Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-12-01T10:33:54.174Z Has data issue: false hasContentIssue false

Long-Period Perturbations in Terrestrial Reference Frames

Published online by Cambridge University Press:  12 April 2016

E. Groten
Affiliation:
Institute of Physical GeodesyTechnische Hochschule Darmstadt Petersenstraβe 13Germany
S.M. Molodensky
Affiliation:
Institute of Physical GeodesyTechnische Hochschule Darmstadt Petersenstraβe 13Germany
J. Zwielich
Affiliation:
Institute of Physical GeodesyTechnische Hochschule Darmstadt Petersenstraβe 13Germany

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.

Oceanic and fluid core effects inherent in polar motion and 1.o.d. -data were analyzed and related results are discussed in detail.

A new exact analytic solution to the hydrodynamic equations is obtained, which describes tidal motions at low frequencies in a homogeneous, incompressible, inviscid liquid core with arbitrary core-mantle topography. Some geophysical and astrometrical consequences of this solution are considered.

The numerical estimation of the deviations of the pole tide from the static one is obtained. A new hypothesis is proposed that the known interrelation between long-term amplitude and frequency variations in Chandler wobble may be attributed to the influence of turbulent friction of non-equilibrium pole tide.

Type
Part 1. Oral Papers
Copyright
Copyright © United States Naval Observatory 1991

References

Argue, A.N.: 1989, The link to extragalactic objects, The Hipparcos Mission, Preliminary Status, Vol. II, The INCS Consortium, ESA SP-111.Google Scholar
Boucher, C.: 1990, Circular Letter 3, IAG-SSG 5.123, Paris, August.Google Scholar
Carton, J.A.: 1983, The variation with frequency of the long-period tides. Geophys. J. R. astr. Soc., 58, 431440.Google Scholar
Dickman, S.R.: 1985, The self-consistent dynamic pole tide in global ocean. Geophys. J. R. astr. Soc., 81, 157174.CrossRefGoogle Scholar
Dickman, S.R.: 1986, The damping of the Chandler wobble and the pole tide, in: “Earth rotation: solved and unsolved problems”, edited by Cazenave, A., p. 203228, D. Reidel Dodrect/Boston/Lancaster/Tokyo CrossRefGoogle Scholar
Fahrbach, E., Franz, H. et al.: 1985, Oceanographie (ed. Sündermann, I.) in: Landoldt-Börnstein “Handbuch der Physik”. Neue Ausgabe, Gruppe V , vol. 2, Springer Verlag Heidelberg Google Scholar
Greenspan, H.P.: 1969, The theory of Rotating Fluids. Cambridge University Press, p.328.Google Scholar
Groten, E., Lenhardt, H., Molodensky, S.M.: 1990, On the period and damping of polar motion. Proc. of Conf. of Math. Geophys. of IUGG, Jerusalem, in press.Google Scholar
Kamke, E.: 1966, Handbook of Equations in First - order Partial Derivatives, MIR, Moscow, p.283. Google Scholar
Lenhardt, H., and Groten, E.: 1985, Chandler wobble parameters from BIH and ILS data, Manuscripta Geodaetica, 10, 296305, Springer Verlag.Google Scholar
Levitus, S.: 1982, Climatological Atlas of the World Ocean, NOAA Professional Paper 13.Google Scholar
Melchior, P.: 1957, Latitude variation, “Progress in Physics and Chemistry of the Earth”, Vol. II, Pergamon Press, London, New York, Paris.Google Scholar
Molodensky, S.M.: 1989, Asymptotic Behaviour of Solutions to Laplace’s Tidal Equations at Low Frequencies, Geophys. J. R. astr. Soc., 97, 459469.Google Scholar
Munk, W.H., and MacDonald, G.J.F.: 1975, The Rotation of the Earth, A Geophysical Discussion, Cambridge University Press, p.323.Google Scholar
O’Connor, W.P., and Starr, T.B.: 1983, Approximate particular solutions for the pole tide in global ocean. Geophys. J. R. astr. Soc., 75, 397405.CrossRefGoogle Scholar
Schwiderski, E.W.: 1980, Ocean tides, Part I: Global tidal equations, Marine Geodesy, 3, 161.Google Scholar
de Vegt, Ch., Johnston, K.J., Russell, J., Hughes, J.A., Janucey, D. and Nicholson, G.: 1988, Towards the establishment of a radio-optical reference frame, Proc. Coll. European Astrometry Sat. Hipparcos, Sci. Aspects of the Input Catalogue Preparation II, Torra, J. and Turon, C. (eds.), 469.473, 25/29 Jan., Sitges, Spain Google Scholar