The analysis of restricted five-body problem within frame of variable mass

Abstract

In the framework of restricted five bodies problem, the existence and stability of the libration points are explored and analysed numerically, under the effect of non--isotropic mass variation of the fifth body (test particle or infinitesimal body). The evolution of the positions of these points and the possible regions of motion are illustrated, as a function of the perturbation parameter. We perform a systematic investigation in an attempt to understand how the perturbation parameter due to variable mass of the fifth body, affects the positions, movement and stability of the libration points. In addition, we have revealed how the domain of the basins of convergence associated with the libration points are substantially influenced by the perturbation parameter.

References in corpus (2)

• Revealing the Newton-Raphson basins of convergence in the circular pseudo-Newtonian Sitnikov problem
• Unveiling the basins of convergence in the pseudo-Newtonian planar circular restricted four-body problem

Cited by in corpus (4)

• On the Newton-Raphson basins of convergence associated with the libration points in the axisymmetric five-body problem: the concave configuration
• 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