Hostname: page-component-7479d7b7d-qlrfm Total loading time: 0 Render date: 2024-07-10T21:15:26.506Z Has data issue: false hasContentIssue false

Diurnal and Sub-diurnal Terms of Nutation

Published online by Cambridge University Press:  12 April 2016

Aleksander Brzeziński*
Affiliation:
Space Research Centre, Polish Academy of Sciences, Bartycka 18A, 00-716 Warsaw, Poland e-mail: alek@cbk.waw.pl

Abstract

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.

This paper discusses the short-period terms of nutation which are included in the recent theories of nutation for a rigid Earth. We argue that these terms should be expressed as terrestrial perturbations, that is as polar motion, and describe how such a transformation can be accomplished in practice. Based on the available rigid-Earth amplitudes, we estimate this lunisolar effect in polar motion for an elastic Earth with liquid core, and compare it to the oceanic and atmospheric perturbations at similar frequencies.

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

References

Bizouard, Ch., Folgueira, M. and Souchay, J., 2000, “Comparison of the short period rigid Earth nutation series,” in Proc. IAU Colloquium 178, Publications of the Astron. Soc. of the Pacific, Conf. Series, 613617.Google Scholar
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, 329338.Google Scholar
Bretagnon, P., 1998, “Diurnal and sub-diurnal nutations for a rigid earth,” in Proc. Journées Systemes de Ref. Spatio-Temporels 1998, Paris Observatory, 164168.Google Scholar
Brzeziński, A., 1992, “Polar motion excitation by variations of the effective angular momentum function: considerations concerning deconvolution problem.” Manuscripta geodaetica, 17, 320.Google Scholar
Brzeziński, A. and Capitaine, N., 1993, “The use of the precise observations of the Celestial Ephemeris Pole in the analysis of geophysical excitation of earth rotation,” J. Geophys. Res., 98, 6667675.Google Scholar
Brzeziński, A. and Petrov, S.D., 2000, “High frequency atmospheric excitation of earth rotation,” IERS Technical Note No. 28, Paris Observatory, in press.Google Scholar
Chao, B.F., Dong, D.N., Liu, H.S. and Herring, T.A., 1991, “Libration in the earth’s rotation,” Geophys. Res. Letters, 18, 20072010.Google Scholar
Chao, B.F., Ray, R.D., Gipson, M.J., Egbert, G.D. and Ma, C., 1996, “Diurnal/semidiurnal polar motion excited by oceanic tidal angular momentum,” J. Geophys. Res., 101, 20, 151-20, 163.Google Scholar
Dehant, V. and Defraigne, P., 1997, “New transfer functions for nutations of a nonrigid Earth,” J. Geophys. Res., B12, 27, 659-27, 687.Google Scholar
Gross, R.S., Chao, B.F. and Desai, S.D., 1998, “Effect of long-period ocean tides on the earth’s polar motion,” Prog. Oceanog., 40, 385397.Google Scholar
Herring, T.A. and Dong, D.N., 1994, “Measurements of diurnal and semidiurnal rotational variations and tidal parameters of Earth,” J. Geophys. Res., 99, 18, 051-18, 071.Google Scholar
Mathews, P.M., Buffett, B.A., Herring, T.A. and Shapiro, I.I., 1991, “Forced nutations of the Earth: Influence of inner core dynamics 2. Numerical results and comparison,” J. Geophys. Res., 96, 82438257.Google Scholar
McCarthy, D.D. (ed.), 1996, ‘IERS Conventions (1996),’ IERS Technical Note 21, Observatoire de Paris.Google Scholar
Moritz, H. and Mueller, I.I., 1987, Earth Rotation: Theory and Observation, Ungar Publishing Company, New York.Google Scholar
Munk, W.H. and MacDonald, G.J.F., 1960, The Rotation of the Earth: A Geophysical Discussion, Cambridge Univ. Press (reprint 1975).Google Scholar
Roosbeek, F., 1999, “Diurnal and subdiurnal terms in RDAN97 series,” Cel. Mech. Dyn. Astron., 74, 243252.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. Suppl. Ser., 135, 111131.Google Scholar
Wahr, J.M., 1981, “The forced nutation of an elliptical, rotating, elastic and oceanless earth,” Geophys. J. R. Astr. Soc. 64, 705727.Google Scholar