Analytic models for albedos, phase curves and polarization of reflected light from exoplanets
arXiv:1112.4476 · doi:10.1088/0004-637X/747/1/25
Abstract
New observational facilities are becoming increasingly capable of observing reflected light from transiting and directly imaged extrasolar planets. In this study, we provide an analytic framework to interpret observed phase curves, geometric albedos, and polarization of giant planet atmospheres. We compute the observables for non-conservative Rayleigh scattering in homogeneous semi-infinite atmospheres using both scalar and vector formalisms. In addition, we compute phase curves and albedos for Lambertian, isotropic, and anisotropic scattering phase functions. We provide analytic expressions for geometric albedos and spherical albedos as a function of the scattering albedo for Rayleigh scattering in semi-infinite atmospheres. Given an observed geometric albedo our prescriptions can be used to estimate the underlying scattering albedo of the atmosphere, which in turn is indicative of the scattering and absorptive properties of the atmosphere. We also study the dependence of polarization in Rayleigh scattering atmospheres on the orbital parameters of the planet-star system, particularly on the orbital inclination. We show how the orbital inclination of non-transiting exoplanets can be constrained from their observed polarization parameters. We consolidate the formalism, solution techniques, and results from analytic models available in the literature, often scattered in various sources, and present a systematic procedure to compute albedos, phase curves, and polarization of reflected light.
Accepted for publication in ApJ, 17 pages in emulate ApJ
References in corpus (8)
- Atomic and Molecular Opacities for Brown Dwarf and Giant Planet Atmospheres
- The Transit Light Curve Project. IX. Evidence for a Smaller Radius of the Exoplanet XO-3b
- The Very Low Albedo of an Extrasolar Planet: MOST Spacebased Photometry of HD 209458
- Optical Albedo Theory of Strongly-Irradiated Giant Planets: The Case of HD 209458b
- First detection of polarized scattered light from an exoplanetary atmosphere
- Detection of visible light from the darkest world
- A grid of polarization models for Rayleigh scattering planetary atmospheres
- Upsilon Andromedae b in polarized light: New constraints on the planet size, density and albedo
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