Gravitating bodies with internal phase transition surfaces.

Details Gravitating bodies with internal phase transition surfaces. Gravitating bodies with internal phase transition surfaces.

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989izpse..24..540g&link_type=abstract

Izv. Acad. Sci. USSR, Phys. Solid Earth, Vol. 24, No. 7, p. 540 - 550

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Planets: Stability, Planets: Oscillations

Scientific paper

The stability and characteristic oscillations of a gravitating body consisting of several layers of incompressible liquid with a constant (within each layer) density are studied. Contact and phase interfaces are distinguished. The first are boundaries of chemically different substances through which mass exchange is impossible. The phase boundaries separate different phases of the same chemical substance, so that it is possible to speak of the transformation of matter from one modification to another under suitable physical conditions. A procedure is proposed for investigating the stability of planets of such a type. As a further development of the classical Ramsey study, an approach is proposed for investigation of stability based on the potential energy minimum principle for a body and making it possible, in addition to radial stability, to examine stability relative to perturbations of an arbitrary form. On the basis of the energy minimum principle a study is made of the region of applicability of the Ramsey test. It is shown in the case of a two-layer model that radial and translational stability of a body also guarantees stability relative to perturbations of an arbitrary form. Equations are derived for study of the spectrum of small oscillations of planets of the mentioned type.

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