Inverse problem of in situ photometry of scattered solar radiation in a planetary atmosphere - Retrieval of atmospheric scattering characteristics - Mathematical formalism and numerical experiments

Astronomy and Astrophysics – Astronomy

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Astronomical Photometry, Atmospheric Scattering, Planetary Atmospheres, Radiative Transfer, Solar Planetary Interactions, Solar Radiation, Atmospheric Attenuation, Atmospheric Models, Optical Thickness

Scientific paper

The present study considers an inverse problem of radiative transfer which makes it possible to interpret measurements of spatial and angular dependences of scattered solar radiation in an optically thick planetary atmosphere in terms of vertical profiles of parameters governing the radiative transfer in the atmosphere. These parameters are related to an extinction coefficient and coefficients of the expansion of the scattering phase function based on Legendre polynomials. The inverse problem under discussion involves numerical differencing of measured data against altitude and is therefore incorrect. To solve it, Turchin's statistical regularization method is used. Results of two numerical experiments are presented which model measurements and a retrieval procedure for atmospheric models with conservative and nonconservative scattering.

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