Seven-body central configurations: A family of central configurations in the spatial seven-body problem

Marshall Hampton; Manuele Santoprete

doi:10.1007/s10569-007-9102-9

Seven-body central configurations: A family of central configurations in the spatial seven-body problem

Marshall Hampton, Manuele Santoprete

Mathematics & Statistics

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36 Scopus citations

Abstract

The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex stacked central configuration, i.e the bodies are arranged as concentric three and two dimensional simplexes.

Original language	English (US)
Pages (from-to)	293-305
Number of pages	13
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	99
Issue number	4
DOIs	https://doi.org/10.1007/s10569-007-9102-9
State	Published - Dec 2007

Bibliographical note

Funding Information:
Acknowledgements Marshall Hampton was partially supported by NSF grant DMS-0202268. Manuele Santoprete was partially supported by start-up funds from Wilfried Laurier University.

Keywords

Celestial mechanics
Central configurations
N-body problem
Relative equilibria

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abstract = "The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex stacked central configuration, i.e the bodies are arranged as concentric three and two dimensional simplexes.",

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Seven-body central configurations: A family of central configurations in the spatial seven-body problem

Abstract

Bibliographical note

Keywords

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