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arXiv 2103.06275astro-ph.EPastro-ph.IM
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反射光中的解析光变曲线:球形行星和卫星的相位曲线、掩星和非朗伯散射

Analytic Light Curves in Reflected Light: Phase Curves, Occultations, and Non-Lambertian Scattering for Spherical Planets and Moons

Rodrigo Luger, Eric Agol, Fran Bartolić, Daniel Foreman-Mackey

摘要:

我们推导出有效的,封闭的形式,可微的,和数值稳定的解决方案,从一个球形行星或月球在反射光中看到的流量测量,无论是在或出掩星。我们的表达式适用于计算的散射光相位曲线的系外行星,二次食光曲线的光学,或未来的测量的行星-月球和行星-行星掩星,以及测光的太阳系机构。我们推导出我们的解决方案,朗伯体照明的点源,但扩展到模型照明源的有限角尺寸和粗糙表面与相位相关的散射。我们的算法是在开源的星空映射框架内用Python实现的,并且在设计时考虑了高效的基于梯度的推理。该算法比直接数值计算方法快4-5个数量级,精度提高约10个数量级。我们展示了如何在这里开发的技术可能有一天会导致类地行星表面的二维地图的建设,有可能使大陆和海洋的探测系外行星的宜居带。

英文摘要:

We derive efficient, closed form, differentiable, and numerically stable solutions for the flux measured from a spherical planet or moon seen in reflected light, either in or out of occultation. Our expressions apply to the computation of scattered light phase curves of exoplanets, secondary eclipse light curves in the optical, or future measurements of planet-moon and planet-planet occultations, as well as to photometry of solar system bodies. We derive our solutions for Lambertian bodies illuminated by a point source, but extend them to model illumination sources of finite angular size and rough surfaces with phase-dependent scattering. Our algorithm is implemented in Python within the open-source starry mapping framework and is designed with efficient gradient-based inference in mind. The algorithm is 4-5 orders of magnitude faster than direct numerical evaluation methods and about 10 orders of magnitude more precise. We show how the techniques developed here may one day lead to the construction of two-dimensional maps of terrestrial planet surfaces, potentially enabling the detection of continents and oceans on exoplanets in the habitable zone.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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