Photogravitational magnetic-binary problem with oblateness and belt of material points

Arif, Mohd; Ullah, Mukhtar; Kant, Laxmi

doi:10.1016/j.newast.2022.101877

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…Let F be the potential due to oblateness, then; Comparing Eqs. (19) and (20) and then integrating with respect to r 1 and r 2 we have Therefore, the force function due to the combined effects of oblateness and radiation on both primaries becomes;…”

Section: Force Due To Oblatenessmentioning

confidence: 99%

Combined effect of Poynting-Robertson (P-R) drag, oblateness and radiation on the triangular points in the elliptic restricted three-body problem

Singh,

Ashagwu

2024

Sci Rep

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This study investigates the motion of a test particle around triangular equilibrium points in the elliptic restricted three-body problem (ER3BP) under the influence of the two oblate and radiating primaries having Poynting-Robertson (P-R) drag. It is observed that the position of triangular points of the problem is affected by oblateness, radiation pressure, eccentricity, semi-major axis and Poynting-Robertson (P-R) drag. The stability of these points is demonstrated analytically by the Routh-Hurwitz criterion. It is seen that they are unstable under the combined effect of involved parameters. The effect of these parameters on the position of triangular points is examined numerically using the binary systems, 61 Cygni and Archird. The results obtained by these binary systems can be used to broaden the scope of interest in astronomy, astrophysics, space science and celestial mechanics in general.

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Section: Force Due To Oblatenessmentioning

confidence: 99%

Combined effect of Poynting-Robertson (P-R) drag, oblateness and radiation on the triangular points in the elliptic restricted three-body problem

Singh,

Ashagwu

2024

Sci Rep

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“…Arif (2015) studied the stability of equilibrium points in the photogravitational MBP when a giant primary is a radiation source. Arif et al (2022) studied the motion of a charged particle in the framework of MBP where the bigger primary is the source of radiation and the smaller primary is the oblate body; and they are enclosed by a homogeneous circular truss of material points centered at the center of mass of the system. We can analyze various aspects of dynamical system with the help of Newton-Raphson (N-R) basins of attraction.…”

Section: Introductionmentioning

confidence: 99%

Basins of attraction in the photogravitational magnetic-binary problem with oblateness and dissipations

Kant

Kumar

2023

Preprint

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This article investigates the dynamical effect of the dissipation forces, namely the Poynting-Robertson (PR) drag and nebular gas (Stokes) drag on the photogravitational magnetic-binary problem (PMBP) where the smaller primary is an oblate body and the bigger primary is the source of radiation. We have settled the equations of motion. The parametric evolution of the position and existence of equilibrium points and their linear stability are presented. Further, Newton-Raphson (N-R) basins of attraction have been plotted with the effect of Poynting-Robertson (PR) drag and nebular gas (Stokes) drag by Mathematica Software. Numerical results indicate that the ratio of magnetic moment λ has a significant impact on the location, stability of the equilibrium points, and the Newton-Raphson (N-R) basins of attraction of the problem. It is observed that there exist either nine or eleven equilibrium points for different values of mass parameter µ and the ratio of magnetic moment λ. Further, we observed that all equilibrium points are unstable in the Lyapunov sense. It is identified that in every case, the basins of convergence corresponding to the collinear equilibrium points L1 and L3 have infinite extents. Our numerical study suggests that the progression of the attracting domains in this dynamical system is very complicated. It is found that spacecraft is drifted from equilibrium points as a function of time due to instability of equilibrium points and drift is most for L7 point.

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Basins of Attraction in the Photogravitational Magnetic-Binary Problem with Oblateness and Dissipations

Arif,

Kant,

Kumar

2024

Springer Proceedings in Physics

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Photogravitational magnetic-binary problem with oblateness and belt of material points

Cited by 4 publications

References 22 publications

Combined effect of Poynting-Robertson (P-R) drag, oblateness and radiation on the triangular points in the elliptic restricted three-body problem

Combined effect of Poynting-Robertson (P-R) drag, oblateness and radiation on the triangular points in the elliptic restricted three-body problem

Basins of attraction in the photogravitational magnetic-binary problem with oblateness and dissipations

Basins of Attraction in the Photogravitational Magnetic-Binary Problem with Oblateness and Dissipations

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