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Tidal Interaction of the Earth and the Moon and the Lunar Origin

地球和月球的潮汐相互作用以及月球起源

基本信息

批准号：
01540225
负责人：
OOE Masatugu
金额：
$ 0.51万
依托单位：
National Astronomical Observatory, Division of Earth Rotation
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1989
资助国家：
日本
起止时间：
1989 至 1990
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01540225/
关键词：
Configuration of Oceans Ocean Tide model Tidal Torque Earth Rotation Lunar Orbit Dynamical Evolution 固体地球の粘性地球自転速度変化月軌道塩化地球の偏平率の効果

项目摘要

Ocean dynamics is extremely important in the study of the Earth-Moon system.Phase delays in oceanic and solid tides generate torques to perturb the orbital motion of the Moon and the Earth's rotation. At the present day, the ratio between the torques of the oceanic and the solid tide is about 10:1.The oceanic tide is affected by friction in the oceans and also by the shapes of boundaries. Ocean dynamics seems to be functional to the frequencies of the tidal waves and also is affected by the Earth's spin velocity through the Coriori force.Many works have been performed by hydrologists since earlier time. We investigated effects of the eddy viscosity and the linear and/or non-linear friction terms in the hydrodynamic equations of one-layered ocean models and showed several experiences in the numerical simulation of ocean tide. Tidal models obtained by the present study were compared with current accurate models.The distribution of the oceans affects the tidal bulge to remarkable extents. We investigated these effects using a Permian and a Canbrian continental model. Corresponding to the much earlier era, we used more simple and idealized continent models.The effects of the tidal torques were computed by Lagrangian Planetary equations.Rigorous formulas were used to take account the eccentricity and the inclination of the orbit and also the prefessional motions in the estimation of the orbital evolution.Obtained results after these procedures would set bounds to the past variations of the lunar orbit and the Earth's rotation. Simulation studies of the evolution of the Earth-Moon system were presented.

海洋动力学在地月系统的研究中占有极其重要的地位，海洋潮汐和固体潮汐的相位延迟会产生力矩，扰动月球的轨道运动和地球的自转。目前，固体潮和海洋潮的力矩之比约为10：1。海洋潮不仅受到海洋摩擦力的影响，而且还受到边界形状的影响。海洋动力学似乎是潮汐波频率的函数，也受到地球自转速度通过科里奥利力的影响。本文研究了单层海洋模型的流体动力学方程中的涡动粘性项和线性及非线性摩擦项的影响，并给出了在潮汐数值模拟中的一些经验。通过与现有潮汐模型的比较，发现海洋的分布对潮隆有显著的影响。我们调查了这些影响，使用二叠纪和坎布里亚大陆模型。与更早的时代相对应，本文采用了较为简单和理想化的大陆模型。潮汐力矩的影响用拉格朗日行星方程计算。在估计轨道演化时，采用了严格的公式，考虑了轨道偏心率、轨道倾角和行星的轴向运动。这些程序的结果将为过去的月球轨道和地球轨道的变化提供一个界限旋转介绍了对地月系统演变的模拟研究。