A New Asymptotic Formalism for Jovian Seismology

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Stars: Oscillations, Planets: Individual: Jupiter, Saturn, Jupiter, Seismology, Core, Interior, Model, Frequencies, Parameters, Gas Planets, Outer Planets, Calculations, Numerical Methods, Density, Comparison, Structure, Oscillation, Pressure, Acoustics, Patterns, Oblatenesss, Procedure, Boundaries

Scientific paper

In order to account for the core of the giant planets interior, a second order asymptotic formalism has been adapted to Jovian seismology, for low degree high frequency acoustic modes, starting from the work of Tassoul (1980). We consider a spherical non-rotating model of Jupiter presenting a strong discontinuity in density and sound speed at the core frontier. We exhibit a peculiar behavior of the pressure modes eigenfrequency pattern. Contrarily to the solar case, eigenfrequencies are not almost equidistant, and this has to be taken into account when interpreting an observed spectrum. A qualitative agreement with the frequencies computed from a planetary model is obtained. Therefore we use the asymptotic formalism to compare actual Jovian interior models. The formalism developed here is applicable to any non rotating object presenting a noncontinuous interior, provided the asymptotic constraints are fulfilled. The limit of validity of this formalism is discussed in the context of Jovian seismology.

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