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

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 pro...

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Bibliographic Details
Published in:Nonlinear dynamics Vol. 107; no. 1; pp. 433 - 456
Main Authors: Alrebdi, H. I., Dubeibe, Fredy L., Papadakis, Konstantinos E., Zotos, Euaggelos E.
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.01.2022
Springer Nature B.V
Subjects:
Approximation
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Dynamical Systems
Engineering
Equilibrium
Lagrangian equilibrium points
Libration
Mechanical Engineering
Numerical analysis
Numerical methods
Orbits
Original Paper
Physics
Saddles
Three body problem
Vibration
Equilibrium points
Linear stability
Black hole potentials
Periodic solutions
ISSN:0924-090X, 1573-269X
Online Access:Get full text
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Summary: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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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-07021-x