Reduction of the stellar three-body problem

被引：0
|
作者：
Saad, NA [1 ]
机构：
[1] Natl Res Inst Astron & Geophys Helwan, Cairo, Egypt
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2003年 / 284卷 / 03期
关键词：
Poisson Bracket; Orbital Element; Canonical Transformation; Period Motion; Close Pair;
D O I：
10.1023/A:1023342915681
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The stellar problem of three bodies is studied. A Lie transform is used to eliminate the short and intermediate periodic terms from Harrington's Hamiltonian. The resulting system is a one of two degrees of freedom whose further reduction requires recourse to numerical procedures.
引用
收藏
页码：1001 / 1012
页数：12
相关论文
共 50 条
  • [31] The three-body problem and the Hannay angle
    Spallicci, ADAM
    Morbidelli, A
    Metris, G
    NONLINEARITY, 2005, 18 (01) : 45 - 54
  • [32] SYMMETRIES IN CLASSICAL THREE-BODY PROBLEM
    NYIRI, J
    ACTA PHYSICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1972, 32 (1-4): : 241 - &
  • [33] Equilibria in an accelerated three-body problem
    Colin R. McInnes
    Celestial Mechanics and Dynamical Astronomy, 2023, 135
  • [34] Secular Instability in the Three-Body Problem
    J. Féjoz
    M. Guardia
    Archive for Rational Mechanics and Analysis, 2016, 221 : 335 - 362
  • [35] ON THE ELLIPTIC RESTRICTED THREE-BODY PROBLEM
    Llibre, Jaume
    Pinol, Conxita
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1990, 48 (04): : 319 - 345
  • [36] Statistical approach to the three-body problem
    Valtonen, M
    Mylläri, A
    Orlov, V
    Rubinov, A
    ORDER AND CHAOS IN STELLAR AND PLANETARY SYSTEMS, 2004, 316 : 45 - 56
  • [37] CONTROL OF THE RESTRICTED THREE-BODY PROBLEM
    Kalmar-Nagy, Tamas
    Mortari, Daniele
    KYLE T. ALFRIEND ASTRODYNAMICS SYMPOSIUM, 2011, 139 : 79 - 86
  • [38] Relativistic Pythagorean three-body problem
    Boekholt, Tjarda C. N.
    Moerman, Arend
    Zwart, Simon F. Portegies
    PHYSICAL REVIEW D, 2021, 104 (08)
  • [39] Reduction of relativistic three-body kinematics
    Droz-Vincent, P
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (08) : 1809 - 1834
  • [40] On the periodic solutions of the three-body problem
    Shijun Liao
    Xiaoming Li
    NationalScienceReview, 2019, 6 (06) : 1070 - 1071
12345