| 词条 | N-body choreography |
| 释义 |
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] One such orbit is a circular orbit, with equal masses at the corners of an equilateral triangle; another is the figure-8 orbit, first discovered numerically in 1993 by Cristopher Moore[4] and subsequently proved to exist by Chenciner and Montgomery. Choreographies can be discovered using variational methods,[1] and more recently, topological approaches have been used to attempt a classification in the planar case[5] References1. ^1 2 {{Cite journal | last1 = Vanderbei | first1 = Robert J. | doi = 10.1196/annals.1311.024 | title = New Orbits for the n-Body Problem | journal = Annals of the New York Academy of Sciences | volume = 1017 | pages = 422–433 | year = 2004 | url = http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.6108| pmid = 15220160| pmc = |arxiv = astro-ph/0303153 |bibcode = 2004NYASA1017..422V }} 2. ^Simó, C. [2000], New families of Solutions in N-Body Problems, Proceedings of the ECM 2000, Barcelona (July, 10-14). 3. ^[https://arxiv.org/abs/math/0011268 "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. ^"Braids in classical dynamics". Moore's numerical discovery of the figure-8 choreography using variational methods. Phys. Rev. Lett. 70, 3675. 5. ^{{cite arXiv|last1=Montaldi|first1=James|last2=Steckles|first2=Katrina|title=Classification of symmetry groups for planar n-body choreographies|arxiv=1305.0470}} External links
3 : Orbits|Gravitation|Classical mechanics |
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