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Volumn 176, Issue 1, 2009, Pages 40-62

Earth's long-period wobbles: A Lagrangean description of the Liouville equations

Author keywords

Earth rotation variations

Indexed keywords

CHANDLER WOBBLE; DEFORMATION; EARTH ROTATION; INNER CORE; LAGRANGIAN ANALYSIS;

EID: 58149201108     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.03991.x     Document Type: Article
Times cited : (22)

References (41)
  • 1
    • 5244365250 scopus 로고
    • Forced nutations of the Earth: Contributions from the effects of ellipticity and rotation on the elastic deformations
    • Buffett, B.A., Mathews, P.M., Herring, T.A. & Shapiro, I.I., 1993. Forced nutations of the Earth: Contributions from the effects of ellipticity and rotation on the elastic deformations, J. geophys. Res., 98B, 21659-21676.
    • (1993) J. Geophys. Res. , vol.98 B , pp. 21659-21676
    • Buffett, B.A.1    Mathews, P.M.2    Herring, T.A.3    Shapiro, I.I.4
  • 2
    • 0002946544 scopus 로고
    • The dynamical coupling between inner core and mantle of the Earth and the 24-year libration of the pole
    • in eds Mansinha, L., Smylie, D.E. & Beck, A.E., D. Reidel, Dordrecht, the Netherlands
    • Busse, F.H., 1970. The dynamical coupling between inner core and mantle of the Earth and the 24-year libration of the pole, in Earthquake Displacement Fields and the Rotation of the Earth, pp. 88-98, eds Mansinha, L., Smylie, D.E. & Beck, A.E., D. Reidel, Dordrecht, the Netherlands.
    • (1970) Earthquake Displacement Fields and the Rotation of the Earth , pp. 88-98
    • Busse, F.H.1
  • 4
    • 0005696754 scopus 로고
    • The theory of the figure of the Earth carried to the second order of small quantities
    • Darwin, G.H., 1899. The theory of the figure of the Earth carried to the second order of small quantities, M. N. Roy. astr. Soc., 60, 82-124.
    • (1899) M. N. Roy. Astr. Soc. , vol.60 , pp. 82-124
    • Darwin, G.H.1
  • 5
    • 0027449807 scopus 로고
    • An analytical approach to the computation of the Earth, the outer core and the inner core rotational motions
    • Dehant, V., Legros, H., Hinderer, J. & Lefftz, M., 1993. An analytical approach to the computation of the Earth, the outer core and the inner core rotational motions, Phys. Earth planet. Int., 76, 259-282.
    • (1993) Phys. Earth Planet. Int. , vol.76 , pp. 259-282
    • Dehant, V.1    Legros, H.2    Hinderer, J.3    Lefftz, M.4
  • 6
    • 39049126881 scopus 로고    scopus 로고
    • Gravitational torque on the inner core and decadal polar motion
    • Dumberry, M., 2008a. Gravitational torque on the inner core and decadal polar motion, Geophys. J. Int., 172, 903-920.
    • (2008) Geophys. J. Int. , vol.172 , pp. 903-920
    • Dumberry, M.1
  • 7
    • 39049112825 scopus 로고    scopus 로고
    • Decadal variations in gravity caused by a tilt of the inner core
    • Dumberry, M., 2008b. Decadal variations in gravity caused by a tilt of the inner core, Geophys. J. Int., 172, 921-933.
    • (2008) Geophys. J. Int. , vol.172 , pp. 921-933
    • Dumberry, M.1
  • 9
    • 0000191724 scopus 로고
    • An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra
    • Gilbert, F. & Dziewonski, A.M., 1975. An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra, Phil. Trans. R. Soc. Lon., A278, 187-269.
    • (1975) Phil. Trans. R. Soc. Lon. , vol.A278 , pp. 187-269
    • Gilbert, F.1    Dziewonski, A.M.2
  • 10
    • 0037092243 scopus 로고    scopus 로고
    • Influence of inner core rotation and obliquity on the inner core wobble and the free inner core nutation
    • Guo, J.Y. & Ning, J.S., 2002. Influence of inner core rotation and obliquity on the inner core wobble and the free inner core nutation, Geophys. Res. Lett., 29 (8), 45. 1-4.
