Libration points of a gyrostat in a generalized restricted three-body problem: Linear stability

被引：0
|
作者：
Vera, J. A. [1 ]
Vigueras, A. [1 ]
机构：
[1] Tech Univ Cartagena, Dept Appl Math & Stat, Paseo Alfonso 13,52, Cartagena 30203, Murcia, Spain
来源：
ASTRODYNAMICS 2005, VOL 123, PTS 1-3 | 2006年 / 123卷
关键词：
D O I：
暂无
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
In this paper we consider the dynamics, in some invariant manifolds of the motion of a gyrostat in Newtonian attraction with two. spherical rigid bodies (or material points), by means of a Hamiltonian function that generalizes the planar restricted three-body problem. We obtain three collinear (or Eulerian) equilibria for the restricted planar three body problem with a gyrostat. The triangular (or Lagrangian) equilibria have been completely determined and their linear stability region and resonance curves are given. The classical result of the planar restricted three-body problem is obtained as a particular case. Similar results are given for the Hill lunar problem with a gyrostat.
引用
收藏
页码：2775 / +
页数：5
相关论文
共 50 条
  • [21] Periodic motion around libration points in the Elliptic Restricted Three-Body Problem
    Fabio Ferrari
    Michèle Lavagna
    Nonlinear Dynamics, 2018, 93 : 453 - 462
  • [22] A Study of Albedo Effects on Libration Points in the Elliptic Restricted Three-Body Problem
    M. Javed Idrisi
    M. Shahbaz Ullah
    The Journal of the Astronautical Sciences, 2020, 67 : 863 - 879
  • [23] On motions around the collinear libration points in the elliptic restricted three-body problem
    Hou, X. Y.
    Liu, L.
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2011, 415 (04) : 3552 - 3560
  • [24] A Study of Albedo Effects on Libration Points in the Elliptic Restricted Three-Body Problem
    Idrisi, M. Javed
    Ullah, M. Shahbaz
    JOURNAL OF THE ASTRONAUTICAL SCIENCES, 2020, 67 (03): : 863 - 879
  • [25] Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies
    Sharma, RK
    Taqvi, ZA
    Bhatnagar, KB
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2001, 79 (02): : 119 - 133
  • [26] On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem
    Perez-Rothen, Yocelyn
    Valeriano, Lucas Rezende
    Vidal, Claudio
    REGULAR & CHAOTIC DYNAMICS, 2022, 27 (01): : 98 - 121
  • [27] ABOUT STABILITY OF LIBRATION POINTS IN THE RESTRICTED PHOTOGRAVITATIONAL THREE BODY PROBLEM
    Gozdziewski, Krzysztof
    Maciejewski, Andrzej J.
    Niedzielska, Zuzanna
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1991, 52 (02): : 195 - 201
  • [28] On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem
    Yocelyn Pérez-Rothen
    Lucas Rezende Valeriano
    Claudio Vidal
    Regular and Chaotic Dynamics, 2022, 27 : 98 - 121
  • [29] Existence and Stability of Libration Points in the Restricted Three-Body Problem When the Primaries are Triaxial Rigid Bodies
    Ravinder Kumar Sharma
    Z. A. Taqvi
    K. B. Bhatnagar
    Celestial Mechanics and Dynamical Astronomy, 2001, 79 : 119 - 133
  • [30] On the Stability of Equilibrium Points in the Relativistic Restricted Three-Body Problem
    C.N. Douskos
    E.A. Perdios
    Celestial Mechanics and Dynamical Astronomy, 2002, 82 : 317 - 321
12345