Volume 627, July 2019
|Number of page(s)||14|
|Section||Numerical methods and codes|
|Published online||12 July 2019|
Modeling near-surface temperatures of airless bodies with application to the Moon
Technische Universität Berlin, Institute of Planetary Geodesy, 10623 Berlin, Germany
2 University of Stuttgart, Dept. of Hydromechanics and Modelling of Hydrosystems, 70569 Stuttgart, Germany
Accepted: 5 June 2019
In this study we present a model to determine surface and sub-surface temperatures of airless bodies in the solar system. To precisely model direct sunlight we incorporated the solar limb darkening effect of the solar disk. Scattered sunlight and thermal re-radiation from nearby planets is also considered in our model. We further consider multiple scattering of reflected sunlight and thermal re-radiation on the modeled object itself. The finite volume method is applied to solve the model for which we present full derivations for the governing equations that control scattering and heat diffusion into the sub-surface. We assessed errors stemming from the chosen discretization of the depth profile, the window size from which scattering is considered, as well as from the chosen integration step-size and the spatial resolution of the Digital Terrain Model (DTM). Exemplarily, we determine surface and sub-surface (2 m depth) temperatures for the lunar polar areas. Topography of the lunar poles is modeled by measurements of the Lunar Orbiter Laser Altimeter (LOLA). We integrated temperatures over a 18.6-year time frame using 180 m pixel−1 LOLA DTMs of the poles, a 60 × 60 km window, and a 12 h integration time-step. The resulting preliminary temperature maps for the lunar poles are presented. Further, we show that our model agrees with temperatures obtained by the Diviner lunar radiometer experiment.
Key words: Moon / methods: numerical / conduction / radiation mechanisms: thermal
© ESO 2019
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