The effect of radiation pressure on the basins of convergence in the restricted four-body problem

Md Sanam Suraj, Rajiv Aggarwal, Md Chand Asique and Amit Mittal

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: The present problem deals with the effect of the radiation pressure on the topology of the basins of convergence in the restricted problem of four bodies in two different configurations: (I) the equilateral four-body configuration (II) the collinear four-body problem. We have illustrated the basins of convergence linked to the in-plane as well as out-of-plane libration points by applying the Newton-Raphson multivariate iterative scheme, in both the configurations. Additionally, the basin entropy is illustrated to estimate the degree of fractality of the basins of convergence.

Keywords: Restricted four-body problem; Collinear four-body problem; Radiation pressure; Libration points; Basins of convergence (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307426

DOI: 10.1016/j.chaos.2020.110347

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