Symmetric central configurations of the spatial n-body problem

Ferran Cedó; Jaume Llibre

doi:https://doi.org/10.1016/0393-0440(89)90010-7

Symmetric central configurations of the spatial n-body problem

Ferran Cedó, Jaume Llibre

Department of Mathematics

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

19 Citations (Scopus)

Abstract

We characterize the non-planar central configurations of the spatial n-body problem with equal masses which are orbits of a finite group of isometries of R 3. As a corollary we obtain that the spatial n-body problem with equal masses and n > 5 has at least two equivalence classes of non-planar central configurations modulo homotheties and rotations. © 1989.

Original language	English
Pages (from-to)	367-394
Journal	Journal of Geometry and Physics
Volume	6
DOIs	https://doi.org/10.1016/0393-0440(89)90010-7
Publication status	Published - 1 Jan 1989

Keywords

n-body problem
symmetries

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https://doi.org/10.1016/0393-0440(89)90010-7

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title = "Symmetric central configurations of the spatial n-body problem",

abstract = "We characterize the non-planar central configurations of the spatial n-body problem with equal masses which are orbits of a finite group of isometries of R 3. As a corollary we obtain that the spatial n-body problem with equal masses and n > 5 has at least two equivalence classes of non-planar central configurations modulo homotheties and rotations. {\textcopyright} 1989.",

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AU - Llibre, Jaume

PY - 1989/1/1

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N2 - We characterize the non-planar central configurations of the spatial n-body problem with equal masses which are orbits of a finite group of isometries of R 3. As a corollary we obtain that the spatial n-body problem with equal masses and n > 5 has at least two equivalence classes of non-planar central configurations modulo homotheties and rotations. © 1989.

AB - We characterize the non-planar central configurations of the spatial n-body problem with equal masses which are orbits of a finite group of isometries of R 3. As a corollary we obtain that the spatial n-body problem with equal masses and n > 5 has at least two equivalence classes of non-planar central configurations modulo homotheties and rotations. © 1989.

KW - n-body problem

KW - symmetries

U2 - https://doi.org/10.1016/0393-0440(89)90010-7

DO - https://doi.org/10.1016/0393-0440(89)90010-7

M3 - Article

SN - 0393-0440

VL - 6

SP - 367

EP - 394

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Symmetric central configurations of the spatial n-body problem

Abstract

Keywords

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