On the Minimizing Triple Collision Orbits in the Planar Newtonian Three-Body Problem

被引:1
作者
Huang, Hsin-Yuan [1 ]
机构
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
关键词
N-BODY PROBLEM; 4-BODY PROBLEM; EQUAL MASSES; EXISTENCE;
D O I
10.1007/s00205-011-0417-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the minimizing triple collision orbits in the planar Newtonian three-body problem with arbitrary masses. We show that for a given non-collinear initial configuration, the minimizing triple collision orbit is collision-free until a simultaneous collision, and its limiting configuration is the Lagrangian configuration with the same orientation as the initial configuration. For the collinear initial configuration, under a certain technical assumption, there exist two minimizing orbits. The limiting configurations of these orbits are the two opposite Lagrangian configurations.
引用
收藏
页码:247 / 267
页数:21
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