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
相关论文
共 50 条
  • [21] UPDATE ON THE TWO-BODY PROBLEM
    Waldner, Liz
    CHICAGO REVIEW, 2017, 60 (03) : 112 - 113
  • [22] Integration of the full two-body problem by using generalized inertia integrals
    Xiyun Hou
    Astrophysics and Space Science, 2018, 363
  • [24] Equations of secular perturbations in the generalized two-body problem with variable mass
    Minglibaev, M. D.
    Shukirgaliev, B. T.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2011, 61 (01): : 73 - 77
  • [25] Two-body problem in graphene
    Sabio, J.
    Sols, F.
    Guinea, F.
    PHYSICAL REVIEW B, 2010, 81 (04):
  • [26] Love and the two-body problem
    Jamieson, V
    PHYSICS WORLD, 2001, 14 (10) : 37 - 39
  • [27] Kepler's problem of a two-body system perturbed by a third body
    Abdel-Rahman, A. S.
    Sabry, Youssef A.
    Ahmed, E. M.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (10):
  • [28] A note on the geometry of the two-body problem on S2
    Arsie, Alessandro
    Balabanova, Nataliya A.
    JOURNAL OF GEOMETRY AND PHYSICS, 2024, 198
  • [29] Bootstrapping the relativistic two-body problem
    Christoph Dlapa
    Gregor Kälin
    Zhengwen Liu
    Rafael A. Porto
    Journal of High Energy Physics, 2023
  • [30] Nuclear two-body variational problem
    Rarita, W
    Slawsky, ZI
    PHYSICAL REVIEW, 1938, 54 (12): : 1053 - 1054