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

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  • Muhammad, Shah
  • Duraihem, Faisal Zaid
  • Zotos, Euaggelos E.

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.

Suggested Citation

  • Muhammad, Shah & Duraihem, Faisal Zaid & Zotos, Euaggelos E., 2021. "On the equilibria of the restricted four-body problem with triaxial rigid primaries - I. Oblate bodies," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308924
    DOI: 10.1016/j.chaos.2020.110500
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    References listed on IDEAS

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    1. Zotos, Euaggelos E., 2017. "Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 8-19.
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    Cited by:

    1. Moneer, Eman M. & Allawi, Yazan & Elaissi, Samira & Dubeibe, Fredy L. & Zotos, Euaggelos E., 2023. "Equilibrium stability in the triangular restricted four-body problem with non-spherical primaries," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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