Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem

DOI10.1142/S0218127420501552zbMath1460.70010OpenAlexW3082763244MaRDI QIDQ5120513

Euaggelos E. Zotos

Publication date: 15 September 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501552

zbMATH Keywords

chaotic dynamicsrestricted four-body problemequilibrium point

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (2)

On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure ⋮ Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem

Uses Software

• Mathematica

Cites Work

• Equilibrium points in the photogravitational restricted four-body problem
• Families of periodic orbits in the restricted four-body problem
• The existence of transversal homoclinic orbits in a planar circular restricted four-body problem
• Dynamical aspects of an equilateral restricted four-body problem
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity
• General configurations of the symmetric restricted 4-body problem
• 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
• Study on Chaotic Behavior of the Restricted Four-Body Problem with an Equilateral Triangle Configuration
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