Rotationally consistent Love numbers

Details Rotationally consistent Love numbers Rotationally consistent Love numbers

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005geoji.161...31d&link_type=abstract

Geophysical Journal International, Volume 161, Issue 1, pp. 31-40.

Astronomy and Astrophysics

Astronomy

1

Atmospheric Excitation, Core-Mantle Interactions, Earth Tides, Mantle Rheology, Rotational Variations

Scientific paper

The Love number k2 at a 14-month period is used to characterize the deformation of the solid earth during the Chandler wobble. Traditionally, the value of k2(CW), ~0.31, is inferred from observations of the Chandler wobble period, after the effects of the oceans have been subtracted. However, during wobble the core is almost completely decoupled from the mantle; consistency requires that we view that inference as a mantle-only value of the Love number. This in turn implies that k2= 0.35, almost 13 per cent higher than the traditionally accepted value.
The use of rotationally consistent Love numbers leads to equations for predicting the effects of a given rotational excitation that are distinctly different from previous versions. Furthermore, formulations of the excitation itself-such as the `effective angular momentum functions' of Barnes et al.-are seriously modified, with the excitation functions up to ~14 per cent larger.
Rotationally consistent Love numbers imply that the solid earth is much more anelastic at a 14-month period than previously considered. Popular `constant Q' and `power-law Q' models of anelasticity are unable to simultaneously fit observations of k2 at seismic, nine-day, and Chandler frequencies. Alternative anelastic relaxation models such as those proposed by Ivins hold much more promise.

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