A note on weak stability boundaries

被引：78
|
作者：
Garcia, F. [1 ]
Gomez, G. [1 ]
机构：
[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2007年 / 97卷 / 02期
关键词：
weak stability boundaries; invariant manifolds; libration points;
D O I：
10.1007/s10569-006-9053-6
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
This paper is devoted to clarify the algorithmic definition of the weak stability boundary in the framework of the planar Restricted Three Body Problem. The role of the invariant hyperbolic manifolds associated to the central manifolds of the libration points L (1) and L (2), as boundary of the weak stability region, is shown.
引用
收藏
页码：87 / 100
页数：14
相关论文
共 50 条
  • [1] A note on weak stability boundaries
    F. García
    G. Gómez
    Celestial Mechanics and Dynamical Astronomy, 2007, 97 : 87 - 100
  • [2] Geometry of Weak Stability Boundaries
    Belbruno, E.
    Gidea, M.
    Topputo, F.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2013, 12 (01) : 53 - 66
  • [3] Geometry of Weak Stability Boundaries
    E. Belbruno
    M. Gidea
    F. Topputo
    Qualitative Theory of Dynamical Systems, 2013, 12 : 53 - 66
  • [4] Computation of weak stability boundaries: Sun–Jupiter system
    Francesco Topputo
    Edward Belbruno
    Celestial Mechanics and Dynamical Astronomy, 2009, 105 : 3 - 17
  • [5] Weak variations of Lipschitz graphs and stability of phase boundaries
    Yury Grabovsky
    Vladislav A. Kucher
    Lev Truskinovsky
    Continuum Mechanics and Thermodynamics, 2011, 23 : 87 - 123
  • [6] Survey of Recent Results on Weak Stability Boundaries and Applications
    Belbruno, Edward
    SPACE MANIFOLD DYNAMICS: NOVEL SPACEWAYS FOR SCIENCES AND EXPLORATION, 2010, : 133 - 147
  • [7] Weak variations of Lipschitz graphs and stability of phase boundaries
    Grabovsky, Yury
    Kucher, Vladislav A.
    Truskinovsky, Lev
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2011, 23 (02) : 87 - 123
  • [8] METHOD OF IDENTIFYING WEAK TRANSMISSION NETWORK STABILITY BOUNDARIES
    LIE, T
    SCHLUETER, RA
    RUSCHE, PA
    RHOADES, R
    IEEE TRANSACTIONS ON POWER SYSTEMS, 1993, 8 (01) : 293 - 301
  • [9] A survey of weak stability boundaries in the Sun-Mars system
    Jian Li
    Yi-Sui Sun
    Research in Astronomy and Astrophysics, 2015, 15 (03) : 376 - 392
  • [10] A survey of weak stability boundaries in the Sun-Mars system
    Li, Jian
    Sun, Yi-Sui
    RESEARCH IN ASTRONOMY AND ASTROPHYSICS, 2015, 15 (03) : 376 - 392
12345