# Retrograde Orbits in Ring Configurations of N Bodies

@article{Kalvouridis2003RetrogradeOI, title={Retrograde Orbits in Ring Configurations of N Bodies}, author={T. J. Kalvouridis}, journal={Astrophysics and Space Science}, year={2003}, volume={284}, pages={1013-1033} }

New families of simple, double and triple periodic symmetric retrograde orbits in various ring configurations are presented in this paper, providing new information on the dynamic behavior of such many-body systems. The evolution of the characteristic curves and of their orbits-members is discussed as well as their most prominent qualitative aspects.

## 11 Citations

Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies

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Abstract
We study the simple periodic orbits of a particle that is subject to the gravitational action of the much bigger primary bodies which form a regular polygonal configuration of (ν+1) bodies…

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Particle motions in Maxwell’s ring dynamical systems

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The study of a dynamical system comprises a variety of processes, each one of which requires careful analysis. A fundamental preliminary step is to detect and limit the regions where solutions may…

Radiation Effect on a Particle’s Periodic Orbits in a Regular Polygon Configuration of N Bodies

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- 2008

The photo-gravitational problems of two or more bodies have attracted much attention during the last decades. In this paper, radiation is considered as an additional factor influencing the particle…

Linear stability of ring systems with generalized central forces

- Mathematics
- 2008

We analyze the linear stability of a system of n equal mass points uniformly distributed on a circle and moving about a single massive body placed at its center. We assume that the central body makes…

The Ring Problem of (N+ 1) Bodies: An Overview

- Physics
- 2012

The study of N-body systems and their simulation with various models always excited the scientific interest. Here we present an N-body model that has been under investigation in the last 10 years and…

## References

SHOWING 1-7 OF 7 REFERENCES

Periodic Solutions in the Ring Problem

- Mathematics, Physics
- 1999

In this article we investigate the symmetric periodic motions of a particle of negligible mass in a coplanar N-body system consisting of ν=N-1 peripheral equidistant bodies of equal masses and a…

The effect of radiation pressure on the particle dynamics in ring-type N-body configurations

- Physics
- 1999

The paper deals with a simple photo-gravitational model of N+1 bodies. The motion of a small particle which subjects both the gravitational attraction and the radiation pressure is studied in a…

Theory of Orbits.

- Physics, Geology
- 1967

Book on theory of orbits covering restricted problem of three bodies, two bodies in rotating coordinate system and periodic orbits

A Planar Case of the n + 1 Body Problem: the 'Ring’ Problem

- Mathematics
- 1998

Our intention in this article is to present a new model for the investigation of the motion of a particle of negligible mass in a multibody surrounding. The proposed general planar configuration…

Zero-velocity surfaces in the three-dimensional ring problem of N + 1 bodies

- Mathematics, Physics
- 2001

The zero-velocity surfaces in the three-dimensional ring problem of N + 1 bodies and their parametric evolution is the subject of this paper. These surfaces, which are also known as Hill's or…

EJECTION–COLLISION ORBITS AND INVARIANT PUNCTURED TORI IN A RESTRICTED FOUR‐BODY PROBLEM

- Physics
- 1998

We study the motion of an infinitesimal mass point under the gravitational action of three mass points of masses μ, 1–2μ and μ moving under Newton's gravitational law in circular periodic orbits…

On a Particular Restricted Five-Body Problem An Analysis with Computer Algebra

- MathematicsJ. Symb. Comput.
- 1988