n-body choreography

From Wikipedia, the free encyclopedia
Jump to: navigation, search

An n-body choreography is a periodic solution to the n-body problem in which all the bodies are equally spread out along a single orbit.[1] The term was originated in 2000 by Chenciner and Montgomery.[1][2][3]

n-body choreographies can be discovered using variational methods[1] , and more recently, topological approaches have been used to attempt a classification in the planar case.[4]

References[edit]

  1. ^ a b c Vanderbei, Robert J. (2004). "New Orbits for the n-Body Problem". Annals of the New York Academy of Sciences 1017: 422–433. arXiv:astro-ph/0303153. Bibcode:2004NYASA1017..422V. doi:10.1196/annals.1311.024. PMID 15220160.  edit
  2. ^ Simó, C. [2000], New families of Solutions in N-Body Problems, Proceedings of the ECM 2000, Barcelona (July, 10-14).
  3. ^ "A remarkable periodic solution of the three-body problem in the case of equal masses". The original article by Alain Chenciner and Richard Montgomery. Annals of Mathematics, 152 (2000), 881–901.
  4. ^ Montaldi, James. "Classification of symmetry groups for planar n-body choreographies". arxiv.org. 

External links[edit]