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

## TL;DR

This paper investigates the stability and convergence properties of the photogravitational restricted five-body problem, analyzing how perturbations and radiation parameters influence equilibrium points and the basins of convergence.

## Contribution

It introduces a numerical analysis of equilibrium stability and basin topology in the perturbed photogravitational five-body problem using a multivariate Newton-Raphson scheme.

## Key findings

- Existence and stability of in-plane equilibrium points analyzed.
- Basins of convergence depend on radiation, Coriolis, and centrifugal parameters.
- Fractal structures observed in the convergence basins.

## 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.