New Periodic Orbits for the n-Body Problem

@article{Moore2005NewPO,
  title={New Periodic Orbits for the n-Body Problem},
  author={C. Moore and M. Nauenberg},
  journal={Journal of Computational and Nonlinear Dynamics},
  year={2005},
  volume={1},
  pages={307-311}
}
  • C. Moore, M. Nauenberg
  • Published 2005
  • Mathematics, Physics
  • Journal of Computational and Nonlinear Dynamics
Since the discovery of the figure-8 orbit for the three-body problem [Moore 1993] a large number of periodic orbits of the n-body problem with equal masses and beautiful symmetries have been discovered. However, most of those that have appeared in the literature are either planar or are obtained from perturbations of planar orbits. Here we exhibit a number of new three-dimensional periodic n-body orbits with equal masses and cubic symmetry, including some whose moment of inertia tensor is a… Expand
17 Citations

Figures and Tables from this paper

On the stability of periodic N-body motions with the symmetry of Platonic polyhedra
  • 3
  • Highly Influenced
  • PDF
Gravitational wave forms for two- and three-body gravitating systems.
  • 13
  • PDF
Intermediate Dynamics for Engineers: A Unified Treatment of Newton-Euler and Lagrangian Mechanics
  • 48
  • Highly Influenced
  • PDF
Platonic polyhedra, topological constraints and periodic solutions of the classical N-body problem
  • 38
  • Highly Influenced
  • PDF
...
1
2
...

References

SHOWING 1-10 OF 22 REFERENCES
A family of periodic solutions of the planar three-body problem, and their stability
  • 80
  • Highly Influential
Periodic orbits for three particles with finite angular momentum
  • 21
  • PDF
Continuity and stability of families of figure eight orbits with finite angular momentum
  • 6
  • PDF
New Families of Solutions in N -Body Problems
  • 118
  • PDF
On the existence of collisionless equivariant minimizers for the classical n-body problem
  • 186
  • PDF
On Bounded Solutions of the n-Body Problem
  • 29
...
1
2
3
...