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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Notes
The term fractal simply unveils the fact that the specific area has a fractal-like geometry, without conducting extra calculations, as in Aguirre et al. (2001).
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Suraj, M.S., Aggarwal, R., Mittal, A. et al. On the perturbed photogravitational restricted five-body problem: the analysis of fractal basins of convergence. Astrophys Space Sci 364, 87 (2019). https://doi.org/10.1007/s10509-019-3575-3
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DOI: https://doi.org/10.1007/s10509-019-3575-3