Sundman stability in the general three-body problem

被引：0
|
作者：
Lukyanov, Lev G. [1 ,2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Dept Phys, Moscow, Russia
[2] Sternberg State Astron Inst, Moscow, Russia
来源：
DOKLADY PHYSICS | 2012年 / 57卷 / 10期
关键词：
3; BODIES; SURFACES;
D O I：
10.1134/S1028335812100102
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A new method for studying the Hill-type stability in the general three-body problem using Sundman's inequality is presented. Sundman's surfaces in 3D space are constructed, which are counterparts of Hill's surfaces. The conditional and unconditional Sundman stability criteria are established and used for determining the stability regions.
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页码：417 / 419
页数：3
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