Abstract
The Gutenberg model of the earth mantle and a homogeneous core have been used in a study of statical deformations of the earth by tidal attractions and under surface loads of spherical harmonic n types. Displacement and potential distributions within the earth are shown for eleven n values less than 16, and the values of Love's numbers k, h, and l and the similar k′ and h′ in the load problem are calculated for these n values. Free oscillations of the earth model have also been studied. Displacement and potential distributions for the above n values are drawn. The effect of self-gravitation on the oscillation periods is about 1 per cent for n = 6, and it would be smaller for larger n. The upper limit of the rigidity of the core which is compatible with the observations of the free oscillations is shown to be 1010 dynes/cm2. The radial displacement distributions within the mantle and the core are shown for various rigidity values of the core.
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