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Investigating the impact of non-spherical bodies and three-body interactions on equilibrium dynamics in the circular restricted three-body problem

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  • Moneer, Eman M.
  • Elaissi, Samira
  • Dubeibe, Fredy L.
  • Zotos, Euaggelos E.

Abstract

In this paper, we study a modified version of the classical restricted 3-body problem, which introduces an additional mutual interaction force. Moreover, we extend our analysis to include non-spherical shapes, specifically prolate or oblate shapes, for the primary bodies within the system. Our main objective is to investigate how the additional interaction and non-sphericity of the primaries influence the locations and dynamical characteristics of the equilibrium points in the system. To accomplish this, we employ standard numerical methods and techniques. Through a meticulous examination of the system’s parameter space, we have identified a range of 1 to 13 libration points. We have observed that the total number of equilibrium points is directly related to the sign and intensity of the three-body interaction term. Consequently, our findings reveal a substantial difference when compared to scenarios where only three-body interactions or the non-sphericity of the primaries are considered independently.

Suggested Citation

  • Moneer, Eman M. & Elaissi, Samira & Dubeibe, Fredy L. & Zotos, Euaggelos E., 2023. "Investigating the impact of non-spherical bodies and three-body interactions on equilibrium dynamics in the circular restricted three-body problem," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010111
    DOI: 10.1016/j.chaos.2023.114110
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    References listed on IDEAS

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    1. Suraj, Md Sanam & Aggarwal, Rajiv & Mittal, Amit & Meena, Om Prakash & Asique, Md Chand, 2020. "On the spatial collinear restricted four-body problem with non-spherical primaries," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. 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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