| Choreographic solution to the general-relativistic three-body problem. | |
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MedLine Citation:
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PMID: 17677685 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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We reexamine the three-body problem in the framework of general relativity. The Newtonian N-body problem admits choreographic solutions, where a solution is called choreographic if every massive particle moves periodically in a single closed orbit. One is a stable figure-eight orbit for a three-body system, which was found first by Moore (1993) and rediscovered with its existence proof by Chenciner and Montgomery (2000). In general relativity, however, the periastron shift prohibits a binary system from orbiting in a single closed curve. Therefore, it is unclear whether general-relativistic effects admit choreography such as the figure eight. We examine general-relativistic corrections to initial conditions so that an orbit for a three-body system can be choreographic and a figure eight. This illustration suggests that the general-relativistic N-body problem also may admit a certain class of choreographic solutions. |
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Authors:
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Tatsunori Imai; Takamasa Chiba; Hideki Asada |
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Publication Detail:
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Type: Journal Article Date: 2007-05-17 |
Journal Detail:
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Title: Physical review letters Volume: 98 ISSN: 0031-9007 ISO Abbreviation: Phys. Rev. Lett. Publication Date: 2007 May |
Date Detail:
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Created Date: 2007-08-06 Completed Date: 2007-09-21 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0401141 Medline TA: Phys Rev Lett Country: United States |
Other Details:
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Languages: eng Pagination: 201102 Citation Subset: - |
Affiliation:
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Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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