Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Tome 258 (1999), pp. 292-317
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I. Kotsireas; D. Lazard. Central Configurations of the 5-body problem with equal masses in three-dimensional space. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Tome 258 (1999), pp. 292-317. http://geodesic.mathdoc.fr/item/ZNSL_1999_258_a15/
@article{ZNSL_1999_258_a15,
author = {I. Kotsireas and D. Lazard},
title = {Central {Configurations} of the 5-body problem with equal masses in three-dimensional space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {292--317},
year = {1999},
volume = {258},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_258_a15/}
}
TY - JOUR
AU - I. Kotsireas
AU - D. Lazard
TI - Central Configurations of the 5-body problem with equal masses in three-dimensional space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 292
EP - 317
VL - 258
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_258_a15/
LA - en
ID - ZNSL_1999_258_a15
ER -
%0 Journal Article
%A I. Kotsireas
%A D. Lazard
%T Central Configurations of the 5-body problem with equal masses in three-dimensional space
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 292-317
%V 258
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_258_a15/
%G en
%F ZNSL_1999_258_a15
We enumerate central configurations with axial symmetry in the 5-body problem with equal masses in three-dimensional space. It is thus shown, that only two of these configurations, have a unique symmetry axis. The use of Symbolic Computation techniques is necessary because of the very tedious computations involved in the proof.
