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

2019/05/20 by Md Sanam Suraj, Rajiv Aggarwal, Suraj, Md Sanam +7
Engineering · Physics and Astronomy · #Astro and Planetary Science #Astrophysics and Star Formation Studies #Chaotic Dynamics (nlin.CD) #Cosmology and Gravitation Theories #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Spacecraft Dynamics and Control #Stellar, planetary, and galactic studies #astro-ph.EP #nlin.CD

paper · pdf · doi:10.48550/arxiv.1905.08298

12 Figure

arxiv created 2019/05/20 · openalex publication_date 2019/05/20 · arxiv updated 2019/05/22 · openalex created_date 2022/07/13 · openalex updated_date 2026/07/28

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.

Citations

• A Planar Case of the n + 1 Body Problem: the 'Ring’ Problem

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