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双层结构月球的自由天平动与受迫天平动
李文潇1, Alexander GUSEV2, 平劲松3, 张同杰1
1.北京师范大学天文系;2.俄罗斯喀山联邦大学;3.中国科学院国家天文台月球与深空探测重点实验室
摘要:
根据JPL/NASA发布的月球行星历表DE430/LE430提供的月球物理参数,计算了月球主转动惯量;使用刚体月球转动微分方程获得的月球物理天平动解析关系式,计算了不同分层模型的月球自由天平动三个模式的频率及周期,比较并讨论了不同的解析结果;在此基础上,评估了月球受迫天平动一个模式的幅度。
关键词:  月球天平动  解析方法  频率及周期  幅值
DOI：10.15982/j.issn.2095-7777.2014.03.007
分类号:P691
基金项目:国家重点基础研究发展计划(973计划)项目(2015CB857101);中科院外籍专家项目(2013T2J0016);中科院俄乌白国际合作项目(2013-2014)
Free and Forced Librations of Two-Layer Structure of the Moon
LI Wenxiao1, Alexander GUSEV2, PING Jinsong3, ZHANG Tongji1
1.Department of Astronomy,Beijing Normal University;2.Russian Kazan Federal University;3.Key Laboratory of Lunar and Planetary Exploration Research, National Astronomical Observatories, CAS
Abstract:
Based on the lunar physical parameters in ephemeris DE430/LE430 of JPL/NASA, we estimated the moments of inertia of the Moon. Using these values of moment of inertia, the frequencies and periods of lunar free librations in different modes have been calculated by solving the rotational differential equations of rigid Moon. We compared the results and discussed the analytic results of lunar librations. Meanwhile, we also estimated the forced librations by means of the amplitude of longitudinal part. For the further research, more analytic methods should be mixed into numerical results, and the interactions between two layers would be next objective.
Key words:  lunar librations  analytic methods  frequencies and periods  amplitude