Equilibrium points and their stability in a new generalized planar version of the collinear restricted four-body problem

被引：4

作者：

Alrebdi, H. I. ^{[1
]}

Dubeibe, Fredy L. ^{[2
]}

Zotos, Euaggelos E. ^{[3
]}

机构：

[1] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Phys, POB 84428, Riyadh 11671, Saudi Arabia

[2] Univ Llanos, Fac Ciencias Humanas & Educ, Villavicencio, Colombia

[3] Aristotle Univ Thessaloniki, Sch Sci, Dept Phys, GR-54124 Thessaloniki, Greece

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 120卷

关键词：

Four-body problem; Equilibrium dynamics; Linear stability; ORBITS;

D O I：

10.1016/j.cnsns.2023.107196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new generalized planar version of the collinear restricted four-body problem. In this version, all three main bodies are located on the horizontal x-axis, while they have unequal masses. The dynamical system contains two free parameters related to the masses and positions of the main bodies. We investigate the equilibrium dynamics of the system by determining how these two free parameters affect the dynamical properties of the equilibria, such as their position and linear stability. By deploying some standard numerical methods combined with rigorous and systematic analysis, we studied the equilibrium dynamics of the system and revealed its properties regarding the nature of the libration points and the connections with the parameters of the system.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：15

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