Two-centre regularization:: One-dimensional restricted four-body problem

被引:3
|
作者
Lopez-Castillo, A.
机构
[1] Univ Vienna, Inst Theoret Chem, A-1090 Vienna, Austria
[2] UNIFIEO, Ctr Univ FIEO, Dept Quim, BR-06020190 Osasco, SP, Brazil
关键词
D O I
10.1007/s00601-006-0171-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a two-centre regularization procedure in order to study mainly a one-dimensional restricted four-body problem for charge dynamics. Our particular system is the hydrogen molecule, which is a mixed chaotic system. Several types of periodic orbits of that two-fixed-centre system were found for one-dimensional medial and axial configurations.
引用
收藏
页码:193 / 208
页数:16
相关论文
共 50 条
  • [21] Sitnikov restricted four-body problem with radiation pressure
    Md Sanam Suraj
    M. R. Hassan
    Astrophysics and Space Science, 2014, 349 : 705 - 716
  • [22] A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem
    Sweatman, WL
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2006, 94 (01): : 37 - 65
  • [23] Families of periodic orbits in the restricted four-body problem
    A. N. Baltagiannis
    K. E. Papadakis
    Astrophysics and Space Science, 2011, 336 : 357 - 367
  • [24] Dynamical Aspects of an Equilateral Restricted Four-Body Problem
    Alvarez-Ramirez, Martha
    Vidal, Claudio
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [25] Periodic solutions in the photogravitational restricted four-body problem
    Papadouris, J. P.
    Papadakis, K. E.
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2014, 442 (02) : 1628 - 1639
  • [26] Hydrogen molecule as a classical restricted four-body problem
    LopezCastillo, A
    PHYSICAL REVIEW LETTERS, 1996, 77 (22) : 4516 - 4519
  • [27] EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM
    Baltagiannis, A. N.
    Papadakis, K. E.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (08): : 2179 - 2193
  • [28] Arnold diffusion in a restricted planar four-body problem
    Xue, Jinxin
    NONLINEARITY, 2014, 27 (12) : 2887 - 2908
  • [29] Equilibrium points in the photogravitational restricted four-body problem
    Papadouris, J. P.
    Papadakis, K. E.
    ASTROPHYSICS AND SPACE SCIENCE, 2013, 344 (01) : 21 - 38
  • [30] Hill's approximation in a restricted four-body problem
    Burgos-Garcia, Jaime
    Gidea, Marian
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2015, 122 (02): : 117 - 141