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李文潇, AlexanderGUSEV, 平劲松, 张同杰. 双层结构月球的自由天平动与受迫天平动[J]. 深空探测学报(中英文), 2014, 1(3): 205-209. DOI: 10.15982/j.issn.2095-7777.2014.03.007
引用本文: 李文潇, AlexanderGUSEV, 平劲松, 张同杰. 双层结构月球的自由天平动与受迫天平动[J]. 深空探测学报(中英文), 2014, 1(3): 205-209. DOI: 10.15982/j.issn.2095-7777.2014.03.007
LI Wenxiao, Alexander GUSEV, PING Jinsong, ZHANG Tongji. Free and Forced Librations of Two-Layer Structure of the Moon[J]. Journal of Deep Space Exploration, 2014, 1(3): 205-209. DOI: 10.15982/j.issn.2095-7777.2014.03.007
Citation: LI Wenxiao, Alexander GUSEV, PING Jinsong, ZHANG Tongji. Free and Forced Librations of Two-Layer Structure of the Moon[J]. Journal of Deep Space Exploration, 2014, 1(3): 205-209. DOI: 10.15982/j.issn.2095-7777.2014.03.007

双层结构月球的自由天平动与受迫天平动

Free and Forced Librations of Two-Layer Structure of the Moon

  • 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。

     

    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.

     

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