Sundman stability in the general three-body problem

被引：0
|
作者：
Lev G. Lukyanov
机构：
[1] Moscow State University,Physics Department
[2] Sternberg State Astronomical Institute,undefined
来源：
Doklady Physics | 2012年 / 57卷
关键词：
Singular Point; DOKLADY Physics; Body Problem; Conditional Stability; Unconditional Stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new method for studying the Hill-type stability in the general three-body problem using Sundman’s inequality is presented. Sundman’s surfaces in 3D space are constructed, which are counterparts of Hill’s surfaces. The conditional and unconditional Sundman stability criteria are established and used for determining the stability regions.
引用
收藏
页码：417 / 419
页数：2
相关论文
共 50 条
  • [1] Sundman stability in the general three-body problem
    Lukyanov, Lev G.
    DOKLADY PHYSICS, 2012, 57 (10) : 417 - 419
  • [2] Sundman surfaces and Hill stability in the three-body problem
    L. G. Luk’yanov
    G. I. Shirmin
    Astronomy Letters, 2007, 33 : 550 - 561
  • [3] Sundman surfaces and Hill stability in the three-body problem
    Luk'yanov, L. G.
    Shirmin, G. I.
    ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2007, 33 (08): : 550 - 561
  • [4] A coordinate form for the Sundman surfaces in the general three-body problem
    Luk'yanov, L. G.
    ASTRONOMY REPORTS, 2011, 55 (08) : 742 - 752
  • [5] A coordinate form for the Sundman surfaces in the general three-body problem
    L. G. Luk’yanov
    Astronomy Reports, 2011, 55 : 742 - 752
  • [6] Stability in the general three-body problem
    Mardling, RA
    EVOLUTION OF BINARY AND MULTIPLE STAR SYSTEMS: A MEETING IN CELEBRATION OF PETER EGGLETON'S 60TH BIRTHDAY, 2001, 229 : 101 - 116
  • [7] HILL STABILITY OF THE PLANAR THREE-BODY PROBLEM: GENERAL AND RESTRICTED CASES
    Nakamura, Takeshi
    Yoshida, Junzo
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1992, 54 (1-3): : 255 - 260
  • [8] Periodic orbits in the general three-body problem
    A. I. Martynova
    V. V. Orlov
    Solar System Research, 2013, 47 : 363 - 375
  • [9] General solution of a three-body problem in the plane
    Calogero, F
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (26): : 7291 - 7299
  • [10] Periodic orbits in the general three-body problem
    Martynova, A. I.
    Orlov, V. V.
    SOLAR SYSTEM RESEARCH, 2013, 47 (05) : 363 - 375
12345