    • (2002) Geophys. Res. Lett. , vol.29 , Issue.8 , pp. 1-4
    • Guo, J.Y.1    Ning, J.S.2
  • 11
    • 29444439808 scopus 로고    scopus 로고
    • A spectral search for the inner core wobble in Earth's polar motion
    • Guo, J.Y., Greiner-Mai, H. & Ballani, L., 2005. A spectral search for the inner core wobble in Earth's polar motion, J. geophys. Res., 110, B10402.
    • (2005) J. Geophys. Res. , vol.110
    • Guo, J.Y.1    Greiner-Mai, H.2    Ballani, L.3
  • 12
    • 0003494586 scopus 로고
    • On the phenomena of precession and nutation, assuming the fluidity of the interior of the Earth
    • Hopkins, W., 1839. On the phenomena of precession and nutation, assuming the fluidity of the interior of the Earth, Phil. Trans. Roy. Soc. Lond., 129, 381-423.
    • (1839) Phil. Trans. Roy. Soc. Lond. , vol.129 , pp. 381-423
    • Hopkins, W.1
  • 13
    • 0001038986 scopus 로고
    • The oscillations of a rotating ellipsoidal shell containing fluid
    • Hough, S.S., 1895. The oscillations of a rotating ellipsoidal shell containing fluid, Phil. Trans. Roy. Soc. Lond., A186, 469-506.
    • (1895) Phil. Trans. Roy. Soc. Lond. , vol.A186 , pp. 469-506
    • Hough, S.S.1
  • 14
    • 0005728203 scopus 로고
    • The rotation of an elastic spheroid
    • Hough, S.S., 1896. The rotation of an elastic spheroid, Phil. Trans. Roy. Soc. Lond., A187, 319-344.
    • (1896) Phil. Trans. Roy. Soc. Lond. , vol.A187 , pp. 319-344
    • Hough, S.S.1
  • 15
    • 0035091186 scopus 로고    scopus 로고
    • The scalar boundary conditions for the motion of the elastic Earth to second order in ellipticity
    • Huang, C.L., 2001. The scalar boundary conditions for the motion of the elastic Earth to second order in ellipticity, Earth, Moon Planets, 84, 125-141.
    • (2001) Earth, Moon Planets , vol.84 , pp. 125-141
    • Huang, C.L.1
  • 16
    • 2542548122 scopus 로고    scopus 로고
    • The explicit scalar equations of infinitesimal elastic-gravitational motion in the rotating, slightly elliptical fluid outer core of the Earth
    • Huang, C.L., Dehant, V. & Liao, X.H., 2004. The explicit scalar equations of infinitesimal elastic-gravitational motion in the rotating, slightly elliptical fluid outer core of the Earth, Geophys. J. Int., 157, 831-837.
    • (2004) Geophys. J. Int. , vol.157 , pp. 831-837
    • Huang, C.L.1    Dehant, V.2    Liao, X.H.3
  • 17
    • 0000212867 scopus 로고
    • The theory of nutation and the variation of latitude
    • 142-161
    • Jeffreys, H. & Vicente, R., 1957. The theory of nutation and the variation of latitude, M. N. Roy. Astron. Soc., 117, 142-161, 162-173.
    • (1957) M. N. Roy. Astron. Soc. , vol.117 , pp. 162-173
    • Jeffreys, H.1    Vicente, R.2
  • 18
    • 0041537776 scopus 로고    scopus 로고
    • Variational calculation of the free core nutation mode
    • Jiang, X. & Smylie, D.E., 1996. Variational calculation of the free core nutation mode, Phys. Earth planet. Inter., 94, 159-182.
    • (1996) Phys. Earth Planet. Inter. , vol.94 , pp. 159-182
    • Jiang, X.1    Smylie, D.E.2
  • 19
    • 0001371671 scopus 로고
    • Is the nutation of the solid inner core responsible for the 24-year libration of the pole?
    • Kakuta, C., Okamoto, I. & Sasao, T., 1975. Is the nutation of the solid inner core responsible for the 24-year libration of the pole?, Publ. Astron. Soc. Jpn., 27, 357-365.
    • (1975) Publ. Astron. Soc. Jpn. , vol.27 , pp. 357-365
    • Kakuta, C.1    Okamoto, I.2    Sasao, T.3
  • 20
    • 0026062797 scopus 로고
    • Forced nutations of the Earth: Influence of inner core dynamics I. Theory
    • Mathews, P.M., Buffett, B.A., Herring, T.A. & Shapiro, I.I., 1991a. Forced nutations of the Earth: Influence of inner core dynamics I. Theory, J. geophys. Res., 96, 8219-8242.
