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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 258, Pages 292–317 (Mi znsl1044)

This article is cited 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

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.

UDC: 513/3.3, 618.3

Received: 23.06.1999

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2002, 108:6, 1119–1138

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