Tung Chinchu. A Brief Account of G.D.Birkhoff’s Problem in the Problem of Three Bodies[J]. Applied Mathematics and Mechanics, 1980, 1(2): 215-219.
Citation: Tung Chinchu. A Brief Account of G.D.Birkhoff’s Problem in the Problem of Three Bodies[J]. Applied Mathematics and Mechanics, 1980, 1(2): 215-219.

A Brief Account of G.D.Birkhoff’s Problem in the Problem of Three Bodies

  • Received Date: 1979-12-01
  • Publish Date: 1980-04-15
  • The present article gives a historical survey of G,D.Birkhoff's seventh problem whick is an inquiry about the topological structure of the set of definition of the reduced differential equations of motion,Recent advances in the problem and their meaning have been briefly indicated.
  • loading
  • [1]
    Birkhoff,G.D.,Einige Problem der Dynamik,Jahresbericht der Deutschen Mathematikers Vereinigung(1929)38,Abt.Heft 1/4,1-16.Collected Worksy 778-793.
    [2]
    Birkhoff,G.D.,Dynamical Systems(1927), American Mathematical Society Colloquium Publications.
    [3]
    Kolmogrof,The general theory of dynamical systems and classical mechanics,(1954).International Congress of Mathematics.Amsterdam.
    [4]
    Wintner,A.,The analytical foundations of celestial mechanics.[5] Easton,R.W Some topology of the 3-body problem,Journal of Differential Equatious,10,2(1971).
    [5]
    Easton,R.W.,Some topology of n-body problems,Journal of Differential Equations,19,2(1975).
    [6]
    Easton,R.W.,The topology of the regularited integral surfaces of the 3-body problem,Jour,of D.E.12.2(1972).
    [7]
    Easton,R.W.Some qualitative aspects of the 3-body flow,Dynamical System Not,An international symposium(1976).
    [8]
    董金柱,一般三体问题的古典积分的一些性质,中国科学,1974年9月第5期.
    [9]
    董金柱,海王星的卫星的运动.北京天文台刊第15期.1978,12.58-66.
    [10]
    董金柱,月球运动的一个性质,北京天文台台刊.新刊第一期.(1979).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1808) PDF downloads(477) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return