On a new inequality in the planar three-body problem

被引：0
|
作者：
Barbosu, Michael [1 ]
Wiandt, Tamas [1 ]
机构：
[1] Rochester Inst Technol, Sch Math Sci, Rochester, NY 14623 USA
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2016年 / 361卷 / 06期
关键词：
Planar three-body problem; Regions of possible motion; Domain of admissible configurations; Sundman's inequality; STABILITY;
D O I：
10.1007/s10509-016-2793-1
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
This paper presents a new inequality in the planar three-body problem (P3BP). The inequality complements Sundman's inequality and we show that classical inequalities that determine the regions of possiblemotion and the domain of admissible configurations are direct consequences of our result. Additionally, it offers opportunities to further explore other qualitative features of the planar three-body problem.
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页数：5
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