Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity

DOI10.1016/j.chaos.2017.05.003zbMath1373.70012arXiv1706.07044OpenAlexW2613563451MaRDI QIDQ1676809

Euaggelos E. Zotos

Publication date: 10 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07044

zbMATH Keywords

equilibrium pointsbasins of attractionfractal basinsrestricted four body-problem

Mathematics Subject Classification ID

(n)-body problems (70F10) Stability problems in rigid body dynamics (70E50)

Related Items (11)

On the spatial collinear restricted four-body problem with non-spherical primaries ⋮ The effect of radiation pressure on the basins of convergence in the restricted four-body problem ⋮ On the equilibria of the restricted four-body problem with triaxial rigid primaries - I. Oblate bodies ⋮ Unnamed Item ⋮ Investigation of the effect of albedo and oblateness on the circular restricted four variable bodies problem ⋮ Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem ⋮ A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms ⋮ On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure ⋮ The effect of perturbations on the circular restricted four-body problem with variable masses ⋮ Equilibrium Points and Basins of Convergence in the Triangular Restricted Four-Body Problem with a Radiating Body ⋮ Basins of Convergence of Equilibrium Points in the Generalized Hill Problem

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Collinear equilibrium points of Hill's problem with radiation and oblateness and their fractal basins of attraction
• Dynamical properties of the restricted four-body problem with radiation pressure
• On some new aspects of the photo-gravitational Copenhagen problem
• On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM
• Dynamical systems and stability: The improvements given by the near-resonance theorem
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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