New central configurations for the planar 7-body problem

Jaume Llibre; Luis Fernando Mello

doi:https://doi.org/10.1016/j.nonrwa.2008.04.006

New central configurations for the planar 7-body problem

Jaume Llibre, Luis Fernando Mello

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

In this paper we study numerically the existence of families of planar central configurations for the 7-body problem with the following properties: five bodies are on the vertices of a regular pentagon and the other two bodies are symmetrically positioned in the interior of the pentagon. © 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	2246-2255
Journal	Nonlinear Analysis: Real World Applications
Volume	10
DOIs	https://doi.org/10.1016/j.nonrwa.2008.04.006
Publication status	Published - 1 Aug 2009

Keywords

7-body problem
Planar central configurations

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https://doi.org/10.1016/j.nonrwa.2008.04.006

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title = "New central configurations for the planar 7-body problem",

abstract = "In this paper we study numerically the existence of families of planar central configurations for the 7-body problem with the following properties: five bodies are on the vertices of a regular pentagon and the other two bodies are symmetrically positioned in the interior of the pentagon. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

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AU - Mello, Luis Fernando

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AB - In this paper we study numerically the existence of families of planar central configurations for the 7-body problem with the following properties: five bodies are on the vertices of a regular pentagon and the other two bodies are symmetrically positioned in the interior of the pentagon. © 2008 Elsevier Ltd. All rights reserved.

KW - 7-body problem

KW - Planar central configurations

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DO - https://doi.org/10.1016/j.nonrwa.2008.04.006

M3 - Article

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VL - 10

SP - 2246

EP - 2255

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

New central configurations for the planar 7-body problem

Abstract

Keywords

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