A core-mantle interaction in the rotation of the Earth

Kubo, Yoshio

doi:10.1007/bf01230216

Cited by 19 publications

(18 citation statements)

References 11 publications

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“…Using formulae from Kubo (1979), we write down the partial derivatives as: 2 We can express H 1 in terms of the Euler angles and their conjugate variables. Since…”

Section: Convective Termmentioning

confidence: 99%

Rotation of the elastic Earth: the role of the angular-velocity-dependence of the elasticity-caused perturbation

Kubo¹

2009

Celest Mech Dyn Astr

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We calculate the so-called convective term, which shows up in the expression for the angular velocity of the elastic Earth, within the Andoyer formalism. The term emerges due to the fact that the elasticity-caused perturbation depends not only on the instantaneous orientation of the Earth but also on its instantaneous angular velocity. We demonstrate that this term makes a considerable contribution into the overall angular velocity. At the same time the convective term turns out to be automatically included into the correction to the nutation series due to the elasticity, if the series is defined by the perturbation of the figure axis (and not of the rotational axis) in accordance with the current IAU resolution. Hence it is not necessary to take the effect of the convective term into consideration in the perturbation of the elastic Earth as far as the nutation is related to the motion of the figure axis.

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“…Using formulae from Kubo (1979), we write down the partial derivatives as: 2 We can express H 1 in terms of the Euler angles and their conjugate variables. Since…”

Section: Convective Termmentioning

confidence: 99%

Rotation of the elastic Earth: the role of the angular-velocity-dependence of the elasticity-caused perturbation

Kubo¹

2009

Celest Mech Dyn Astr

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“…In this paper the previous canonical models for the liquid core- Kubo (1979) and Sevilla & Romero (1987)are reviewed. The approach of Kubo for a rigid mantle-rigid core model is extended to a rigid mantleliquid core model, and the equivalence with the treatment of Sevilla & Romero is shown.…”

Section: Introductionmentioning

confidence: 99%

Forced nutations of a rigid mantle-liquid core earth model in canonical formulation

Getino

1995

Geophysical Journal International

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S U M M A R YThe canonical formalism for the rotation of an earth model composed of a rigid mantle and a liquid core, established in Getino (1995b), starting from the model of Sevilla & Romero (1987), is applied here to the study of the forced nutations caused by the perturbing lunisolar potential. The main purpose of this paper is not to get accurate values for the nutation terms, since the earth model considered does not include the effect of the elasticity. This approach should be understood as a generalization of Kinoshita's (1977) theory for a rigid earth. Under the canonical formulation, using Andoyer-like variables and following a procedure very similar to that of Kinoshita, we obtain similar expressions (to those of Kinoshita) for the nutations of the fundamental planes, the only difference being a corrector factor fc in the amplitudes of the nutation to account for the effect of the liquid core. This corrector factor is equal to 1 when particularizing for the rigid case; the results are then the same as those of Kinoshita.In this way, we develop a complete canonical theory for a non-rigid earth (not as yet including deformations) which includes the effect of the liquid core from the beginning. and which enables the amplitudes of the forced nutations to be obtained directly, unlike the usual theories for a non-rigid earth, which require the support of results for the rigid case.

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“…of parameters, which could be computed from geophysical Earth models or properly fitted to the observations. Finally, another method is to approach the problem using the variational theories of classical mechanics [e.g., Poincar•, 1910;Vicente, 1957a, 1957b;Kubo, 1979;Moritz, 1982;Getino and Ferrdndiz, 1998c] as in this investigation. As it is well known, the variational methods and the vectorial methods are almost equivalent because they are based on ahnost overlapping physical principles.…”

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confidence: 99%