On the Newton-Raphson basins of convergence associated with the libration points in the axisymmetric five-body problem: the concave configuration
arXiv:1904.04618 · doi:10.1016/j.ijnonlinmec.2019.02.013
Abstract
The axisymmetric five-body problem with the concave configuration has been studied numerically to reveal the basins of convergence, by exploring the Newton-Raphson iterative scheme, corresponding to the coplanar libration points (which act as attractors). In addition, four primaries are set in axisymmetric central configurations introduced by Érdi and Czirják and the motion is governed by mutual gravitational attraction only. The evolution of the positions of libration points is illustrated, as a function of the value of angle parameters. A systematic and rigorous investigation is performed in an effort to unveil how the angle parameters affect the topology of the basins of convergence. In addition, the relation of the domain of basins of convergence with required number of iterations and the corresponding probability distributions are illustrated.
Published in International Journal of Non-Linear Mechanics (IJNLM)
References in corpus (8)
- Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure
- Revealing the basins of convergence in the planar equilateral restricted four-body problem
- The analysis of restricted five-body problem within frame of variable mass
- Comparing the fractal basins of attraction in the Hill problem with oblateness and radiation
- Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity
- On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration
- Unveiling the basins of convergence in the pseudo-Newtonian planar circular restricted four-body problem
- Slow-roll inflation from massive vector fields non-minimally coupled to gravity
Cited by in corpus (3)
- Unpredictable basin boundaries in restricted six-body problem with square configuration
- The perturbed restricted three-body problem with angular velocity: Analysis of basins of convergence linked to the libration points
- On the perturbed photogravitational restricted five-body problem: the analysis of fractal basins of convergence