On the stability of gravitating liquid bodies containing small solid cores

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth Planetary Structure, Gravitation Theory, Planetary Cores, Planetary Gravitation, Dynamic Stability, Elastic Bodies, Shear Stress

Scientific paper

The problem of the radial stability of a gravitating body consisting of a solid core and a liquid envelope is investigated. In this study it is assumed that the solid core and the liquid envelope are different phases of a one-component, isotropic, elastic substance, and a phase transition with slippage can occur at the boundary between the two phases. The Ramsey-Lighthill (1950) results on the instability of gravitating two-phase bodies containing small cores are generalized to the case when the core is an isotropic elastic body.

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