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基于PREM模型的地球椭率及其一、二阶导数沿径向的分布
THE EARTH’S ELLIPTICITY AND ITS FIRST AND SECOND DERIVATIVES VERSUS RADIUS BASED ON PREM EARTH MODEL
【摘要】 本文基于PREM模型,通过解Clairaut微分方程求出地球的椭率及其一、二阶导数沿径向的分布,作为比较,计算分别采用自然边界和用大地测量给出的地表椭率两种边界条件,结果表明二者的椭率分布相对误差为3.9‰,最大不超过4‰。
【Abstract】 In this work we figure out the interior distribution of the Earth’s ellipticity and its first and second derivatives based on PREM Earth model by solving Clalraut’s differential equation.As comparison we apply forced and natural boundary conditions to the differential equation respective ly.The resuslts indicate that the relative difference between the two distribution of the ellipticity is no larger than 0.4%,and always varies around 0.39%.
【关键词】 椭率分布;
Clairaut方程;
PREM模型;
【Key words】 Ellipticity distribution; Clairaut’s equation; PREM Earth model;
【Key words】 Ellipticity distribution; Clairaut’s equation; PREM Earth model;
【基金】 国家自然科学基金
- 【文献出处】 测绘学报 ,ACTA GEODAETICA ET CARTOGRAPHICA SINICA , 编辑部邮箱 ,1996年03期
- 【分类号】P227
- 【被引频次】3
- 【下载频次】189