English

The perturbed restricted three-body problem with angular velocity: Analysis of basins of convergence linked to the libration points

Chaotic Dynamics 2020-05-22 v1 Earth and Planetary Astrophysics

Abstract

The analysis of the affect of angular velocity on the geometry of the basins of convergence (BoC) linked to the equilibrium points in the restricted three-body problem is illustrated when the primaries are source of radiation. The bivariate scheme of the Newton-Raphson (N-R) iterative method has been used to discuss the topology of the basins of convergence. The parametric evolution of the fractality of the convergence plane is also presented where the degree of fractality is illustrated by evaluating the basin entropy of the convergence plane.

Keywords

Cite

@article{arxiv.2005.10715,
  title  = {The perturbed restricted three-body problem with angular velocity: Analysis of basins of convergence linked to the libration points},
  author = {Md Sanam Suraj and Rajiv Aggarwal and Amit Mittal and Md Chand Asique},
  journal= {arXiv preprint arXiv:2005.10715},
  year   = {2020}
}