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Exact results in modeling planetary atmospheres—I. Gray atmospheres |
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| Authors: | L Chevallier J Pelkowski |
| Institution: | a Observatoire de Paris-Meudon, Laboratoire LUTH, 5 Place Jules Janssen, 92195 Meudon cedex, France b Institut für Meteorologie und Geophysik, J.W. Goethe Universität Frankfurt, Robert Mayer Strasse 1, D-60325 Frankfurt a.M., Germany c Université de Lyon, Lyon, F-69000, France; Université Lyon 1, Villeurbanne, F-69622, France; Centre de Recherche Astronomique de Lyon, Observatoire de Lyon, 9 avenue Charles André, Saint-Genis Laval cedex, F-69561, France; CNRS, UMR 5574; Ecole Normale Supérieure de Lyon, Lyon, France |
| Abstract: | An exact model is proposed for a gray, isotropically scattering planetary atmosphere in radiative equilibrium. The slab is illuminated on one side by a collimated beam and is bounded on the other side by an emitting and partially reflecting ground. We provide expressions for the incident and reflected fluxes on both boundary surfaces, as well as the temperature of the ground and the temperature distribution in the atmosphere, assuming the latter to be in local thermodynamic equilibrium. Tables and curves of the temperature distribution are included for various values of the optical thickness. Finally, semi-infinite atmospheres illuminated from the outside or by sources at infinity is dealt with. |
| Keywords: | Planetary atmospheres Radiative transfer Isotropic scattering Gray opacity Radiative equilibrium Temperature distribution |
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