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A Normal Mode Study of Wobble and Nutation

Published online by Cambridge University Press:  14 August 2015

Martin L. Smith
Martin L. Smith*
Affiliation:
Cooperative Institute for Research in Environmental Sciences, University of Colorado/NOAA, Boulder, Colorado 80309

Extract

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The observed eigenperiod of the Chandler Wobble is about 435.2 sidereal days while the theoretical eigenperiod of a rigid body having the same composition and geometry as the Earth is about 305 days. The attempt to reconcile these two numbers has led scientists to study theoretically the free wobble and nutation of various classes of rotating bodies.

Type
Session IV
Information
Symposium - International Astronomical Union , Volume 78: Nutation and the Earth's Rotation , 1980 , pp. 195 - 202
Copyright
Copyright © Reidel 1980 

References

Dahlen, F. A.: 1976, The passive influence of the oceans upon the rotation of the Earth, Geophys. J. R. astr. Soc. 46, 363–406.Google Scholar
Hough, S. S.: 1895, The oscillations of a rotating ellipsoidal shell containing fluid, Phil. Trans. R. Soc. Lond. A 186, 469.Google Scholar
Hough, S. S.: 1896, The rotation of an elastic spheroid, Phil. Trans. R. Soc. Lond. A 189b, 319.Google Scholar
Jeffreys, H.: 1959, The Earth, 4th ed. (Cambridge Univ. Press).Google Scholar
Jeffreys, H. and Vicente, R. O.: 1957a, The theory of nutation and the variation of latitude, Mon. Not. R. astr. Soc. 117, 142–161.CrossRefGoogle Scholar
Jeffreys, H. and Vicente, R. O.: 1957b, The theory of nutation and the variation of latitude: The Roche model core, Mon. Not. R. astr. Soc. 117, 162–173.Google Scholar
Larmor, J.: 1909, The relation of the Earth's free precessional nutation to its resistance against tidal deformation, Proc. R. Soc. Lond. A 82, 89–96.Google Scholar
Love, A. E. H.: 1909, The yielding of the Earth to disturbing forces, Proc. R. Soc. Lond. A 82, 73–88.Google Scholar
Molodensky, M. S.: 1961, The theory of nutation and diurnal Earth tides, Comm. Obs. R. Belgique 288, 25–56.Google Scholar
Shen, P.-Y. and Mansinha, L.: 1976, Oscillation, nutation, and wobble of an elliptical rotating Earth with liquid outer core, Geophys. J. R. astr. Soc. 46, 467–496.Google Scholar
Smith, M. L.: 1974, The scalar equations of infinitesimal elastic-gravitational motion for a rotating, slightly elliptical earth, Geophys. J. R. astr. Soc. 37, 491.CrossRefGoogle Scholar
Smith, M. L.: 1976, Translational inner core oscillations of a rotating, slightly elliptical earth, J. Geophys. Res. 81, 3055–3065.Google Scholar
Smith, M. L.: 1977, Wobble and nutation of the Earth, Geophys. J. R. astr. Soc. 50, 103–140.Google Scholar
Wilson, C. R. and Haubrich, R. A.: 1976, Meteorological excitation of the Earth's wobble, Geophys. J. R. astr. Soc. 46, 707–743.Google Scholar