IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v176y2023ics0960077923010111.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923010111
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114110?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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).
    2. Suraj, Md Sanam & Aggarwal, Rajiv & Asique, Md Chand & Mittal, Amit, 2020. "The effect of radiation pressure on the basins of convergence in the restricted four-body problem," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Meena, Poonam & Kishor, Ram, 2021. "First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010111. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.