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Impact of tidal Poisson terms on nonrigid Earth rotation

Folgueira, Marta and Dehant, V. and Lambert, S.B. and Rambaux, N. (2007) Impact of tidal Poisson terms on nonrigid Earth rotation. Astronomy & Astrophysics, 469 . pp. 1197-1202. ISSN 0004-6361

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Abstract

Context. The tidal potential generated by bodies in the solar system contains Poisson terms, i.e., periodic terms with linearly time-dependent amplitudes. The influence of these terms on the Earth's rotation, although expected to be small, is of interest for high accuracy modeling. Aims. Therefore, we study their contribution to the rotation of a non-rigid Earth with an elastic mantle and liquid core. Methods. Starting from Liouville's equations, and following an analytical treatment, we obtain the relations accounting for Poisson terms in the forcing and providing the solution for the wobble. Results. We show that the transfer function between rigid and non rigid nutation amplitudes, as usually defined in the literature, must be supplemented by additional terms proportional to the amplitude of the Poisson term of the potential. These new terms are inversely proportional to (sigma - sigma(N))(2) where sigma is the forcing frequency and sigma(N) are the eigenfrequencies associated with the retrograde free core nutation and the Chandler wobble. The highest contribution to the nutation is 6 mu as (Delta psi) on the term 2l' - 2F + 2D - 2 Omega and remains below 1 mu as for the other terms. A contribution of 88 mu as/cy is found to the obliquity rate. We evaluate the variations of the third component of the wobble of the Earth and of the core in response to a zonal tidal potential, and show that there is no significant change.

Item Type:Article
Uncontrolled Keywords:Reference systems; Earth
Subjects:Sciences > Mathematics > Astronomy
ID Code:15346
References:

Bretagnon, P., & Francou, G. 1988, A&A, 202, 309

Bretagnon, P., Francou, G., Rocher, P., & Simon, J. L.1998, A&A, 329, 329

Capitaine, N., Wallace, P.T., & Chapront, J. 2003, A&A, 412, 567

Defraigne, P., & Smits, I. 1999, Geophys. J. Int., 139, 2, 563

Dehant, V., Hinderer, J., Legros, H., & Lefftz,M. 1993, Phys. Earth Planet. Inter.,76, 259

Dehant, V., Feissel-Vernier, M., de Viron, O., et al. 2003, J. Geophys. Res.,108(B5), 10.1029

Dehant, V., de Viron, O., & Greff-Lefftz M. 2005, A&A, 438, 1149

Dziewonski, A.M., & Anderson, D. L.1981, Phys. Earth Planet. Inter., 25, 297

Greff-Lefftz, M., Legros, H., & Dehant, V. 2000, Phys. Earth Planet. Inter., 122,187

Hinderer, J., Legros H., & Amalvict, M. 1987, Phys. Earth Planet. Inter., 49(3-4),213

Mathews, P. M., Herring, T. A., & Buffett, B. A. 2002, J. Geophys. Res., 10.1029

McCarthy, D.D., & Petit, G. 2004, Conventions 2003, IERS Technical Note,32, Publ. Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie

Roosbeek, F., & Dehant, V. 1998, Celest. Mech., 70, 215

Sasao, T., Okubo, S., & Saito, M. 1980, Proc. IAU Symp., 78, 165

Souchay, J., Loysel, B., Kinoshita, H., & Folgueira, M. 1999, A&AS, 135, 111

Wahr, J. M. 1981, Geophys. J. R. Astron. Soc., 64, 705

Deposited On:24 May 2012 08:41
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