On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

DOI10.4208/aamm.OA-2020-0264zbMath1488.70014OpenAlexW3153428727MaRDI QIDQ5157074

Wei Chen, Shah Muhammad, Faisal Z. Duraihem, Euaggelos E. Zotos

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2020-0264

zbMATH Keywords

equilibrium pointsrestricted four-body problembasins of convergence

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Uses Software

• Mathematica

Cites Work

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• Equilibrium points in the photogravitational restricted four-body problem
• Families of periodic orbits in the restricted four-body problem
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• Periodic orbits and bifurcations in the Sitnikov four-body problem
• Stability of Trojan planets in multi-planetary systems
• Periodic orbits in the restricted four-body problem with two equal masses
• On the central configurations of the planar restricted four-body problem
• ON PRACTICAL STABILITY REGIONS FOR THE MOTION OF A SMALL PARTICLE CLOSE TO THE EQUILATERAL POINTS OF THE REAL EARTH-MOON SYSTEM
• EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM
• The restricted planetary 4-body problem
• Relative equilibrium solutions in the four body problem
• The restricted 3-body problem with radiation pressure
• Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem
• Study on Chaotic Behavior of the Restricted Four-Body Problem with an Equilateral Triangle Configuration

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