| 利用全月重力/地形导纳估计月球弹性层厚度 |
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| 作者姓名： | 杨永章 李金岭 松本晃治 花田英夫 李文潇 |
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| 作者单位： | 1. 中国科学院上海天文台天文地球动力学研究中心, 上海 200030;
2. 中国科学院国家天文台月球与深空探测重点实验室, 北京 100012;
3. 中国科学院大学, 北京 100012;
4. 日本国立天文台RISE研究室, 奥州 0230861 |
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| 基金项目： | 中俄政府间国际科技合作项目（2016YFE0120000）、国家自然科学基金（41590851）和国家重点基础研究发展计划（2015CB857101）资助 |
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| 摘 要： | 利用最新的GRAIL月球重力数据和LRO地形数据，计算重力/地形导纳及其相关性。结果表明，最新的测月数据能够在球谐系数达到500阶的时候依然保持比较高的相关性，精度得到很大的提高。全月重力/地形导纳在50阶以下（波长大于~220 km），之后迅速增加，维持在110 mgal/km附近。利用Gauss-Newton迭代法计算得到全月弹性平均厚度Te=11.7 km，表明很有可能月球地形在月球早期就已经形成。
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| 关 键 词： | 重力 地形 导纳 弹性层厚度 Gauss-Newton方法 |
| 收稿时间： | 2017-04-16 |
| 修稿时间： | 2017-05-24 |
Average elastic thickness of the Moon estimated using admittance |
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| Authors: | YANG Yongzhang LI Jinling MATSUMOTO Koji HANADA Hideo LI Wenxiao |
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| Institution: | 1. Center for Astro-geodynamics Research, Shanghai Astronomical Observatories, Chinese Academy of Sciences, Shanghai 200030, China;
2. Key Lab of Lunar and Deep Space Exploration, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China;
3. University of Chinese Academy of Sciences, Beijing 100012, China;
4. RISE Project, National Astronomical Observatory, Oshu 0230861, Japan |
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| Abstract: | In this paper, we consider the free-air gravity model by the GRAIL (Gravity Recovery and Interior Laboratory) mission and the topographic model from the LRO (Lunar Reconnaissance Orbiter) laser altimetry. They showed high correlation up to~500 (0.8) degree. The gravity-topography admittance (the ratio of gravity to topography in spectral domain) was low for degrees below~50 (i.e., wavelength longer than~220 km), but it increased sharply and was kept at constant value of~110 mgal/km. We employed the Gauss-Newton method and simple model to estimate the elastic thickness of the Moon at 11.76 km. This thickness value is not significantly different from those found in the present Earth in spite of the smaller dimension of the Moon. This implies that the significant portion of topographic features on the Moon was formed in the early ages of the Moon, when the heat flow was comparable to that in the present Earth. |
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| Keywords: | gravity topography admittance elastic thickness Gauss-Newton method |
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