Earth tides, precession-nutation and the secular retardation of earth's rotation

Physics

Scientific paper

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Scientific paper

It is shown that both the precession nutation in space of the axis of inertia and the diurnal nutations inside the Earth of the instantaneous axis of rotation are produced by the horizontal components of the tesseral diurnal tidal force. Frequencies and amplitudes of the nutations can be computed from those of the tides by two theorems demonstrated here. It is shown also that the analysis of very long series of tidal force records by means of horizontal pendulums and gravimeters confirms the recent theories on the dynamic effects of a liquid Earth's core. This implies that corrections have to be taken into account when calculating short period nutations. The retardation of the Earth's rotation is acceded in considering the phase of the radial strain produced by the sectorial Earth tides and evidenced by gravimetric observations.

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