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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 258, Pages 292–317 (Mi znsl1044)  
This article is cited in 9 scientific papers (total in 9 papers)

Central Configurations of the 5-body problem with equal masses in three-dimensional space

I. Kotsireas, D. Lazard

Laboratoire Jacques-Louis Lions, Université Pierre & Marie Curie
Full-text PDF (265 kB) Citations (9)
Abstract: 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.
Received: 23.06.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 6, Pages 1119–1138
DOI: https://doi.org/10.1023/A:1013508925715
Bibliographic databases:
UDC: 513/3.3, 618.3
Language: English
Citation: I. Kotsireas, D. Lazard, “Central Configurations of the 5-body problem with equal masses in three-dimensional space”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Zap. Nauchn. Sem. POMI, 258, POMI, St. Petersburg, 1999, 292–317; J. Math. Sci. (New York), 108:6 (2002), 1119–1138
Citation in format AMSBIB
\Bibitem{KotLaz99}
\by I.~Kotsireas, D.~Lazard
\paper Central Configurations of the 5-body problem with equal masses in three-dimensional space
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IV
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 258
\pages 292--317
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1044}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1755843}
\zmath{https://zbmath.org/?q=an:1004.70008}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 6
\pages 1119--1138
\crossref{https://doi.org/10.1023/A:1013508925715}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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