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天体运行轨道的一般性Binet方程形式
引用本文:阎坤. 天体运行轨道的一般性Binet方程形式[J]. 地球物理学进展, 2005, 20(2): 534-539
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:通过讨论已有质速关系的方程形式,给出质速关系的等效极坐标方程及其Binet方程,进而给出质速关系及质能关系的几个较为具体的方程形式,包括超光速运动形式.随后应用质能关系探讨介质层壳弯曲方法中能量曲率方程解的一般形式,给出天体运行轨道的一般性Binet方程,给出了行星近日点进动、光线弯曲的解析分析.

关 键 词:天体运行轨道  质速关系方程  Binet方程  近日点进动  光线弯曲  引力频移
文章编号:1004-2903(2005)02-0534-06
修稿时间:2004-12-10

The general expression of Binet equation about celestial bodies motion orbits
YAN Kun. The general expression of Binet equation about celestial bodies motion orbits[J]. Progress in Geophysics, 2005, 20(2): 534-539
Authors:YAN Kun
Abstract:By discussing the existent equations of mass-velocity relation, the equivalent polar coordinate equation and its Binet equation of the mass-velocity relation are given, and the expressions of the mass-velocity relation and mass-energy relation are given too, which include the forms of superluminal motion. Subsequently, using the mass-energy relation, the general expression of the solution of the energy-curvature equation on the medium shell curve method is discussed, and the general expression of Binet equation about orbit of the celestial bodies motion is given. Further more, the analysis solutions of the advance of the perihelion of planets and bending of light for the gravitational force are given.
Keywords:orbit of the celestial bodies motion   equations of mass-velocity relation   Binet equation   superluminal motion   advance of the perihelion of planets   bending of light   gravitational frequency shift
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