Theoretical spectrum of free oscillations of Mars.

Computer Science

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Mars: Structure, Mars: Oscillations, Mars Interior: Models, Mars Interior: Oscillations

Scientific paper

The diagnostic possibilities of the free oscillation method for probing the global pattern of the structure of the Mars interior are investigated. To these global properties belong the radius and aggregate (solid or liquid) state of the core, the crust thickness, the depth of the beginning of the olivine-spinel phase transition, and the depth interval of this transition. A set of two-layer models for different compositions of the Fe-FeS system are used to investigate the aggregate state of the core and its radius. The effects of the crust thickness and of the depth of the start of the olivine-spinel phase transition are investigated by four-layer (crust, upper olivine, lower spinel mantle, core) and five-model (crust, upper olivine mantle, olivine-spinel transition zone, lower spinel mangle, core) models. The crust depth was selected to be 50, 100, and 150 km. The depth and width of the transition zone depend on the temperature distribution in the planet. The high-(HTM) and low-(LTM) temperature models are considered. The basic model is taken to be the five-layer M512L model, in which the crust thickness equals 150 km, the core density is 7 g/cm3, while the transitional zone is defined for the low temperature version. For a large number of models the authors calculate spheroidal oscillations for the numbers n = 2 - 200, radial oscillations and their overtones, and torsional oscillations for n = 2 - 150. Dispersion curves are constructed for Rayleigh and Love waves, providing a valuable tool for diagnosing the core thickness. The oscillation periods with low values n ≤ 7 depend substantially on the core parameters, while the spheroidal modes with n ≍ 7 - 10 diagnose reliably the position and structure of the transition zone. Most of the attention is given to models with a liquid core, since at the present time models with a completely solid core are considered unrealistic.

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