Internal translational motions of three-layer icy moons

Physics

Scientific paper

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Scientific paper

We present a mathematical model that describes the internal translational motions of a three-layer isolated celestial body ([1]). This is achieved with the concourse of the methods of analytical mechanics, under the hypothesis that the solid constituents are rigid, and that the subsurface ocean is an ideal fluid, its motion being irrotational. Linearizing the equations of motion, we found that the solid layers perform translational oscillations of different amplitudes with the same period. The expression of this period depends on the physical characteristic of each layer. We have determined it analytically, showing that it is a function of the densities and masses of the ocean and the rocky inner core, and the mass of the icy body.

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