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Tides of the Moon and the Orbital Evolution

月球潮汐和轨道演化

基本信息

批准号：
03640253
负责人：
OOE Masatsugu
金额：
$ 0.96万
依托单位：
National Astronomical Observatory
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1991
资助国家：
日本
起止时间：
1991 至 1992
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03640253/
关键词：
tidal interatraction of the Earth and the Moon evolution of the lunar orbit and spin motion variation of the Earth's spin rate VLBI observations of the artificiai radio sources on the Moon 月の軌道の変化大陸及び海洋分布海洋潮汐数値モデル月の潮汐地球回転の変化月軌道変化

项目摘要

In previous works, we had studied the tidal effects on the lunar orbit and the Earth's rotation by using simple ocean models. These results helped us to understand the evolution of the Earth-Moon system, such as changes of the orbital radius and inclination and thes pin rates etc.The spin axis of the present Moon satisfies the second status of Cassini's law and the orbital period agrees with the rotational period. This could be caused by the tidal friction which reduced the spin rate of the Moon during the early 1 or 2 billion years.This research aims at improving the tidal models of the Earth's oceans and the Moon and at studying the orbital evolution more precisely to investigate the origin of the Earth-Moon system and to clarify the variation of the spin motion of the Moon. The process of research and obtained results are as follows.1) We computed the tidal models of the oceans at Permian age (200Ma b.p.) and at Cambrian age (500 Ma b.p.) and found that the tidal torque is lager in … More the case that the continents of the Earth distribute along the equator than in the case that the continents distribute along the meridian or concentrate to the polar region.2) The tidal Love numbers of the Moon were computed taking the internal construction into consideration and we succeeded to estimate the tidal deformation of the Moon due to the Earth's rotation.3) The effect of the tidal friction which works to change the lunar eccentricity was studied. A new method of computation was developed to simulate the variation of the eccentricity due to the tides.4) We estimated the effects of the Sun to the tidal evolution of the Earth-Moon system and confirmed that the fluctuation of the Earth's rotation during the past 600Ma presented by paleontological studies is well explained by the variation of the tidal friction due to the continental drift.5) We have succeeded to set bounds to the orbital evolution of the Moon during the past 4 to 5 billion years.6) VLBI observations of the Moon using the artificial radio sources were studied to make observations of the tides and the libration of the Moon Less

在以前的工作中，我们用简单的海洋模型研究了潮汐对月球轨道和地球自转的影响。这些结果有助于我们理解地月系统的演化，如轨道半径和倾角的变化以及这些销率等。目前月球的自转轴满足卡西尼定律的第二状态，轨道周期与旋转周期一致。这可能是由于潮汐摩擦造成的，在最初的10亿或20亿年里，潮汐摩擦降低了月球的自转速度。这项研究旨在改进地球海洋和月球的潮汐模型，更精确地研究地球-月球系统的起源，阐明月球自旋运动的变化。研究过程及所得结果如下：1)计算了二叠纪（200Ma b.p.）和寒武纪（500ma b.p.）的海洋潮汐模型，发现地球大陆沿赤道分布时的潮汐力矩大于大陆沿子午线分布或向极地集中时的潮汐力矩。2)在考虑月球内部构造的情况下，计算了月球的潮汐Love数，成功估算了地球自转引起的月球潮汐变形。3)研究了潮汐摩擦对月球偏心率的影响。提出了一种新的计算方法来模拟潮汐对离心率的影响。4)估算了太阳对地月系统潮汐演化的影响，证实了古生物研究显示的600Ma以来地球自转的波动可以用大陆漂移引起的潮汐摩擦的变化来解释。我们已经成功地确定了过去四五十亿年间月球轨道演变的界限。6)研究了利用人工射电源对月球进行的VLBI观测，对月球的潮汐和振动进行了观测