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}
}
  • T. Kalvouridis
  • Published 1 May 2003
  • Physics, Geology
  • Astrophysics and Space Science
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. 
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References

SHOWING 1-7 OF 7 REFERENCES
Periodic Solutions in the Ring Problem
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
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.
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
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
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
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