The Theory of Nutation and the Variation of Latitude

Applications of Geodesy to Geodynamics an International Symposium

“…It is fortunate that, all the studies concerned with the tides of the solid Earth employ the same standard, that -is, the bodily .tide numbers h_, Ic and £ are defined considering a statical theory applied to an elastic solid Earth with spherical symmetry, and the disturbing tidal potential is a spherical harmonic of the second degree [Jeffreys, 1976].…”

“…It has been demonstrated that the application of a statical theory for the semi-diurnal, fortnightly and semi-annual tides does not introduce appreciable errors in theoretical models [Jeffreys, 1949]. But for diurnal tides we have to consider a dynamical theory and the importance of the liquid core of the Earth has been proved.…”

Perturbations in the Earth's Rotation and Geomagnetic Core-Mantle Coupling

“…But then one has to work out the transformation of the resulting toroidal harmonic coefficients back to the original coordinate system, using e.g. the formulae given by Jeffreys (1965). This seems a formidable task, and I have instead devised an approximate solution for the situation where the (steady) relative rotation is at a rate comparable with the observed wobble and westward drift.…”

“…The second mode, with nearly diurnal period, was first predicted by Hough and Sluodsky independently in 1895. The theory of this phenomenon has been extended by PPoincare (1910), Jeffreys & Vicente (1957) and Molodenskii (1961). In the diurnal mode, in contrast to the Chandler wobble, there is substantial relative motion between the core and mantle.…”

Theories of Nutation and Polar Motion III,

“…The present variational approach may be compared to that of Jeffreys (1949) and Jeffreys and Vincente (1957). Common to all three approaches is the reduction of a problem of continuum mechanics (infinitely many degrees of freedom) to a problem of analytical mechanics with only a finite number 'here, 10) of degrees of freedom.…”