
Affiliation:
Observatoire de Paris, 61 Avenue de l’Observatoire, 75014 Paris, France

Abstract

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Despite the fact that the main causes of the differences between the observed Earth nutation and that derived from analytical calculations come from geophysical effects associated with nonrigidity (core flattening, core-mantle interactions, oceans, etc…), efforts have been made recently to compute the nutation of the Earth when it is considered to be a rigid body, giving birth to several “rigid Earth nutation models.” The reason for these efforts is that any coefficient of nutation for a realistic Earth (including effects due to nonrigidity) is calculated starting from a coefficient for a rigid-Earth model, using a frequency-dependent transfer function. Therefore it is important to achieve high quality in the determination of rigid-Earth nutation coefficients, in order to isolate the nonrigid effects still not well-modeled.

After reviewing various rigid-Earth nutation models which have been established recently and their relative improvement with respect to older ones, we discuss their specifics and their degree of agreement.

Type
Section 2. Improved Definitions and Models
Copyright
Copyright © US Naval Observatory 2000

References

Bizouard, Ch., Folgueira, M. and Souchay, J., 1999a, Proc. Journées 1999. Observatoire de Paris, (submitted).Google Scholar
Bizouard, Ch., Folgueira, M. and Souchay, J., 1999b, Procc. IAU Colloquium 178, 613.Google Scholar
Bretagnon, P., Rocher, P. and Simon, J.-L., 1997, Astron. Astrophys., 319, 305.Google Scholar
Bretagnon, P., Francou, G., Rocher, P. and Simon, J.-L., 1998, Astron. Astrophys., 329, 329.Google Scholar
Dehant, V. and Defraigne, P., 1997, J. Geophys. Res., 102, 27, 659.Google Scholar
Folgueira, M., Souchay, J. and Kinoshita, H., 1998a, Celest. Mech., 69, 373.CrossRefGoogle Scholar
Folgueira, M., Souchay, J. and Kinoshita, H., 1998b, Celest. Mech., 70, 147.CrossRefGoogle Scholar
Folgueira, M. and Souchay, J., 1999, Proc. Journées 1998. Observatoire de Paris, 178.Google Scholar
Folgueira, M., Bizouard, Ch. and Souchay, J., 1999, Celest. Mech., (submitted).Google Scholar
Getino, J. and Ferrandiz, J.M. 1999, Mon. Not. R. Astron. Soc., 306, L45.CrossRefGoogle Scholar
Gilbert, F. and A.M., Dziewonski, 1975, Phil. Trans. R. Soc. Lond., A278, 187.Google Scholar
Hartmann, T. and Soffel, M., 1994, Astron. J., 108, 1115.CrossRefGoogle Scholar
Kinoshita, H., 1977, Celest. Mech., 15, 277.CrossRefGoogle Scholar
Kinoshita, H. and Souchay, J., 1990, Celest. Mech., 48, 187.CrossRefGoogle Scholar
Mathews, P.M., 1999, Proceedings of the Journées Systemes de Reference Spatio-Temporels 1998, Capitaine, N. (ed.), Observatoire de Paris, 161.Google Scholar
Mathews, P.M., Herring, T.A., Buffett, B.A., 2000, J. Geophys. Res., submitted.Google Scholar
Roosbeek, F. and Dehant, V., 1998, Celest. Mech., 70, 215.CrossRefGoogle Scholar
Schastok, J., 1997, Geophys. J. Int., 130, 137.CrossRefGoogle Scholar
Seidelmann, P.K., 1982, Celest. Mech., 27, 79.CrossRefGoogle Scholar
Souchay, J. and Kinoshita, H., 1991, Celest. Mech., 52, 45.CrossRefGoogle Scholar
Souchay, J. and Kinoshita, H., 1996, Astron. Astrophys., 312, 1017.Google Scholar
Souchay, J. and Kinoshita, H., 1997, Astron. Astrophys., 318, 639.Google Scholar
Souchay, J., 1998, Astron. J., 116, 503.CrossRefGoogle Scholar
Souchay, J., Loysel, B., Kinoshita, H. and Folgueira, M., 1999, Astron. Astrophys. Suppl. Ser., 135, 111.CrossRefGoogle Scholar
Souchay, J., 1999, Proc. Journées 1998. Observatoire de Paris, 109.Google Scholar
Wahr, J.M., 1981, Geophys. J. R. Astro. Soc., 64, 705.CrossRefGoogle Scholar
Williams, J.G., 1994, Astron. J., 108, 711.CrossRefGoogle Scholar
Williams, J.G., 1995, Astron. J., 110, 1420.CrossRefGoogle Scholar