IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v141y2020ics0960077920307426.html
   My bibliography  Save this article

The effect of radiation pressure on the basins of convergence in the restricted four-body problem

Author

Listed:
  • Suraj, Md Sanam
  • Aggarwal, Rajiv
  • Asique, Md Chand
  • Mittal, Amit

Abstract

The present problem deals with the effect of the radiation pressure on the topology of the basins of convergence in the restricted problem of four bodies in two different configurations: (I) the equilateral four-body configuration (II) the collinear four-body problem. We have illustrated the basins of convergence linked to the in-plane as well as out-of-plane libration points by applying the Newton-Raphson multivariate iterative scheme, in both the configurations. Additionally, the basin entropy is illustrated to estimate the degree of fractality of the basins of convergence.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307426
    DOI: 10.1016/j.chaos.2020.110347
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920307426
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110347?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 & Mittal, Amit & Kaur, Charanpreet & Aggarwal, Rajiv, 2018. "On the existence of libration points in the spatial collinear restricted four-body problem within frame of repulsive Manev potential and variable mass," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 94-104.
    2. 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.
    3. 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).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).

    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. 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).
    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).
    4. 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).
    5. 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).

    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:141:y:2020:i:c:s0960077920307426. 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.