Basins of attraction of equilibrium points in the planar circular restricted five-body problem

EE Zotos, M Sanam Suraj - Astrophysics and Space Science, 2018 - Springer
We numerically explore the Newton-Raphson basins of convergence, related to the libration
points (which act as attractors), in the planar circular restricted five-body problem (CR5BP) …

New central configurations for the planar 5-body problem

J Llibre, LF Mello - Celestial Mechanics and Dynamical Astronomy, 2008 - Springer
New central configurations for the planar 5-body problem Page 1 Celestial Mech Dyn Astr (2008)
100:141–149 DOI 10.1007/s10569-007-9107-4 ORIGINAL ARTICLE New central …

On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration

MS Suraj, P Sachan, EE Zotos, A Mittal… - International Journal of …, 2019 - Elsevier
In the present work, the Newton–Raphson basins of convergence, corresponding to the
coplanar libration points (which act as numerical attractors), are unveiled in the axisymmetric …

Central configurations of the five-body problem with equal masses

TL Lee, M Santoprete - Celestial Mechanics and Dynamical Astronomy, 2009 - Springer
In this paper we present a complete classification of the isolated central configurations of the
five-body problem with equal masses. This is accomplished by using the polyhedral …

Symmetric planar central configurations of five bodies: Euler plus two

M Gidea, J Llibre - Celestial Mechanics and Dynamical Astronomy, 2010 - Springer
We study planar central configurations of the five-body problem where three of the bodies
are collinear, forming an Euler central configuration of the three-body problem, and the two …

Existence of symmetric central configurations

J Montaldi - Celestial Mechanics and Dynamical Astronomy, 2015 - Springer
Central configurations have been of great interest over many years, with the earliest
examples due to Euler and Lagrange. There are numerous results in the literature …

On the symmetric central configurations for the planar 1+ 5-body problem with small arbitrary masses

X Su, C Deng - Celestial Mechanics and Dynamical Astronomy, 2022 - Springer
Abstract For the 1+ 5-body problem, we study the relationship between the masses of 5
satellites and given symmetric configurations, where the symmetry axis contains one …

[HTML][HTML] Stacked central configurations for the spatial six-body problem

LF Mello, FE Chaves, AC Fernandes… - Journal of Geometry and …, 2009 - Elsevier
In this paper we show the existence of three new families of stacked spatial central
configurations for the six-body problem with the following properties: four bodies are at the …

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 Six‐Body Problem with Stable Equilibrium Points and a Rhomboidal Configuration

MAR Siddique, AR Kashif - Advances in Astronomy, 2022 - Wiley Online Library
We explore the central configuration of the rhomboidal restricted six‐body problem in
Newtonian gravity, which has four primaries mi (where i= 1,… 4) at the vertices of the …