The mm/submm spectrum of Galilean satellites

Statistics – Computation

Scientific paper

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Scientific paper

In order to constrain physical parameters of the sub-surface of the Galilean satellites, simulations of the disk-averaged brightness temperature in the mm/submm wavelength range have been performed and compared with our recent observations obtained at the IRAM-PdB and SMA interferometers.
The first step was to develop a thermal model of the sub-surface, based upon the Spencer etal (1989) algorithm. This model solves the heat diffusion equation in the planetary surface material as a function of longitude, latitude and depth. The thermal inertia used was originally derived by Spencer 1987 (PhD) from 2 layer models. For this work the grid resolution in latitude and longitude was 2.5 degrees, and 128 vertical layers were considered, from the surface down to 10 meters.
A broadband ('continuum') emission map for each body was then computed with our radiative transfer code, which solves the radiative transfer equations in the sub-surface (Muhleman and Berge, 1991) on a horizontal grid of 100 X 100 points. For a given sub-solar longitude, we have used as an input temperature the values computed in the thermal model for each longitude, latitude and depth. The parameters of the radiative transfer models are (i) the absorption length Kl, expressed in units of the wavelength (ii) the surface dielectric constant and (iii) the surface roughness (degrees), expressed as the rms dispersion of the local surface slope angle. The output of this computation is the brightness map of the planet. Spatial integration of the map is also performed, providing the disk-averaged brightness temperature which can be directly compared with the observations.
The models and the observations will be presented.

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