Analysis of the geometry of the zero-velocity curves in the N-body ring problem depending on the mass ratio parameter
Z Boureghda, MC Martínez-Belda… - The European Physical …, 2024 - epjplus.epj.org
The purpose of the present study is the investigation of the effect of the mass ratio
parameter, β, on the geometry of the zero-velocity curves, when there are N= 3, 4,…, 100 …
parameter, β, on the geometry of the zero-velocity curves, when there are N= 3, 4,…, 100 …
Analysis of the distribution of times of escape in the N-body ring problem
This paper summarizes the results of a numerical investigation of the phenomenon of
escape in the N-body ring problem. There is a value of the Jacobi constant of the system …
escape in the N-body ring problem. There is a value of the Jacobi constant of the system …
Numerical integration of the N-body ring problem by recurrent power series
JF Navarro - Celestial Mechanics and Dynamical Astronomy, 2018 - Springer
The aim of this article is to present a method for the integration of the equations of motion of
the N-body ring problem by means of recurrent power series. We prove that the solution is …
the N-body ring problem by means of recurrent power series. We prove that the solution is …
Esca** orbits in the N‐body ring problem
The aim of this paper is to start a numerical exploration of the escape in the N‐body ring
problem. When the energy of the orbits is larger than the escape energy, test particles may …
problem. When the energy of the orbits is larger than the escape energy, test particles may …
On the analysis of the fractal basins of escape in the N‐body ring problem
This article summarizes the results of a numerical investigation of the phenomenon of
escape in the N‐body ring configuration, focusing on the scenarios that result for N= 5, 6, 7 …
escape in the N‐body ring configuration, focusing on the scenarios that result for N= 5, 6, 7 …
On the Vertical Libration of Maxwell's Ring Configuration with a Manev Potential
X Xu - Journal of Nonlinear Mathematical Physics, 2024 - Springer
We discuss Maxwell's ring model with a quasi-homogeneous potential of the dominant
mass, and specially study the vertical libration of Maxwell's ring configuration with a Manev …
mass, and specially study the vertical libration of Maxwell's ring configuration with a Manev …
On the use of surfaces of section in the N‐body ring problem
In the N‐body ring problem, we investigate the motion of a massless body interacting with N
bodies of equal masses at the vertices of a regular polygon that rotates around a central …
bodies of equal masses at the vertices of a regular polygon that rotates around a central …
A Limit Case of the “Ring Problem”: The Planar Circular Restricted Body Problem
We study the dynamics of an extremely idealized model of a planetary ring. In particular, we
study the motion of an infinitesimal particle moving under the gravitational influence of a …
study the motion of an infinitesimal particle moving under the gravitational influence of a …
[引用][C] A Limiting Case of the “Ring Problem”: The Planar Circular Restricted 1+ n Body Problem
E Barrabés, JM Cors, GR Hall