On the stability of equilibrium points in the relativistic restricted three-body problem

被引：23

作者：

Douskos, CN ^{[1
]}

Perdios, EA ^{[1
]}

机构：

[1] Univ Patras, Dept Engn Sci, GR-26110 Patras, Greece

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2002年 / 82卷 / 04期

关键词：

relativistic restricted problem; equilibrium points; stability;

D O I：

10.1023/A:1015296327786

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The equilibrium points of the relativistic restricted three-body problem are considered. The stability of the triangular points is determined and contrary to recent results of other authors a region of linear stability in the parameter space is obtained. The positions of the collinear points are approximated by series by expansions and their stability is similarly determined. It is found that these are always unstable.

引用

页码：317 / 321

页数：5

共 50 条

[1] On the Stability of Equilibrium Points in the Relativistic Restricted Three-Body Problem
C.N. Douskos
E.A. Perdios
[J]. Celestial Mechanics and Dynamical Astronomy, 2002, 82 : 317 - 321
[2] On the equilibrium points of the relativistic restricted three-body problem
Ragos, O
Perdios, EA
Kalantonis, VS
Vrahatis, MN
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3413 - 3418
[3] Stability of equilibrium points in the restricted full three-body problem
Bellerose, J.
Scheeres, D. J.
[J]. ACTA ASTRONAUTICA, 2007, 60 (03) : 141 - 152
[4] Stability of equilibrium points in the generalized perturbed restricted three-body problem
Singh, Jagadish
Begha, Jessica Mrumun
[J]. ASTROPHYSICS AND SPACE SCIENCE, 2011, 331 (02) : 511 - 519
[5] On the stability of artificial equilibrium points in the circular restricted three-body problem
Bombardelli, Claudio
Pelaez, Jesus
[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2011, 109 (01): : 13 - 26
[6] On the stability of artificial equilibrium points in the circular restricted three-body problem
Claudio Bombardelli
Jesus Peláez
[J]. Celestial Mechanics and Dynamical Astronomy, 2011, 109 : 13 - 26
[7] Stability of equilibrium points in the generalized perturbed restricted three-body problem
Jagadish Singh
Jessica Mrumun Begha
[J]. Astrophysics and Space Science, 2011, 331 : 511 - 519
[8] Periodic and Degenerate Orbits Around the Equilibrium Points in the Relativistic Restricted Three-Body Problem
Abd El-Salam, F. A.
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A1): : 173 - 192
[9] Periodic and Degenerate Orbits Around the Equilibrium Points in the Relativistic Restricted Three-Body Problem
F. A. Abd El-Salam
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 173 - 192
[10] Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass
Jagadish Singh
[J]. Astrophysics and Space Science, 2008, 314 : 281 - 289

← 1 2 3 4 5 →