New Theory for the Interior of Planetary Bodies

Physics – Geophysics

Scientific paper

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Scientific paper

Interiors of the icy satellites of Jupiter and Saturn elicit a lot of interest in the scientific community because of the remarkable possibility that some of these bodies, especially Europa and Titan, contain a deep ocean in which life might have developed (Fortes 2000). In 1911, Love published a general analytical theory of a gravitating compressible sphere. Love's theory assumes that the unperturbed body is spherical, homogeneous, and has constant Lamé coefficients l and m. Intrigued by the discovery of two long period oscillations of 57 and 100 minutes in the seismograms of the Kamchatka earthquake of 1952, Alterman et al. (1959) undertook the task of determining the whole spectrum of the Earth's free oscillations. Their model assumes that the unperturbed Earth would consist of a few spherically symmetric layers. After the important work of Alterman et al. (1959), researchers such as Longman (1962, 1963), Arkani-Hamed (1970, 1973), Takeuchi and Saito (1972), Castillo et al. (2000), developed numerical models based upon following Alterman's formulation to study not only the Earth but also other planetary bodies. A new analytical theory for the interior of terrestrial like bodies will be presented. The new theory is the analytical solution of the above mentioned models, which are based on numerical integrations across the various layers. This work was performed at the Jet Propulsion Laboratory under NASA Planetary Geology and Geophysics Grant 344-30-53-02.

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