On the instability of some configurations of relative equilibrium in the n-body problem.

Details On the instability of some configurations of relative equilibrium in the n-body problem. On the instability of some configurations of relative equilibrium in the n-body problem.

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989crasb.308.1153e&link_type=abstract

Comptes Rendus de l'Academie des Sciences, Sér. II, Tome 308, No. 13, p. 1153 - 1156

Computer Science

N-Body Problem: Stability, N-Body Problem: Equilibrium Figures

Scientific paper

The author proves that, in the n-body problem, the configurations of
relative equilibrium where the n bodies submitted to the Newtonian
mutual attractions are placed at the vertices of a regular n-sided
polygon are instable for all n ≥ 4.

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