Qualitative study of a charged restricted three-body problem

被引:4
|
作者
Llibre, Jaume [1 ]
Pasca, Daniel [2 ]
Valls, Claudia [3 ]
机构
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania
[3] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
关键词
Charged restricted three-body problem; Periodic orbits; Global dynamics; EQUILIBRIA; COLLISION;
D O I
10.1016/j.jde.2013.04.012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize the global flow of the restricted three-body problem in which we have two mass points of equal masses m(1) = m(2) > 0 and equal charge q(1) = q(2) moving on a straight line under Newtonian and Coulombian forces with their center of mass being fixed at the origin of coordinates and the third mass point with infinitesimal mass, is moving on the straight line perpendicular to the line of motion of the first two mass points and passing through their center of mass. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:326 / 338
页数:13
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