Symmetric central configurations of the spatial n-body problem

Ferran Cedó; Jaume Llibre

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

Symmetric central configurations of the spatial n-body problem

Ferran Cedó, Jaume Llibre

Departament de Matemàtiques

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	367-394
Revista	Journal of Geometry and Physics
Volum	6
DOIs	https://doi.org/10.1016/0393-0440(89)90010-7
Estat de la publicació	Publicada - 1 de gen. 1989

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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.",

keywords = "n-body problem, symmetries",

author = "Ferran Ced{\'o} and Jaume Llibre",

year = "1989",

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doi = "10.1016/0393-0440(89)90010-7",

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T1 - Symmetric central configurations of the spatial n-body problem

AU - Cedó, Ferran

AU - Llibre, Jaume

PY - 1989/1/1

Y1 - 1989/1/1

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 - 10.1016/0393-0440(89)90010-7

DO - 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

Resum

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