Global flow in the generalized Buckingham's two-body problem

被引:2
|
作者
Popescu, E. [1 ,2 ]
Pricopi, D. [1 ]
机构
[1] Astronom Inst Romanian Acad, Str. Cultitul Argint, Bucharest 040557, Romania
[2] Tech univ Civil Engn, Bd. Lacul Tei 124, Bucharest 020396, Romania
关键词
Two-body problem; Generalized Buckingham potential; Global flow; Phase portrait;
D O I
10.1007/s10509-017-3051-x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper, we consider the generalized Buckingham potential. Using the McGehee's regularizing transformations, we study the global flow for the two-body problem associated to this potential. By making vary the angular momentum constant in the three cases of negative, zero, and positive energy, we analyze all possible situations. In each case, we obtain the global flow of the problem, exhibiting a great variety of orbits. All phase portraits are interpreted in terms of physical trajectories.
引用
收藏
页数:7
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