EVOLUTION OF THE MOMENT OF INERTIA IN THE MANY-BODY PROBLEM

被引：0

作者：

CHRISTIAN MARCHAL

孙义燧

机构：

[1] Office National d’Etudes et de Recherches Aerospatiales (ONERA)

[2] Nanjing University

[3] France

[4] Chtillon

[5] Department of Astronomy

来源：

Science China Mathematics | 1985年 / 06期

关键词：

body; EVOLUTION OF THE MOMENT OF INERTIA IN THE MANY-BODY PROBLEM;

D O I：

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学科分类号：

摘要：

For the many-body problem the bifurcation curves between the attainable domain and the forbidden domain in the plane （ρ, t） are obtained where ρ is the "mean quadratic distance"（proportional to the square root of the moment of inertia）and, for example, it is shown that for the negative energy systems ρ cannot be smaller than α for a duration larger than T/2, where α is the generalized semi-major axis, T the corresponding period, i.e. T=2π （α/μ）, μ gravitational constant.

引用

页码：638 / 647

页数：10