On the diurnal and nearly diurnal free modes of the Earth

Details On the diurnal and nearly diurnal free modes of the Earth On the diurnal and nearly diurnal free modes of the Earth

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001geoji.144..459r&link_type=abstract

Geophysical Journal International, Volume 144, Issue 2, pp. 459-470.

Astronomy and Astrophysics

Astronomy

6

Earth'S Rotation, Free Oscillations, Nutation

Scientific paper

The poor results of Smith's (1974, 1977) computations concerning the motions of the solid inner core of a slowly rotating, ellipsoidal earth model can be explained by the fact that Smith neglected in the equations of motion second-order terms in the ellipticity. We demonstrate this statement by calculating the eigenfunctions associated with the diurnal tilt-over mode (TOM) and inserting them into the equations of motion. Next, we compute the free core nutation (FCN) and the free inner core nutation (FICN) for various realistic earth models. We find that their respective periods are in good agreement with the results of Mathews et al. (1991b) and de Vries & Wahr (1991), who have computed these modes by other means.

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