    • (1991) J. Geophys. Res. , vol.96 , pp. 8219-8242
    • Mathews, P.M.1    Buffett, B.A.2    Herring, T.A.3    Shapiro, I.I.4
  • 21
    • 0025993289 scopus 로고
    • Forced nutations of the Earth: Influence of inner core dynamics II. Numerical results and comparisons
    • Mathews, P.M., Buffett, B.A., Herring, T.A. & Shapiro, I.I., 1991b. Forced nutations of the Earth: Influence of inner core dynamics II. Numerical results and comparisons, J. geophys. Res., 96, 8243-8257.
    • (1991) J. Geophys. Res. , vol.96 , pp. 8243-8257
    • Mathews, P.M.1    Buffett, B.A.2    Herring, T.A.3    Shapiro, I.I.4
  • 22
    • 0038649769 scopus 로고    scopus 로고
    • Modeling of nutation and precession: New nutation series for non-rigid Earth and insights into the Earth's interior
    • ETG 3.1-26
    • Mathews, P.M., Herring, T.A. & Buffett, B.A., 2002. Modeling of nutation and precession: New nutation series for non-rigid Earth and insights into the Earth's interior, J. geophys. Res., 107B, ETG 3.1-26.
    • (2002) J. Geophys. Res. , vol.107 B
    • Mathews, P.M.1    Herring, T.A.2    Buffett, B.A.3
  • 24
    • 0020398597 scopus 로고
    • Variational solution of long-period oscillations of the Earth
    • Moon, W., 1982. Variational solution of long-period oscillations of the Earth, Geophys. J. R. astr. Soc., 69, 431-458.
    • (1982) Geophys. J. R. Astr. Soc. , vol.69 , pp. 431-458
    • Moon, W.1
  • 25
    • 0000918413 scopus 로고
    • Sur la précession des corps déformables
    • Poincaré, H., 1910. Sur la précession des corps déformables, Bull. astron., 27, 321-356.
    • (1910) Bull. Astron. , vol.27 , pp. 321-356
    • Poincaré, H.1
  • 26
    • 0345012013 scopus 로고    scopus 로고
    • Etude theorique des deformations globales de la Terre
    • DSc thesis U. Liege
    • Rogister, Y., 2000. Etude theorique des deformations globales de la Terre, DSc thesis, U. Liege.
    • (2000)
    • Rogister, Y.1
  • 27
    • 0035091634 scopus 로고    scopus 로고
    • On the diurnal and nearly diurnal free modes of the Earth
    • Rogister, Y., 2001. On the diurnal and nearly diurnal free modes of the Earth, Geophys. J. Int., 144, 459-470.
    • (2001) Geophys. J. Int. , vol.144 , pp. 459-470
    • Rogister, Y.1
  • 28
    • 10644239005 scopus 로고    scopus 로고
    • Normal-mode theory of a rotating Earth model using a Lagrangian perturbation of a spherical model of reference
    • Rogister, Y. & Rochester, M.G., 2004. Normal-mode theory of a rotating Earth model using a Lagrangian perturbation of a spherical model of reference, Geophys. J. Int., 159, 874-908.
    • (2004) Geophys. J. Int. , vol.159 , pp. 874-908
    • Rogister, Y.1    Rochester, M.G.2
  • 29
    • 58149189727 scopus 로고    scopus 로고
    • Outer core dynamics, rotational modes and tidal deformation (poster)
    • Fall Meeting Suppl., abstract G41C-0369
    • Rogister, Y. & Valette, B., 2005. Outer core dynamics, rotational modes and tidal deformation (poster), EOS, Trans. Am. geophys. Un., 86 (52), Fall Meeting Suppl., abstract G41C-0369.
    • (2005) EOS, Trans. Am. Geophys. Un. , vol.86 , Issue.52
    • Rogister, Y.1    Valette, B.2
  • 30
    • 58149186364 scopus 로고    scopus 로고
    • Influence of liquid core dynamics on rotational modes
    • in press
    • Rogister, Y. & Valette, B., 2008. Influence of liquid core dynamics on rotational modes, Geophys. J. Int., in press.
    • (2008) Geophys. J. Int.
    • Rogister, Y.1    Valette, B.2
  • 31
    • 0001142027 scopus 로고
    • A simple theory on the dynamical effects of a stratified fluid core upon nutational motion of the Earth
    • in eds Fedorov, E.P., Smith, M.L. & Bender, P.L., D. Reidel, Dordrecht, the Netherlands
