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天体运行的介质层壳与离散轨道引论
引用本文:阎坤.天体运行的介质层壳与离散轨道引论[J].地球物理学进展,2004,19(4):984-995.
作者姓名:阎坤
作者单位:西安现代非线性科学应用研究所,西安,710061
摘    要:采用介质层壳弯曲的唯象方法,在规整三维空间中给出了能量曲率方程及物体间的能量引力形式表述,其引力方程的二个条件解分别与Newton引力理论及Einstein引力理论的有关结果相近.讨论了目前分维微积分在函数方面的局限性,给出了相似扩展方程,随后通过讨论天体运行轨道的基线扩展特征,给出了天体运行的离散轨道方程,并以太阳系行星及部分卫星为例,给出了这些天体运行离散轨道方程的具体表述形式。

关 键 词:介质层壳弯曲  离散轨道方程  能量曲率方程  分维微积分的局限  相似扩展方程  分维扩展
文章编号:1004-2903(2004)04-0984-12
修稿时间:2004年4月10日

Introductions on the medium shell and discrete orbits of celestial bodies motion
YAN Kun.Introductions on the medium shell and discrete orbits of celestial bodies motion[J].Progress in Geophysics,2004,19(4):984-995.
Authors:YAN Kun
Abstract:By using phenomenological method for the medium shell curve,an energy-curvature equation on three di-mensions regular space and the energy-gravitation form about gravitational interaction between bodies are given.Fur-ther more,two condition solutions of the gravitational expression is close by with the results of Newton's gravitationaltheory and Einstein's general relativity respectively.The localizations in the functions of the fractal dimension calculusat present are discussed,and the similar expanded equation is given.Subsequently,by discussing the expanded base-line property on the celestial motion orbit,the discrete orbital equation of the celestial bodies motion are given.Andreferring to the related orbital data of planets and some satellites in the solar system,the concrete expression on thediscrete orbit of the celestial bodies motion are given.
Keywords:medium shell curve  discrete orbital equation of celestial bodies motion  energy-curvature equation  localization of fractal dimension calculus  similar expanded equation  fractal dimension expanded
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