Symmetries, reduction and relative equilibria for a gyrostat in the three-body problem

被引:6
|
作者
Mondéjar, F [1 ]
Vigueras, A [1 ]
Ferrer, S [1 ]
机构
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena 30203, Spain
来源
关键词
gyrostat; reduction; relative equilibria; three-body problem;
D O I
10.1023/A:1013303002722
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The problem of three bodies when one of them is a gyrostat is considered. Using the symmetries of the system we carry out two reductions. Global considerations about the conditions for relative equilibria are made. Finally, we restrict to an approximated model of the dynamics and a complete study of the relative equilibria is made.
引用
收藏
页码:45 / 50
页数:6
相关论文
共 50 条
  • [21] Three-Body Relative Equilibria on S2
    Fujiwara, Toshiaki
    Perez-Chavela, Ernesto
    REGULAR & CHAOTIC DYNAMICS, 2023, 28 (04): : 690 - 706
  • [22] The planar three-body problem, symmetries and periodic orbits
    Prada I.
    Jiménez-Lara L.
    Qualitative Theory of Dynamical Systems, 2009, 8 (2) : 419 - 442
  • [23] Reduction of the stellar three-body problem
    Saad, NA
    ASTROPHYSICS AND SPACE SCIENCE, 2003, 284 (03) : 1001 - 1012
  • [24] Geometric Reduction of the Three-Body Problem
    Sydnes, Lars
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2013, 34 (04) : 332 - 343
  • [25] Relative equilibrium in the three-body problem with a rigid body
    Fanny, C
    Badaoui, E
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1997, 69 (03): : 293 - 315
  • [26] Relative Equilibrium in the Three-Body Problem with a Rigid Body
    Cosson Fanny
    Elmabsout Badaoui
    Celestial Mechanics and Dynamical Astronomy, 1997, 69 : 293 - 315
  • [27] Eulerian equilibria of a triaxial gyrostat in the three body problem: rotational Poisson dynamics in Eulerian equilibria
    J. A. Vera
    Nonlinear Dynamics, 2009, 55 : 191 - 201
  • [28] Libration points of a gyrostat in a generalized restricted three-body problem: Linear stability
    Vera, J. A.
    Vigueras, A.
    ASTRODYNAMICS 2005, VOL 123, PTS 1-3, 2006, 123 : 2775 - +
  • [29] Eulerian equilibria of a triaxial gyrostat in the three body problem: rotational Poisson dynamics in Eulerian equilibria
    Vera, J. A.
    NONLINEAR DYNAMICS, 2009, 55 (1-2) : 191 - 201
  • [30] Natural dynamical reduction of the three-body problem
    Kol, Barak
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2023, 135 (03):