Equilibrium dynamics of a circular restricted three-body problem with Kerr-like primaries

被引：12

作者：

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

Dubeibe, Fredy L. ^{[2
]}

Papadakis, Konstantinos E. ^{[3
]}

Zotos, Euaggelos E. ^{[4
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Phys, Riyadh, Saudi Arabia

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

[3] Univ Patras, Dept Civil Engn, Div Struct Engn, Patras 26504, Greece

[4] Aristotle Univ Thessaloniki, Sch Sci, Dept Phys, Thessaloniki 54124, Greece

来源：

NONLINEAR DYNAMICS | 2022年 / 107卷 / 01期

关键词：

Black hole potentials; Equilibrium points; Linear stability; Periodic solutions; PERIODIC-ORBITS; EXPLORATION NUMERIQUE; RESTREINT; I;

D O I：

10.1007/s11071-021-07021-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A pseudo-Newtonian planar circular restricted three-body problem with two Kerr-like primaries is considered. Using numerical methods, we explore the dynamical properties of the points of equilibrium of the system. In particular, we demonstrate how the two main parameters of the system affect the properties (position and type) of the libration points. For all the equilibria, we present their nature by classifying them not only as linearly stable and unstable but also as maxima, index-1, and index-2 saddles. We also reveal the networks of simple symmetric periodic orbits and their linear stability.

引用

页码：433 / 456

页数：24

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