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Free Frequencies for a Three Layered Earth Model

Published online by Cambridge University Press:  12 April 2016

Alberto Escapa ,
Juan Getino  and
J.M. Ferrándiz
Alberto Escapa
Affiliation:
Grupo de Mecánica Celeste. Facultad de Ciencias.University of Valladolid. 47005 Valladolid -Spain
Juan Getino
Affiliation:
Grupo de Mecánica Celeste. Facultad de Ciencias.University of Valladolid. 47005 Valladolid -Spain
J.M. Ferrándiz
Affiliation:
Dpto. Análisis Matemático y Matemática Aplicada. Facultad de Ciencias.University of Alicante. 03080 Alicante -Spain

Abstract

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The Hamiltonian formalism is applied to the treatment of the free motion of a three layered Earth model, where the effects of the pressure coupling, centrifugal deformation as well as gravitational and viscous-electromagnetic torques, are considered. Analytical expressions of the four normal modes of this dynamical system are derived.

Type
Part 5. Chandler and Annual Polar Motion: Observations and Excitation
Information
International Astronomical Union Colloquium , Volume 178: Polar Motion: Historical and Scientific Problems , 2000 , pp. 481 - 485
Copyright
Copyright © Astronomical Society of the Pacific 2000

References

Escapa, A., Getino, J., and Ferrándiz, J. M. 2000, Canonical approach to the free nutations of a three layers earth model, submitted to Journal of Geophysical Research -Solid Earth.Google Scholar
Fukushima, T. 1994, New canonical variables for orbital and rotational motions, Celest. Mech 60, 57–68.Google Scholar
Getino, J. 1995, Forced nutation of a rigid mantle-liquid core Earth model in canonical formulation, Geophys. J. Int. 122, 803–814.Google Scholar
Getino, J., and Ferrándiz, J. M. 1998, Canonical approach for the free nutations of a non-rigid Earth with solid inner core, López García, A. et al., IV International Workshop on Positional Astronomy and Celestial Mechanics, University of Valencia, Spain, 183–190.Google Scholar
Getino, J. and Ferrándiz, J.M. 1999, Accurate analytical nutation series, Mon. Not. R. Astron. Soc. 306, L45–L49.Google Scholar
Getino, J., González, A. and Escapa, A. 2000, The rotation of a non-rigid, non-symmetrical Earth II: Free nutations and dissipative effects, submitted to Celestial Mechanics and Dynamical Astronomy.Google Scholar
Kinoshita, H. 1977, Theory of the rotation of the rigid Earth, Celest. Mech 15, 277–326.Google Scholar
Mathews, P.M., Buffet, B.A., Herring, T.A. and Shapiro, I.I. 1991, Forced Nutations of the Earth: Influence of Inner Core Dynamics 1. Theory, J. Geophys. Res. 96, 8219–8242.Google Scholar
Poincaré, H. 1910, Sur la précession des corps deformables, Bull. Astron. 27, 321–356.Google Scholar
Sasao, T., Okubo, S. and Saito, M. 1980, A simple theory on the dynamical effects of a stratified fluid core upon nutational motion of the Earth, Proceedings of IAU Symposium 78, edited by Fedorov, E. P., Smith, M.L. and Bender, P. L., D. Reidel, Hingham, Mass, 165–183.Google Scholar