The rotation of a non-rigid, non-symmetrical earth I: Free nutations

Celestial Mechanics and Dynamical Astronomy

Volumn 68, Issue 2, 1997, Pages 139-149

  González, Ana Belén ^a   Getino, Juan ^b  

^a UNIVERSIDAD DE VALLADOLID   (Spain)

^b UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

Free nutations; Non rigid Earth; Non symmetrical Earth

Indexed keywords

EID: 17944397350     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008227924472     Document Type: Article

References (28)

1. Bursa, M. and Peck, K.: 1988, Gravity field and Dynamics of the Earth, Springer-Verlag, New York.
2. Defraigne P., Dehant, V. and Wahr, J.M.: 1996, 'Internal loading of an inhomogeneous compressible Earth with phase boundaries', Geophys. J. Int. 125, 173-192.
3. Defraigne P. and Dehant, V.: 1997, private communication.
4. Dehant, V., Hinderer, J., Legros, H. and Lefftz, M.: 1993, 'Analytical approach to the computation of the Earth, the outer core and the inner core rotational motions', Phys. Earth Planet. Inter. 76, 259-282.
5. Getino, J.: 1995a, 'An interpretation of the core-mantle interaction problem', Geophys. J. Int. 120, 693-705.
6. Getino, J.: 1995b, 'Forced nutations of a rigid mantle-liquid core Earth model in canonical formulation', Geophys. J. Int. 122, 803-814.
7. Getino, J. and Ferrándiz, J.M.: 1995a, 'On the effect of the elastic mantle on the Earth rotation', Celes. Mech. 61, 117-180.
8. Getino, J. and Ferrándiz, J.M.: 1995b, 'Canonical treatment of dissipative forces between Earth mantle and core', in S. Ferraz-Mello et al. (eds.) Dynamics Ephemerides and Astrometry of the Solar System, pore. IAU Symposium No. 172 (Paris), pp. 233-238.
9. Getino, J. and Ferrándiz, J.M.: 1996a, 'Hamiltonian approach to dissipative phenomena between Earth mantle and core, and effects on free nutations', Geophys. J. Int. (accepted for publication).
10. Getino, J. and Ferrándiz, J.M.: 1996b, Applying the Hamiltonian formalism to the rotation of the non-rigid Earth, in Proc. of the Journées 96, Paris, pp. 21-22 September (in press).
11. Getino, J. and Ferrándiz, J.M.: 1996c, 'Canonical approach for the free nutations of a non-rigid Earth with solid inner core', in Proc. of the Fourth International Workshop on Positional Astronomy and Celestial Mechanics, Peñíscola, Spain (in press).
12. Hori, G.: 1966, 'Theory of general perturbations with unspecified canonical variables', Publ. Astron. Soc. Japan 18, 287.
13. Jeffreys, H. and Vicente, R.O.: 1957, The theory of nutation and the variation of latitude, Mont. Not. R. Astron. Soc. 117, 142-161.
14. Kinoshita, H.: 1977, 'Theory of the rotation of the rigid Earth', Celes. Mech. 15, 277-326.
15. Kinoshita, H. and Souchay, J.: 1990, 'The theory of the nutation for the rigid Earth model at the second order', Celes. Mech. 48 187-265.
16. Kubo, Y.: 1979, 'A core-mantle interaction in the rotation of the Earth', Celes. Mech. 19, 215-241.
17. Mathews, P.M., Buffet, B.A., Herring, T.A. and Shapiro, I.I.: 1991a, 'Forced nutations of the Earth: Influence of inner core dynamics, 1, Theory', J. Geophys. Res.96 (B5), 8219-8242.
18. Mathews, P.M., Buffet, B.A., Herring, T.A. and Shapiro, I.I.: 1991b, 'Forced nutations of the Earth: Influence of inner core dynamics, 2, Numerical results and comparisons', J. Geophys. Res. 96 (B5), 8243-8257.
19. Molodensky, M.S.: 1961 'The theory of nutation and diurnal Earth tides', Comm. Obs. R. Belgique 188, 25-56.
20. Moritz, H. and Mueller, I.: 1987, Earth Rotation, Ungar, New York.
21. Poincaré, H.: 1910, Sur la précession des corps deformables, Bull. Astron. 27, 321-356.
22. 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', in Proceedings of IAU Symposium 78, pp. 165-183.
23. Souchay, J. and Kinoshita, H.: 1996, 'Corrections and new developments in rigid Earth nutation theory: I: Lunisolar influence including indirect planetary effects', Astron. Astrophys. (in press).
24. Wahr, J.M.: 1981a, 'A normal mode expansion for the forced response of a rotating Earth', Geophys. J. R. Astron. Soc 64, 651-675.
25. Wahr, J.M.: 1981b, 'Body tides of an elliptical, rotating, elastic and oceanless Earth', Geophys. J. R. Astron. Soc 64, 677-703.
26. Wahr, J.M.: 1981c, 'The forced nutations of an elliptical, rotating, elastic and oceanless Earth,' Geophys. J. R. astron. Soc, 64, 705-727.
27. Woolard, E.W.: 1953, 'Theory of the rotation of the Earth around its center of mass', Astron. Pap. Am. Ephemeris 15, pt. 1.
28. Wu, X. and Wahr, J.M.: 1997, 'Effects of non-hydrostatic core-mantle boundary topography and core dynamics on Earth rotation', Geophys. J. R. Astron. Soc 128, 18-42.