Out-of-plane equilibrium points in the photogravitational restricted four-body problem

Singh, Jagadish; Vincent, Aguda Ekele

doi:10.1007/s10509-015-2487-0

Cited by 26 publications

(13 citation statements)

References 15 publications

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“…Later, Routh [19] studied the linear stability of the same solutions in the case of homogeneous potentials. Recently, Papadouris and Papadakis [17] produced the necessary condition for the stability of the Lagrange central configuration in the photogravitational R4BP based on the ideas of Santroprete [20] and Moeckel [21].…”

Section: Linear Stability Of the Lagrange Configurationmentioning

confidence: 99%

Combined Effects of Radiation and Oblateness on the Existence and Stability of Equilibrium Points in the Perturbed Restricted Four-Body Problem

Singh

2017

J Astrophys Aerospace Technol

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Section: Linear Stability Of the Lagrange Configurationmentioning

confidence: 99%

Combined Effects of Radiation and Oblateness on the Existence and Stability of Equilibrium Points in the Perturbed Restricted Four-Body Problem

Singh

2017

J Astrophys Aerospace Technol

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“…(2006 , 2007 ); Arribas et al., 2016 ; Barrabes et al., 2017 . The equilateral triangle configuration which is studied by Baltagiannis and Papadakis (2011) , Papadouris and Papadakis (2013) , Singh and Vincent (2015) , and Singh and Omale (2019) . In examining of Photogravitational R4BP with Stokes drag by Vincent et al.…”

Section: Introductionmentioning

confidence: 99%

Equilibria, stability and chaos in photogravitational Bi-Circular restricted four-body problem

Singh

Omale

2021

Heliyon

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“…In the Lagrangian configuration, the primaries lie at the vertices of an equilateral triangle while in the Eulerian configuration, the primaries lie on the same axes. In recent times, the restricted four‐body problem has been studied by many scientists under various perturbations (Alvarez‐Ramírez et al ; Arribas et al ; Asique et al, , ; Baltagiannis & Papadakis ; Mittal et al ; Singh & Vincent ; Suraj & Hassan ). The restricted problem of three bodies with the effect of small perturbations of the Coriolis and centrifugal forces has been studied by many scientists.…”

Section: Introductionmentioning

confidence: 99%

Divulging the effect of small perturbations in the Coriolis and centrifugal forces in the photogravitational version of autonomous restricted four‐body problem with oblate primary

et al. 2019

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In the present problem, we have studied the effect of small perturbations in the Coriolis and centrifugal forces on the locations and stability of libration points by taking the smaller primary as radiating oblate spheroid in the restricted four‐body problem. We have supposed that all the primaries are set in an equilateral triangle configuration, moving in circular orbit around their common center of mass. We have observed that the oblateness and radiation of the third primary, and the effect of the small perturbation in centrifugal force have substantial influences on the locations of libration points but the effect of the small perturbation in the Coriolis force has no impact on their locations. However, the stability of the libration points is highly influenced by the effect of the small perturbation in the Coriolis force. Furthermore, it is obtained that the effect of the small perturbation in the centrifugal force has a substantial influence on the regions of possible motion. In addition, we have also discussed how the oblateness and radiation pressure of the third primary, and the small perturbations in the Coriolis and centrifugal forces influence geometry of the basins of convergence by using multivariate version of the Newton–Raphson iterative scheme.

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Out-of-plane equilibrium points in the photogravitational restricted four-body problem

Cited by 26 publications

References 15 publications

Combined Effects of Radiation and Oblateness on the Existence and Stability of Equilibrium Points in the Perturbed Restricted Four-Body Problem

Combined Effects of Radiation and Oblateness on the Existence and Stability of Equilibrium Points in the Perturbed Restricted Four-Body Problem

Equilibria, stability and chaos in photogravitational Bi-Circular restricted four-body problem

Divulging the effect of small perturbations in the Coriolis and centrifugal forces in the photogravitational version of autonomous restricted four‐body problem with oblate primary

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