On the perturbed photogravitational restricted five-body problem: the analysis of fractal basins of convergence

Abstract

In the framework of photogravitational version of the restricted five-body problem, the existence and stability of the in-plane equilibrium points, the possible regions for motion are explored and analysed numerically, under the combined effect of small perturbations in the Coriolis and centrifugal forces. Moreover, the multivariate version of the Newton-Raphson iterative scheme is applied in an attempt to unveil the topology of the basins of convergence linked with the libration points as function of radiation parameters, and the parameters corresponding to Coriolis and centrifugal forces.

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References in corpus (5)

• The analysis of restricted five-body problem within frame of variable mass
• On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration
• On the Newton-Raphson basins of convergence associated with the libration points in the axisymmetric five-body problem: the concave configuration
• Revealing the Newton-Raphson basins of convergence in the circular pseudo-Newtonian Sitnikov problem
• Unveiling the basins of convergence in the pseudo-Newtonian planar circular restricted four-body problem