EQUILIBRIUM POINTS IN THE CR3BP OF THREE OBLATE BODIES UNDER THE EFFECTS OF CIRCUMBINARY DISC AND RADIATING PRIMARIES WITH POYNTING-ROBERTSON DRAG

Authors

  • Udeme Monday Udo
    Department of Mathematics, School of Basic Sciences, Nigeria Maritime University, Okerenkoko, Delta State, Nigeria
  • Aguda Ekele Vincent
  • Joel John Taura
    Federal University of Kashere, Gombe State
  • Tajudeen Oluwafemi Amuda
    Department of Mathematics, Faculty of Sciences, Air Force Institute of Technology, Kaduna, Kaduna State, Nigeria

Keywords:

CR3BP, Radiation pressure, P-R drag, Oblateness, Equilibrium points, Stability

Abstract

We study numerically the generalized planar photogravitational circular restricted three-body problem, where an infinitesimal body is moving under the Newtonian gravitational attraction of two bodies which are finite, moving in circles around their center of mass fixed at the origin of the coordinate system, where both bodies are situated on the horizontal -axis. The third body  is significantly smaller compared to the masses of the two bodies (primaries) where its influence on them can be neglected. The three participating bodies are modeled as oblate spheroids, under effect of radiation of the two main masses together with effective Poynting-Robertson drag and both of them are enclosed by a belt of homogeneous circular cluster of material points.  In this paper, the existence and location of the equilibrium points and their linear stability are explored for various combinations of the model’s parameters. We observe that under constant P–R drag effect, collinear equilibrium solutions cease to exist but there are in the absence of the drag forces. We found that five or seven non-collinear equilibrium points may lie on the plane of primaries motion depends on the particular values of model’s parameters, and it is seen that the perturbing forces have significant effects on their positions and linear stability. In our model, the binary system Kruger 60 is used, and it is found that the positions of the equilibria and their stability are affected by these perturbing forces. In the case where seven critical points exist, all the equilibria are...

Dimensions

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Published

28-10-2023

How to Cite

EQUILIBRIUM POINTS IN THE CR3BP OF THREE OBLATE BODIES UNDER THE EFFECTS OF CIRCUMBINARY DISC AND RADIATING PRIMARIES WITH POYNTING-ROBERTSON DRAG. (2023). FUDMA JOURNAL OF SCIENCES, 7(5), 54-63. https://doi.org/10.33003/fjs-2023-0705-1937

Issue

Vol. 7 No. 5 (2023): FUDMA Journal of Sciences - Vol. 7 No. 5

Section

Research Articles
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How to Cite

EQUILIBRIUM POINTS IN THE CR3BP OF THREE OBLATE BODIES UNDER THE EFFECTS OF CIRCUMBINARY DISC AND RADIATING PRIMARIES WITH POYNTING-ROBERTSON DRAG. (2023). FUDMA JOURNAL OF SCIENCES, 7(5), 54-63. https://doi.org/10.33003/fjs-2023-0705-1937

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