On the equilibria of the restricted four-body problem with triaxial rigid primaries - I. Oblate bodies

Shah Muhammad, Faisal Zaid Duraihem and Euaggelos E. Zotos

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: The equilateral restricted four-body problem, with triaxial rigid oblate bodies, is investigated. Using numerical methods we examine how the linear stability and the positions of the coplanar libration points are affected by the triaxility parameters of the primaries. In each case, we perform a rigorous and systematic analysis for determining the influence of the triaxility parameters σ1 and σ2 on the dynamics of the system. Our computations suggest the strong influence of these parameters by revealing additional cases, regarding the total number of equilibria, thus improving the findings of previous related works.

Keywords: Restricted four-body problem; Equilibrium points; Basins of convergence (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308924

DOI: 10.1016/j.chaos.2020.110500

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