On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation

Equipping sensors on the lunar surface would enable the capture of Earth’s outgoing longwave radiation (OLR) from nearly an entire hemisphere. However, the Earth’s nonsphericity would profoundly impact the observational solid angle, thereby influencing the disk-integrated Earth OLR estimation. This...

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Main Authors: Hanlin Ye, Huadong Guo, Dong Liang, Zhen Xu, Yin Jin, Guang Liu
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astronomical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-3881/ada4b4
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author Hanlin Ye
Huadong Guo
Dong Liang
Zhen Xu
Yin Jin
Guang Liu
author_facet Hanlin Ye
Huadong Guo
Dong Liang
Zhen Xu
Yin Jin
Guang Liu
author_sort Hanlin Ye
collection DOAJ
description Equipping sensors on the lunar surface would enable the capture of Earth’s outgoing longwave radiation (OLR) from nearly an entire hemisphere. However, the Earth’s nonsphericity would profoundly impact the observational solid angle, thereby influencing the disk-integrated Earth OLR estimation. This study analyzes the impact of the Earth’s ellipsoidal shape on the OLR estimation by examining the effects of the observational solid angle. In particular, an expansion-series-based method is proposed for calculating the observational solid angle, avoiding complex numerical integration. Three critical issues are analyzed. (1) Comparing the observational solid angles calculated by using an Earth ellipsoidal model versus those obtained by adjusting the Earth’s radius. We find that adjusting the Earth’s radius can approximate the results based on an Earth ellipsoidal model, offering insights into parameterizing the observational solid angle. (2) Parameterizing the observational solid angle through series expansion, which is validated by comparing the associated results to those from numerical integrations. The observational solid angle is parameterized into two components: one is attributable to a variable Earth radius and another is related to the nadir point’s latitude and the Earth–Moon distance. (3) Guiding parameter selection for observational solid angle estimation. These findings enhance our understanding of disk-integrated Earth OLR estimates and provide a unique tool for establishing benchmarks for the Earth samples needed in the study of habitable planets, thereby contributing to sustainable development.
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institution Kabale University
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series The Astronomical Journal
spelling doaj-art-0cfa77a59afe47abb466db4880c8eb7a2025-02-05T18:04:57ZengIOP PublishingThe Astronomical Journal1538-38812025-01-01169312310.3847/1538-3881/ada4b4On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave RadiationHanlin Ye0Huadong Guo1Dong Liang2Zhen Xu3Yin Jin4Guang Liu5International Center for Climate and Environment Science, Institute of Atmospheric Physics , Chinese Academy of Sciences, Beijing 100029, People’s Republic of ChinaInternational Research Center of Big Data for Sustainable Developement Goals, Beijing 100094, People’s Republic of China ; hdguo@radi.ac.cn; Key Laboratory of Digital Earth Science, Aerospace Information Research Institute, Chinese Academy of Sciences , Beijing 100094, People’s Republic of ChinaInternational Research Center of Big Data for Sustainable Developement Goals, Beijing 100094, People’s Republic of China ; hdguo@radi.ac.cn; Key Laboratory of Digital Earth Science, Aerospace Information Research Institute, Chinese Academy of Sciences , Beijing 100094, People’s Republic of ChinaDepartment of Electronic and Information Engineering, Shantou University , Shantou 515063, People’s Republic of ChinaInternational Research Center of Big Data for Sustainable Developement Goals, Beijing 100094, People’s Republic of China ; hdguo@radi.ac.cn; Key Laboratory of Digital Earth Science, Aerospace Information Research Institute, Chinese Academy of Sciences , Beijing 100094, People’s Republic of ChinaInternational Research Center of Big Data for Sustainable Developement Goals, Beijing 100094, People’s Republic of China ; hdguo@radi.ac.cn; Key Laboratory of Digital Earth Science, Aerospace Information Research Institute, Chinese Academy of Sciences , Beijing 100094, People’s Republic of ChinaEquipping sensors on the lunar surface would enable the capture of Earth’s outgoing longwave radiation (OLR) from nearly an entire hemisphere. However, the Earth’s nonsphericity would profoundly impact the observational solid angle, thereby influencing the disk-integrated Earth OLR estimation. This study analyzes the impact of the Earth’s ellipsoidal shape on the OLR estimation by examining the effects of the observational solid angle. In particular, an expansion-series-based method is proposed for calculating the observational solid angle, avoiding complex numerical integration. Three critical issues are analyzed. (1) Comparing the observational solid angles calculated by using an Earth ellipsoidal model versus those obtained by adjusting the Earth’s radius. We find that adjusting the Earth’s radius can approximate the results based on an Earth ellipsoidal model, offering insights into parameterizing the observational solid angle. (2) Parameterizing the observational solid angle through series expansion, which is validated by comparing the associated results to those from numerical integrations. The observational solid angle is parameterized into two components: one is attributable to a variable Earth radius and another is related to the nadir point’s latitude and the Earth–Moon distance. (3) Guiding parameter selection for observational solid angle estimation. These findings enhance our understanding of disk-integrated Earth OLR estimates and provide a unique tool for establishing benchmarks for the Earth samples needed in the study of habitable planets, thereby contributing to sustainable development.https://doi.org/10.3847/1538-3881/ada4b4Earth (planet)Earth atmosphereHabitable planetsRemote sensingExoplanet detection methods
spellingShingle Hanlin Ye
Huadong Guo
Dong Liang
Zhen Xu
Yin Jin
Guang Liu
On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation
The Astronomical Journal
Earth (planet)
Earth atmosphere
Habitable planets
Remote sensing
Exoplanet detection methods
title On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation
title_full On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation
title_fullStr On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation
title_full_unstemmed On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation
title_short On the Observational Solid Angle in Estimating the Moon-based Disk-integrated Earth Outgoing Longwave Radiation
title_sort on the observational solid angle in estimating the moon based disk integrated earth outgoing longwave radiation
topic Earth (planet)
Earth atmosphere
Habitable planets
Remote sensing
Exoplanet detection methods
url https://doi.org/10.3847/1538-3881/ada4b4
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