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

被引：0
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作者：
H. I. Alrebdi
Fredy L. Dubeibe
Konstantinos E. Papadakis
Euaggelos E. Zotos
机构：
[1] Princess Nourah bint Abdulrahman University,Department of Physics, College of Science
[2] Universidad de los Llanos,Facultad de Ciencias Humanas y de la Educación
[3] University of Patras,Department of Civil Engineering, Division of Structural Engineering
[4] Aristotle University of Thessaloniki,Department of Physics, School of Science
来源：
Nonlinear Dynamics | 2022年 / 107卷
关键词：
Black hole potentials; Equilibrium points; Linear stability; Periodic solutions;
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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.
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页码：433 / 456
页数：23
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