开普勒三定律与地球公转轨道参数的讨论
发布时间：2019-01-04 18:02
【摘要】：分别从拉格朗日量、龙格-楞次矢量以及微分方程出发,由万有引力定律导出了开普勒三定律,并积分得到开普勒方程与轨道周期.利用文献中的数据计算了地球公转轨道的偏心率和周期,发现有的文献给出的地球近日点和远日点速率值使得计算结果和观测值之间存在较大的不一致.分析其原因并给出了速率的修正值,从而保证了计算结果和观测值之间的自洽性.
[Abstract]:From Lagrange quantity, Runge-Lenz vector and differential equation, Kepler's three laws are derived from the law of universal gravity, and the Kepler equation and orbital period are obtained by integral. The eccentricity and the period of the Earth's orbit are calculated by using the data in the literature. It is found that the values of the rate of perihelion and apogee given in some literatures make the calculated results and the observed values more inconsistent. The reason is analyzed and the correction value of the rate is given so as to ensure the self-consistency between the calculated results and the observed values.
【作者单位】： 北京大学附属中学;
【分类号】：O314
本文编号：2400610
[Abstract]:From Lagrange quantity, Runge-Lenz vector and differential equation, Kepler's three laws are derived from the law of universal gravity, and the Kepler equation and orbital period are obtained by integral. The eccentricity and the period of the Earth's orbit are calculated by using the data in the literature. It is found that the values of the rate of perihelion and apogee given in some literatures make the calculated results and the observed values more inconsistent. The reason is analyzed and the correction value of the rate is given so as to ensure the self-consistency between the calculated results and the observed values.
【作者单位】： 北京大学附属中学;
【分类号】：O314
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，本文编号：2400610
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