Albedo of an irradiated plane-parallel atmosphere with finite optical depth

PASJ: Publications of the Astronomical Society of Japan

Fukue, Jun¹ 

[1] Astronomical Institute, Osaka Kyoiku University, Asahigaoka, Kashiwara, Osaka 582-8582, Japan

关键词: accretion, accretion disks;    radiative transfer;    planets and satellites: atmospheres;    protoplanetary disks;    stars: atmospheres;   

DOI  :  10.1093/pasj/psy002

学科分类：天文学(综合)

来源: Oxford University Press

【 摘 要 】

We analytically derive albedo for a plane-parallel atmosphere with finite optical depth, irradiated by an external source, under the local thermodynamic equilibrium approximation. Albedo is expressed as a function of the photon destruction probability ε and optical depth τ, with several parameters such as dilution factors of the external source. In the particular case of the infinite optical depth, albedo A is expressed as |$A=[1 + (1-W_J/W_H)\sqrt{3\varepsilon }/3]/(1+\sqrt{3\varepsilon })$|⁠, where WJ and WH are the dilution factors for the mean intensity and Eddington flux, respectively. An example of a model atmosphere is also presented under a gray approximation.

【 授权许可】

CC BY