行星-卫星相互作用的基本力学及地月系统
Basic Mechanics of Planet-Satellite Interaction with special reference to Earth-Moon System
摘要：
1879年，乔治·霍华德·达尔文从理论上分析了月球向外螺旋轨道以及随后平均太阳日的延长。作者根据月球以每年3.8厘米的速度后退的事实重新进行了同样的分析。根据阿波罗任务和现代观测手段所给出的边界条件，对地月系统的各种参数进行了优化。根据这一理论公式，绘制了平均太阳日随时间延长的理论图，并与基于古生物资料、古潮汐资料和铁条带建造的观测图进行了比较。发现后寒武纪时期的平均太阳日观测数据遵循理论上的平滑曲线，但在遥远的过去却偏离了理论曲线。这种偏差通过采用地球的转动惯量的演化形式来校正。观测数据的偏差促使作者提出，平均太阳日曲线的延长有可能作为临震和火山爆发的分析地震仪。对E-M系统的基本力学进行了推广，为太阳系中任意行星-卫星对的模拟软件的建立奠定了基础。
英文摘要：
In1879 George Howard Darwin theoretically analyzed the outward spiraling orbit of Moon and the subsequent lengthening of the Mean Solar Day. The author redid the same analysis based on the fact that Moon was receding at the rate of 3.8 cm per annum. Basic Mechanics of Earth-Moon is worked out and various system parameters are optimized to fit the given boundary condition obtained by Apollo Mission and other modern means of observations. Based on this theoretical formulation the theoretical graph of the lengthening of the Mean Solar Day with respect to time is drawn and is compared with the observational graph of the same based on pale ontological data, paleo tidal data and iron-banded formation. The observational data on Mean Solar Day is found to follow the theoretical smooth curve in post-Cambrian Era but is found to deviate in the remote past. This deviation is corrected by taking the evolving form of Moment of Inertia of Earth. The deviation of the observed data prompts the Author to suggest that the lengthening of the Mean Solar Day curve could possibly be used as an analytical seismograph for the impending earthquakes and sudden volcanic eruptions. The Basic Mechanics of E-M system is generalized to lay the foundation of simulation software for any Planet-Satellite pair in our Solar System.
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