Fractal basins of convergence in the restricted rhomboidal six-body problem

MS Suraj, S Alhowaity, R Aggarwal - New Astronomy, 2022 - Elsevier
In the present study, we numerically examined the basins of convergence (BoCs) by
deploying the well known Newton–Raphson (NR) iterative scheme, associated to the …

On the rhomboidal restricted five-body problem: Analysis of the basins of convergence

MS Suraj, S Alhowaity, R Aggarwal, MC Asique… - New Astronomy, 2022 - Elsevier
This manuscript aims to investigate numerically the effect of parameter λ on the basins of
convergence (BoCs) associated with the equilibrium points (EPs) of the restricted …

Stability Analysis of the Rhomboidal Restricted Six‐Body Problem

MAR Siddique, AR Kashif, M Shoaib… - Advances in …, 2021 - Wiley Online Library
We discuss the restricted rhomboidal six-body problem (RR6BP), which has four positive
masses at the vertices of the rhombus, and the fifth mass is at the intersection of the two …

[HTML][HTML] Periodic and Quasi-Periodic Orbits in the Collinear Four-Body Problem: A Variational Analysis

A Mansur, M Shoaib, I Szücs-Csillik, D Offin, J Brimberg… - Mathematics, 2024 - mdpi.com
This paper investigated the periodic and quasi-periodic orbits in the symmetric collinear four-
body problem through a variational approach. We analyze the conditions under which …

Central configurations in the five-body problem: rhombus plus one

JL Cornelio, M Alvarez-Ramírez, JM Cors - Qualitative theory of dynamical …, 2021 - Springer
We show the existence of central configurations in the planar five-body problem where four
bodies are located at the vertices of a rhombus, called rhombus plus one central …

The restricted five-body problem with cyclic kite configuration

AA Ansari, ZA Alhussain - Journal of Dynamical Systems and …, 2019 - Taylor & Francis
This manuscript investigates the five-body problem with kite configuration where four bodies
are placed at the vertices of a kite. All the vertices of kite are taken at the circumference of a …

Cyclic kite configuration with variable mass of the fifth body in R5BP

AA Ansari, A Ali, M Alam… - Applications and …, 2019 - digitalcommons.pvamu.edu
This paper presents a numerical investigation on some characteristics and parameters
related to the motion of an infinitesimal body with variable mass in five-body problem. The …

On the equilateral pentagonal central configurations

M Alvarez-Ramírez, A Gasull, J Llibre - Communications in Nonlinear …, 2022 - Elsevier
An equilateral pentagon is a polygon in the plane with five sides of equal length. In this
paper we classify the central configurations of the 5-body problem having the five bodies at …

Motion properties of the variable mass smallest body in cyclic kite configuration with kerr-like oblate heterogeneous primaries

AA Ansari, A Jain, SK Sahdev - Gulf Journal of Mathematics, 2024 - gjom.org
The aim of this paper is to motion of the smallest body in the 5-body problem where 4 bodies
construct the cyclic kite configuration. Out of five bodies four bodies are placed at the …

[PDF][PDF] Central configurations of the circular restricted 4-body problem with three equal primaries in the collinear central configuration of the-3 body problem

J Llibre - Trends in Computer Science and Information …, 2021 - pdfs.semanticscholar.org
Central configurations of the circular restricted 4-body problem with three equal primaries in the
collinear central configurati Page 1 001 Citation: Llibre J (2021) Central configurations of the …