Finiteness of spatial central configurations in the five-body problem

Details Finiteness of spatial central configurations in the five-body problem Finiteness of spatial central configurations in the five-body problem

Apr 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.109..321h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 109, Issue 4, pp.321-332

Astronomy and Astrophysics

Astronomy

Central Configurations, N-Body Problem, Tropical Geometry, Polyhedral Fan, Albouy-Chenciner Equations

Scientific paper

We strengthen a generic finiteness result due to Moeckel by showing that
the number of spatial central configurations of the Newtonian five-body
problem with positive masses is finite, apart from some explicitly given
special cases of mass values.

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