Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-26T21:15:08.961Z Has data issue: false hasContentIssue false

The Theory of the Nutation for a Rigid Earth Model: Current State of the Situation

Published online by Cambridge University Press:  14 August 2015

J. Souchay
Affiliation:
Observatoire de Paris/DANOF, URA 1125 du CNRS, 61 Avenue de l’Observatoire, F-75014, Paris; E-mail: Souchay@obspm.fr
H. Kinoshita
Affiliation:
Tokyo National Astronomical Observatory, Ohsawa 2-21-1, Mitaka-Shi Tokyo 181, Japan

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Whereas no particular attention was paid to the theory of the nutation for a rigid Earth model, for more than a decade after the adoption by the International Astronomical Union (IAU) of coefficients as calculated and listed by Kinoshita (1977), an increasing number of studies have been done in the recent years aiming to improve this theory. The improvement became necessary mainly because of the big parallel improvement of the VLBI observations itself, which leads to present determinations of some coefficients of nutation at the level of a few 10μas. Therefore the amelioration of the theory of the nutation for a rigid Earth model can be divided in two aspects: one is to consider a smaller level of truncation of the coefficients of nutation; the other is to evaluate in the best way the coefficients already taken into account, particularly the leading coefficients which are typically those subject to the largest absolute differences.

Type
II. Joint Discussions
Copyright
Copyright © Kluwer 1998

References

Bretagnon, P., Rocher, P. and Simon, J.L. (1997) Astron- Astrophys., 319, pp. 305.Google Scholar
Folgueira, M., Souchay, J. and Kinoshita, H. (1997) Celest. Mechanics, submitted.Google Scholar
Folgueira, M., Souchay, J. and Kinoshita, H. (1997) Celest. Mechanics, to be submitted.Google Scholar
Hartmann, T. and Soffel, M. (1994) Astron. J., 108, pp. 1115.Google Scholar
Hartmann, T., Williams, J.G. and Soffel, M.. (1996) Astr. J., 111, pp. 1400.Google Scholar
Hartmann, T. and Wenzel, H.G. (1995) Geophys. Res. Letters, 22, pp. 3553.Google Scholar
Hartmann, T. and Soffel, M. (1997) Celest. Mech., submitted.Google Scholar
Herring, T. (1991) in: Proceedings of the 127th. Colloquium of the International Astronomical Union, Reference Systems, ed. Hughes, J.A., Smith, C.A., Kaplan, G.H., U.S. Naval Observatory, Washington.Google Scholar
Kinoshita, H. (1977) Celest. Mech., 15, pp. 277.Google Scholar
Kinoshita, H. and Souchay, J. (1990) Celest. Mech., 48, pp. 187.Google Scholar
Kubo, T. (1982) Celest. Mech., 26, pp. 96.Google Scholar
Kubo, Y. and Fukushima, T. (1988) in: The Earth’s Rotation and Reference Frames for Geodesy and geodynamics, ed. Babcock, A.K. and Wilkins, G.A., pp. 331.Google Scholar
Roosbeek, F. and Dehant, V. (1997) Celest. Mechanics, submitted.Google Scholar
Schastok, J., Soffel, M. and Ruder, H. (1987) in: Proc. IUGG symp. U4, Geophysical Monograph, 59, pp. 1720.Google Scholar
Schastok, J., Soffel, M. and Ruder, H. (1989) Celest. Mech., 47, pp. 219.Google Scholar
Souchay, J. and Kinoshita, H. (1991) Celest. Mech., 52, 45 Google Scholar
Souchay, J. (1993) Astron. Astrophys., 276, pp. 266.Google Scholar
Souchay, J., Feissel, M., Bizouard, C., Capitaine, N. and Bougeard, M. (1995) Astron. Astrophys., 299, pp. 277.Google Scholar
Souchay, J. and Kinoshita, H. (1996) Astron. Astrophys., 312, pp. 1017.Google Scholar
Souchay, J. and Kinoshita, H. (1997) Astron. Astrophys., 318, pp. 639.Google Scholar
Souchay, J., Loysel, B., Kinoshita, H. and Folgueira, M. (1997) Astron. Astrophys., submitted.Google Scholar
Souchay, J. (1997) Astron. Jour., submitted.Google Scholar
Vondrak, J. (1983) Bull. Astr. Inst. Czechosl, 33, pp. 26.Google Scholar
Williams, J.G. (1994) Astron. J., 108, pp. 711.Google Scholar
Williams, J.G. (1995) Astron. J., 110, pp. 1420.Google Scholar
Zhu, S.Y. and Groten, E. (1989) Astron. J., 98, pp. 1104.Google Scholar