THE MASSES IN A SYMMETRIC SOLUTION OF THE FOUR BODY PROBLEM

被引：0
|
作者：
Diacu, Florin Nicolae [1 ]
机构：
[1] Univ Heidelberg, Inst Angew Math, D-6900 Heidelberg 1, Germany
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1989年 / 46卷 / 01期
关键词：
D O I：
暂无
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
It is proved that if a non-collinear motion of the four body problem has a symmetry axis (or plane), then the center of mass lies on this axis (plane) and the symmetric masses are equal. We also remark that this result is true for the generalized attraction law given by the inverse (alpha+1)-power of the distance, with alpha > 0.
引用
收藏
页码：27 / 30
页数：4
相关论文
共 50 条
  • [21] Periodic orbits in the restricted four-body problem with two equal masses
    Burgos-Garcia, Jaime
    Delgado, Joaquin
    ASTROPHYSICS AND SPACE SCIENCE, 2013, 345 (02) : 247 - 263
  • [22] Multiple symmetric periodic solutions to the 2n-body problem with equal masses
    Shibayama, Mitsuru
    NONLINEARITY, 2006, 19 (10) : 2441 - 2453
  • [23] SOLUTION OF AN AXIALLY-SYMMETRIC PROBLEM FOR A RESILIENT BODY WITH A CYLINDRICAL CRACK
    MARTYNENKO, MA
    ULITKO, AT
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1982, (10): : 43 - 46
  • [24] Equilibria of the symmetric collinear restricted four-body problem with radiation pressure
    M. Arribas
    A. Abad
    A. Elipe
    M. Palacios
    Astrophysics and Space Science, 2016, 361
  • [25] Ejection-Collision orbits in the symmetric collinear four-body problem
    Alvarez-Ramirez, M.
    Barrabes, E.
    Medina, M.
    Olle, M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 71 : 82 - 100
  • [26] Equilibria of the symmetric collinear restricted four-body problem with radiation pressure
    Arribas, M.
    Abad, A.
    Elipe, A.
    Palacios, M.
    ASTROPHYSICS AND SPACE SCIENCE, 2016, 361 (02) : 1 - 12
  • [27] Triangular solution to the general relativistic three-body problem for general masses
    Yamada, Kei
    Asada, Hideki
    PHYSICAL REVIEW D, 2012, 86 (12):
  • [28] A remarkable periodic solution of the three-body problem in the case of equal masses
    Chenciner, A
    Montgomery, R
    ANNALS OF MATHEMATICS, 2000, 152 (03) : 881 - 901
  • [29] Action-minimizing orbits in the parallelogram four-body problem with equal masses
    Chen, KC
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 158 (04) : 293 - 318
  • [30] Action-Minimizing Orbits in the Parallelogram Four-Body Problem with Equal Masses
    Kuo-Chang Chen
    Archive for Rational Mechanics and Analysis, 2001, 158 : 293 - 318
12345