1981Geophysical Journal of the Royal Astronomical SocietyOpen access

Body tides on an elliptical, rotating, elastic and oceanless earth

John Wahr

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Abstract

The Earth's deformation caused by the luni-solar tidal force is defined as the ‘body tide’. We compute the effects of the Earth's rotation and elliptical stratification on the body tide for a number of modern elastic structural models. Rotation and ellipticity within the mantle are found to affect tidal observations by about 1 per cent. A consequence is an improved estimate for the fluid core resonance in the diurnal tidal band. Agreement between results for the different structural models is very good. As a result, the results computed here can be used to model the tidal effects of a globally averaged, oceanless, rotating, elliptical and elastic earth to an accuracy of at least one part in 300.

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The Earth's deformation caused by the luni-solar tidal force is defined as the ‘body tide’. We compute the effects of the Earth's rotation and elliptical stratification on the body tide for a number of modern elastic structural models. Rotation and ellipticity within the mantle are found to affect tidal observations by about 1 per cent. A consequence is an improved estimate for the fluid core resonance in the diurnal tidal band. Agreement between results for the different structural models is very good. As a result, the results computed here can be used to model the tidal effects of a globally averaged, oceanless, rotating, elliptical and elastic earth to an accuracy of at least one part in 300.

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Available abstract

The Earth's deformation caused by the luni-solar tidal force is defined as the ‘body tide’. We compute the effects of the Earth's rotation and elliptical stratification on the body tide for a number of modern elastic structural models. Rotation and ellipticity within the mantle are found to affect tidal observations by about 1 per cent. A consequence is an improved estimate for the fluid core resonance in the diurnal tidal band. Agreement between results for the different structural models is very good. As a result, the results computed here can be used to model the tidal effects of a globally averaged, oceanless, rotating, elliptical and elastic earth to an accuracy of at least one part in 300.

Key concepts: Earth's rotation, Tidal force, Stratification (seeds), Rotation (mathematics), Earth model, Mantle (geology), Tidal Waves, Geology

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