Basins of Convergence in the Circular Sitnikov Four-Body Problem with Nonspherical Primaries

DOI10.1142/S0218127418300161zbMath1390.70027arXiv1806.11409OpenAlexW3099198982MaRDI QIDQ4566430

Sanam M.D. Suraj, Rajiv Aggarwal, Euaggelos E. Zotos, Satyendra Kumar Satya

Publication date: 15 June 2018

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

Full work available at URL: https://arxiv.org/abs/1806.11409

zbMATH Keywords

fractal basin boundariesoblateness coefficientbasins of convergenceSitnikov four-body problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10) Dynamical systems methods for problems in mechanics (70G60)

Related Items (1)

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Uses Software

• Mathematica

Cites Work

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• On Sitnikov-like motions generating new kinds of 3D periodic orbits in the R3BP with prolate primaries
• Exponential decay and scaling laws in noisy chaotic scattering
• A high order perturbation analysis of the Sitnikov problem
• Collinear equilibrium points of Hill's problem with radiation and oblateness and their fractal basins of attraction
• An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem
• A new analytic approach to the Sitnikov problem
• Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability
• Solution of the Sitnikov problem
• Periodic orbits and bifurcations in the Sitnikov four-body problem
• A global analysis of the generalized Sitnikov problem
• The stability of vertical motion in the \(N\)-body circular Sitnikov problem
• The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem
• Stability of motion in the Sitnikov 3-body problem
• EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM
• Basin topology in dissipative chaotic scattering
• Periodic orbits of the Sitnikov problem via a Poincaré map
• Symmetries and bifurcations in the Sitnikov problem

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