    • Sasao, T., Okubo, S. & Saito, M., 1980. A simple theory on the dynamical effects of a stratified fluid core upon nutational motion of the Earth, in Nutation and the Earth's Rotation, pp. 165-183, eds Fedorov, E.P., Smith, M.L. & Bender, P.L., D. Reidel, Dordrecht, the Netherlands.
    • (1980) Nutation and the Earth's Rotation , pp. 165-183
    • Sasao, T.1    Okubo, S.2    Saito, M.3
  • 32
    • 0030774150 scopus 로고    scopus 로고
    • A new nutation series for a more realistic model Earth
    • Schastok, J., 1997. A new nutation series for a more realistic model Earth, Geophys. J. Int., 130, 137-150.
    • (1997) Geophys. J. Int. , vol.130 , pp. 137-150
    • Schastok, J.1
  • 33
    • 84980270194 scopus 로고
    • Oscillation, nutation and wobble of an elliptical rotating Earth with liquid outer core
    • Shen, P.Y. & Mansinha, L., 1976. Oscillation, nutation and wobble of an elliptical rotating Earth with liquid outer core, Geophys.J. R. astr. Soc., 46, 467-496.
    • (1976) Geophys.J. R. Astr. Soc. , vol.46 , pp. 467-496
    • Shen, P.Y.1    Mansinha, L.2
  • 34
    • 84984427123 scopus 로고
    • The scalar equations of infinitesimal elastic-gravitational motion for a rotating, slightly elliptical Earth
    • Smith, M.L., 1974. The scalar equations of infinitesimal elastic-gravitational motion for a rotating, slightly elliptical Earth, Geophys. J. R. astr. Soc., 37, 491-526.
    • (1974) Geophys. J. R. Astr. Soc. , vol.37 , pp. 491-526
    • Smith, M.L.1
  • 35
    • 84980304633 scopus 로고
    • Wobble and nutation of the Earth
    • Smith, M.L., 1977. Wobble and nutation of the Earth, Geophys. J. R. astr. Soc., 50, 103-140.
    • (1977) Geophys. J. R. Astr. Soc. , vol.50 , pp. 103-140
    • Smith, M.L.1
  • 36
    • 0042969418 scopus 로고
    • Variational calculation of wobble modes of the Earth
    • in eds McCarthy, D.D. & Carter, W.E., Am. Geophys. Union Geophysical Monograph 59
    • Smylie, D.E., 1990. Variational calculation of wobble modes of the Earth, in Variations in Earth Rotation, pp. 5-10, eds McCarthy, D.D. & Carter, W.E., Am. Geophys. Union Geophysical Monograph 59.
    • (1990) Variations in Earth Rotation , pp. 5-10
    • Smylie, D.E.1
  • 38
    • 0005836047 scopus 로고
    • On the coupling of the Earth's core and mantle during the 26,000-year precession
    • in eds Marsden, B.G. & Cameron, A.G.W., Plenum Press, New York
    • Toomre, A., 1966. On the coupling of the Earth's core and mantle during the 26,000-year precession, in The Earth-Moon System, pp. 33-45, eds Marsden, B.G. & Cameron, A.G.W., Plenum Press, New York.
    • (1966) The Earth-Moon System , pp. 33-45
    • Toomre, A.1
  • 39
    • 0019367409 scopus 로고
    • The forced nutations of an elliptical, rotating, elastic and oceanless Earth
    • Wahr, J., 1981. The forced nutations of an elliptical, rotating, elastic and oceanless Earth, Geophys. J. R. astr. Soc., 64, 705-727.
    • (1981) Geophys. J. R. Astr. Soc. , vol.64 , pp. 705-727
    • Wahr, J.1
  • 40
    • 0025597678 scopus 로고
    • Core dynamics: The two-potential description and a new variational principle
    • Wu, W.J. & Rochester, M.G., 1990. Core dynamics: The two-potential description and a new variational principle, Geophys. J. Int., 103, 697-706.
    • (1990) Geophys. J. Int. , vol.103 , pp. 697-706
    • Wu, W.J.1    Rochester, M.G.2
  • 41
    • 0031817555 scopus 로고    scopus 로고
    • The coupled rotation of the inner core
    • Xu, S. & Szeto, A.M.K., 1998. The coupled rotation of the inner core, Geophys. J. Int., 133, 279-297.
    • (1998) Geophys. J. Int. , vol.133 , pp. 279-297
    • Xu, S.1    Szeto, A.M.K.2


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