水星近日点进动的建模与摄动解  

Modelling and perturbation solution of the mercury perihelium precession

作　　者：王庚[1] 胡跃进[2] 

机构地区：[1]安徽机电学院应用数理系,安徽芜湖241000 [2]黄山高专数学系,安徽黄山245000

出　　处：《安徽机电学院学报》2000年第4期19-23,共5页Journal of Anhui Institute of Mechanical and Electrical Engineering

摘　　要：针对水星近日点进动现象，结合广义相对论建立了奇摄动微分方程模型，并运用多重尺度法，求出了一般行星进动问题的摄动解。The mercury perihelium precession problem was discussed. The theory of general relativity is used to set up the model of singular perturbation differential equation. By using the method of multiple scales, perturbation solutions of the planet perihelium precession problem are obtained.

关 键 词：广义相对论 CAUCHY问题 奇摄动 多重尺度法 

分 类 号：P185.1[天文地球—天文学] O175.25[理学—数学]