AN ALTERNATIVE DEDUCTION OF THE HILL-TYPE SURFACES OF THE SPATIAL 3-BODY PROBLEM

被引：3

作者：

Ge, Yan-Chao ^{[1
]}

Leng, Xiaoling ^{[2
]}

机构：

[1] Univ Glasgow, Dept Phys & Astron, Glasgow G12 8QQ, Lanark, Scotland

[2] Univ Glasgow, Dept Civil Engn, Glasgow G12 8QQ, Lanark, Scotland

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1992年 / 53卷 / 03期

关键词：

Spatial 3-body problem; best possible zero velocity surface; inertia ellipsoid; canonical transformation;

D O I：

10.1007/BF00052612

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In the present paper, inequalities stronger than Sundman's and the best possible zero velocity surfaces of the spatial 3-body problem first obtained by Saari (1987) are deduced using a modified version of the transformation developed by Zare (1976). The notion of inertia ellipsoid is used to show the equivalence of the present authors' result to that of Saafi's.

引用

页码：233 / 254

页数：22

共 9 条

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