Sundman stability in the general three-body problem

被引：0
|
作者：
Lukyanov, Lev G. [1 ,2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Dept Phys, Moscow, Russia
[2] Sternberg State Astron Inst, Moscow, Russia
来源：
DOKLADY PHYSICS | 2012年 / 57卷 / 10期
关键词：
3; BODIES; SURFACES;
D O I：
10.1134/S1028335812100102
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
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：3
相关论文
共 50 条
  • [31] AN ACCURATE ORBITAL INTEGRATOR FOR THE RESTRICTED THREE-BODY PROBLEM AS A SPECIAL CASE OF THE DISCRETE-TIME GENERAL THREE-BODY PROBLEM
    Minesaki, Yukitaka
    ASTRONOMICAL JOURNAL, 2013, 146 (02):
  • [32] Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses
    Yamada, Kei
    Tsuchiya, Takuya
    Asada, Hideki
    PHYSICAL REVIEW D, 2015, 91 (12):
  • [33] On reduction of the general three-body Newtonian problem and the curved geometry
    Gevorkyan, A. S.
    2ND INTERNATIONAL SYMPOSIUM ON THE MODERN PHYSICS OF COMPACT STARS AND RELATIVISTIC GRAVITY, 2014, 496
  • [34] Choreographic solution to the general-relativistic three-body problem
    Imai, Tatsunori
    Chiba, Takamasa
    Asada, Hideki
    PHYSICAL REVIEW LETTERS, 2007, 98 (20)
  • [35] Surfaces of zero kinetic energy in a general three-body problem
    Luk'yanov, LG
    Shirmin, GI
    ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2001, 27 (12): : 816 - 819
  • [36] On an Application of the Hill Approach to the General Case of the Three-body Problem
    Sosnitskii, Stepan P.
    ASTRONOMICAL JOURNAL, 2024, 167 (05):
  • [37] Criteria for a triple approach and ejection in a general three-body problem
    Martynova, A.I.
    Orlov, V.V.
    Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, 2000, (02): : 130 - 133
  • [38] Approach-ejection correlation in the general three-body problem
    Orlov, VV
    Petrova, AV
    Martynova, AI
    ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2001, 27 (07): : 470 - 474
  • [39] Surfaces of zero kinetic energy in a general three-body problem
    L. G. Luk’yanov
    G. I. Shirmin
    Astronomy Letters, 2001, 27 : 816 - 819
  • [40] Approach-ejection correlation in the general three-body problem
    V. V. Orlov
    A. V. Petrova
    A. I. Martynova
    Astronomy Letters, 2001, 27 : 470 - 474
12345